Which of the following describes graphing y > Ixl +4?
Translate y = lxl down 4 units and shade inside the V.
Translate y = |xl up 4 units and shade inside the V.
Translate y = 1xl left 4 units and shade inside the V.
Translate y = Ixl right 4 units and shade inside the V.
Answers
Answer:
B
Step-by-step explanation:
Since the d value is changed, we're talking about a vertical transformation. Since d > 0, the graph is shifted up.
Related Questions
Is an elevation of -10 feet closer or farther from the surface of the ocean than an elevation of -8 feet?
Answers
Answer:
farther
Step-by-step explanation:
The negative sign means that it is 10 feet down while -8 is only 8 feet down
An elevation of -10 feet is farther from the surface of the ocean than - 8 feet.
What is something else that can not be negative?Time can not be negative as we can not go to past.Time is unidirectional.
According to the given question we have to determine Is an elevation of -10 feet closer or farther from the surface of the ocean than an elevation of -8 feet.
We know that -10 is less than -8 as it is present in the left of -8 in the number line that is one case.
But here we are measuring elevation which is length and we know length can not be negative so going by the idea of length an elevation of -10 feet is farther from the surface of the ocean we are diving 10 feet below here so more distance.
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A right triangle has legs measuring 4.5 meters and 1.5 meters. The length of a second triangle are proportional to the lengths of the legs of the first triangle. Which could be the length of the legs of the second triangle? A) 6m and 2m B) 8m and 5m C) 7m and 3.5m D) 10m and 2.5m E) 11.25 and 3.75m
Answers
Answer:
A. 6m and 2m
E. 11.25m and 3.75m
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Verify each case
case A) 6m and 2m
[tex]\frac{6}{4.5}=\frac{2}{1.5} \\ \\6(1.5)=2(4.5)\\ \\9=9[/tex]
therefore
The legs are proportional
case B) 8m and 5m
[tex]\frac{8}{4.5}=\frac{5}{1.5} \\ \\8(1.5)=5(4.5)\\ \\12\neq22.5[/tex]
therefore
The legs are not proportional
case C) 7m and 3.5m
[tex]\frac{7}{4.5}=\frac{3.5}{1.5} \\ \\7(1.5)=3.5(4.5)\\ \\10.5\neq15.75[/tex]
therefore
The legs are not proportional
case D) 10m and 2.5m
[tex]\frac{10}{4.5}=\frac{2.5}{1.5} \\ \\10(1.5)=2.5(4.5)\\ \\15\neq11.25[/tex]
therefore
The legs are not proportional
case E) 11.25m and 3.75m
[tex]\frac{11.25}{4.5}=\frac{3.75}{1.5} \\ \\11.25(1.5)=3.75(4.5)\\ \\16.875=16.875[/tex]
therefore
The legs are proportional
Myra invested $10,000 in an account earning a nominal 8% per year compounded continuously. How much was in the account at the end of one year? Round the answer to nearest dollar.
Answers
Answer:
[tex]\$10,833[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=1\ years\\ P=\$10,000\\ r=0.08[/tex]
substitute in the formula above
[tex]A=\$10,000(e)^{0.08*1}=\$10,833[/tex]
Compound interest computed continuously after one year on a principal sum of $10,000 with an 8% interest rate will yield $10,833, rounded to the nearest dollar.
Explanation:Your question relates to the mathematics topic of compound interest. When interest is compounded continuously, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal form), and t is the time in years.
In your case, you are looking to find how much $10,000, invested at a nominal 8% per year compounded continuously, would amount to at the end of one year. Substituting the given values into the formula, we have:
A = $10,000 * e^(0.08*1).
The value of 'e' is approximately 2.71828. Therefore, we calculate:
A = $10,000 * 2.71828^0.08 = $10,833.
So, the amount in the account at the end of one year, rounded to the nearest dollar, would be $10,833.
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Solve the equation (linear equation)
[tex]4^{x-7}[/tex] × [tex]8^{2x-3} =\frac{32}{2^{x-9} }[/tex]
Answers
Answer: [tex]x=\frac{37}{9}[/tex]
Step-by-step explanation:
By the negative exponent rule, you have that:
[tex](\frac{1}{a})^n=a^{-n}[/tex]
By the exponents properties, you know that:
[tex](m^n)^l=m^{(nl)}[/tex]
[tex](m^n)(m^l)=m^{(n+l)}[/tex]
Rewrite 4, 8 and 32 as following:
4=2²
8=2³
32=2⁵
Rewrite the expression:
[tex](2^2)^{(x-7)}*(2^3)^{(2x-3)}=\frac{32}{2^{(x-9)}}[/tex]
Keeping on mind the exponents properties, you have:
[tex](2)^{2(x-7)}*(2)^{3(2x-3)}=32(2^{-(x-9)}[/tex]
[tex](2)^{2(x-7)}*(2)^{3(2x-3)}=(2^5)(2^{-(x-9)})\\\\(2)^{(2x-14)}*(2)^{(6x-9)}=(2^5)(2^{(-x+9)})\\\\2^{((2x-14)+(6x-9))}=2^{(5+(-x+9))}[/tex]
As the bases are equal, then:
[tex](2x-14)+(6x-9)=5+(-x+9)\\\\2x-14+6x-9=5-x+9\\\\8x-23=14-x\\9x=37[/tex]
[tex]x=\frac{37}{9}[/tex]
Answer:
[tex]x=4\frac{1}{9}[/tex]
Step-by-step explanation:
We are given the following linear equation and we are to solve it:
[tex] 4 ^ { x - 7 } \times 8 ^ { 2x - 3 } = \frac { 32 } { x ^ { x - 8 } } [/tex]
Changing the constants to the same base to make it easier to solve:
[tex] 2 ^ { 2 ( x - 7 ) } \times 2^ { 3 ( 2x - 3 ) } = \frac { 2 ^ 5 } { 2 ^ { x - 9 } } [/tex]
[tex]2^{2x-14} \times 2^{6x-9} = 2^{5}(2^{-x+9})[/tex]
[tex] 2 ^ { 2x - 14 + 6x - 9 } = 2 ^ { 5 - x + 9 } [/tex]
[tex] 2 x + 6x - 14 - 9 = 5 - x + 9 [/tex]
[tex]8x+x=14+9+5+9[/tex]
[tex]9x=37[/tex]
[tex]x=4\frac{1}{9}[/tex]
1.5 horas para realizar un afinamiento; 0,2 horas para limpiar la bateria; 0,75 horas para cambiar el aceite y el filtro del motor; 1,45 horas para cambiar y alinear luces; y 1,3 horas para reparar el sistema de aire acondicionado. Por hora de trabajo cobra 32,8 soles; ?Cuánto cuesta la reparación del automóvil?
Answers
El costo total por concepto de la reparación del automóvil es de 170,56 soles.
¿Cómo calcular el costo total de la reparación de un automóvil?
En este problema se debe determinar el costo total por concepto de la reparación de un automóvil. Dimensionalmente hablando, se tiene que el costo total se determina mediante la siguiente fórmula:
C = c · Δt
Donde:
c - Costo unitario por hora de trabajo, en soles por hora. Δt - Tiempo, en horas.C - Costo total, en soles.A continuación, el costo total se calcula según la información suministrada por el enunciado de la pregunta:
C = (32,8 soles / hora) · (1,5 horas + 0,2 horas + 0,75 horas + 1,45 horas + 1,3 horas)
C = 170,56 soles
Find the exact value of sine, cosine, and tangent of A and T for each triangle.
Answers
Answer:
See below
Step-by-step explanation:
19)
13² = 4² + AM²
169 = 16 + AM ²
AM ² = 153
AM =√153 = √(9× 17) = 3√17
sinA = MT /AT = 4/13
cosA = AM/AT = (3√17)/13
tanA = MT/AM = 4/(3√17) = (4√17)/51
sinT = AM/AT = (3√17)/13
cosT = MT/AT = 4/13
tanT = AM/MT = (3√17)/4
20)
10² = 5² + AJ²
100 = 25 + AJ²
AJ² = 75
AJ = √75 = √(25×3) = 5√3
sinA = JT/AT = 5/10 = ½
cosA = AJ/AT = (5√3)/10 = (√3)/2
tanA = AJ /AJ = 5/(5√3) = (√3)/3
sinT = AJ/AT = (5√3)/10 = (√3)/2
cosT = AJ/AT = 5/10 = ½
tanT = AJ/JT = (5√3)/5 = √3
Which expression best represents the product of two consecutive integers? CLEAR CHECK x?(2+x) x?(x+1) 2?(x+1) 2x+2
Answers
Answer:
The product of two consecutive integers:x · (x+1) = x(x + 1)Step-by-step explanation:
Consecutive integer:
... -2, -1, 0, 1, 2, 3, ...
Difference between two consecutive integers is equal to 1.
Therefore two consecutive integers is x and x + 1.
in the symbol AB, the letter A represents a(n) ANSWERS : a.) segment b.) ray c.) point d.)plane
Answers
It would have to be C. point.
Since it says AB that marks two points and a line in between them. If only talking about A, it would be a point.
Option: C is the correct answer.
c.) Point
Step-by-step explanation:In the symbol AB:
AB represents a line segment which connects point A to point B.
If there would be an arrow over this with right arrow then it would represent a ray which originates at point A an it extends to infinity from the other direction.
Hence the letter A will represent a : Point.
Write ln 2x + 2x ln x -ln 3y as a single logarithm.
Answers
Answer: option c.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:
[tex]ln(b)-ln(a)=ln(\frac{b}{a})\\\\ln(b)+ln(a)=ln(ba)\\\\a*ln(b)=ln(b)^a[/tex]
Therefore, knowing the properties, you can write the expression gven in the problem as shown below:
[tex]ln2x+2lnx-ln3y=ln2x+lnx^2-ln3y\\\\=ln(2x)(x^2)-ln3y\\\\=ln(\frac{2x^3}{3y})[/tex]
Therefore, the answer is the option c.
Answer:
C
Step-by-step explanation:
We can use 3 properties here to write this as single logarithm:
1. Log (a^b) = b Log a
2. Log x + Log y = Log (x*y)
3. Log x - Log y = Log (x/y)
We can use property #1 first to write:
[tex]ln2x+2lnx-ln3y\\=ln2x+lnx^2-ln3y[/tex]
Now we can use property #2 and property #3 to write this as single logarithm:
[tex]ln2x+lnx^2-ln3y\\=ln(\frac{(2x)(x^2)}{3y})\\=ln(\frac{2x^3}{3y})[/tex]
Answer choice C is right.
What is the sum of the series 3,---5,-13..........-229
Answers
ANSWER
[tex]S_{30}= - 3390[/tex]
EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of
[tex]d = - 5 - 3 = - 8[/tex]
The last term of this sequence is -229.
The nth term of this sequence is given by:
[tex]a_n=a_1+d(n-1)[/tex]
We use the last term to determine the number of terms in the sequence.
[tex] - 229 = 3 + - 8(n - 1)[/tex]
[tex]- 229 - 3= - 8(n - 1)[/tex]
[tex]- 232= - 8(n - 1)[/tex]
Divide through by -8;
[tex]29= (n - 1)[/tex]
[tex]n = 30[/tex]
Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:
[tex]S_n= \frac{n}{2} ( a_{1} + l)[/tex]
The sum of the first 30 terms is given by:
[tex]S_{30}= \frac{30}{2} ( 3 + - 229)[/tex]
[tex]S_{30}=15( - 226)[/tex]
[tex]S_{30}= - 3390[/tex]
Justin receives $15 $ 15 and puts it into his savings account. He adds $0.25 $ 0 . 25 to the account each day for a number of days, d , after that. He writes the expression 15+0.25(?1) 15 + 0 . 25 ( d - 1 ) to find the amount of money in his account after d days. Which statement about his expression is true?
Answers
Answer:
15.25
Step-by-step explanation:
Answer:
It is the sum of the initial amount and the additional amount after d days.
Step-by-step explanation:
It is the sum of the initial amount and the additional amount after d days.i have ttm
Expand the following logs:
[tex]log_{2} \sqrt{ab^{3} }[/tex]
SHOW ALL WORK.
Answers
Answer:
[tex]\log_2(ab^3)^{\frac{1}{2}}=\frac{1}{2}[\log_2(a)+3\log_2(b)][/tex].
Step-by-step explanation:
The given logarithmic expression is [tex]\log_2\sqrt{ab^3}[/tex].
We rewrite the radical as an exponent to obtain;
[tex]\log_2(ab^3)^{\frac{1}{2}}[/tex].
Recall that; [tex]\log_a(M^n)=n\log_a(M)[/tex]
We apply this rule to obtain;
[tex]=\frac{1}{2}\log_2(ab^3)[/tex].
We now use the rule: [tex]\log_a(MN)=\log_a(M)+\log_a(N)[/tex]
This implies that;
[tex]=\frac{1}{2}[\log_2(a)+\log_2(b^3)][/tex].
We again apply: [tex]\log_a(M^n)=n\log_a(M)[/tex]
[tex]=\frac{1}{2}[\log_2(a)+3\log_2(b)][/tex].
Quick does anyone know the answer to this algebra question? Will give brainiest
Answers
Reducing the equation, we get:
3^(3-3a) = 3^(-2a)
So 3-3a = -2a, a = 3.
The value of the variable 'a' will be 3. Then the correct option is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
[tex]7 + 42 \cdot 3^{2 - 3a} = 14 \cdot 3^{-2a} + 7[/tex]
Simplify the equation, then we have
[tex]42 \cdot 3^{2 - 3a} = 14 \cdot 3^{-2a}\\\\3^{2 - 3a} = \dfrac{1}{3} \cdot 3^{-2a}\\\\\left (3 \right )^{2 - 3a } } = (3)^{-1 - 2a}[/tex]
Compare the power of the number 3, then we have
- 1 - 2a = 2 - 3a
3a - 2a = 2 + 1
a = 3
The value of the variable 'a' will be 3. Then the correct option is C.
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Which sentence best describes the function below? F(x) = x^3 - x^2 -9x + 9 A. It fails the vertical line test B. It is a one-to-one function C. It is not a function D. It is a many-to-one function
Answers
Answer:
D
Step-by-step explanation:
This function graphed as the picture attached below show is a function. It passes the vertical test. However, it does not pass the horizontal line. This means the function is not one-to-one but many-to -one.
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. How many ounces of water, x, should be added to 30 ounces of coffee that John likes to make the coffee that Lily likes?
Answers
30 ounces of the coffee John likes consists of
[tex]0.96\cdot30=28.8[/tex] ounces of water[tex]0.04\cdot30=1.2[/tex] ounces of cocoaTo this mixture we're adding [tex]x[/tex] ounces of water, so that the new mix has a total volume of [tex]30+x[/tex] ounces and matches the composition of the coffee Lily likes. This means it would consist of
[tex]0.973\cdot(30+x)=28.8+x[/tex] ounces of water[tex]0.027\cdot(30+x)=1.2[/tex] ounces of cocoa (same amount of cocoa as before because pure water is being added)Solve for [tex]x[/tex]:
[tex]0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x[/tex]
[tex]\implies0.39=0.027x[/tex]
[tex]\implies x\approx14.4[/tex]
###
Just to confirm: the new mixture consists of
[tex]28.8+14.4=43.2[/tex] ounces of water[tex]1.2+0=1.2[/tex] ounces of cocoagiving a total volume of [tex]43.2+1.2=44.4[/tex] ounces of coffee, and [tex]\dfrac{43.2}{44.4}\approx0.973[/tex], as required.
if the air temperature is 20°c and the relative humidity is 55 percent, will the dew point be reached if the temperature drops to 20°C?
Answers
Answer:
Your dew point would be at 10.
Step-by-step explanation:
will mark brainliest !!!!!!
Answers
The base of the middle triangle is 3 and the base of the larger one is 6, so the larger triangle is twice the size of the middle one.
Multiply the height of the middle one by 2 to get the height of the larger one, which is labeled n.
n = 5 x 2 = 10
Each shape has 1 whole. What fraction greater than 1 names the parts that are shaded
Answers
Answer:
THERE IS NO PICTURE OR VISUAL REPRESENTATION
Step-by-step explanation:
(Q8) The graph of an exponential function is given. Which of the following is the correct equation of the function? (Picture Provided)
Answers
Answer:
b. [tex]y=3.9^x[/tex]
Step-by-step explanation:
Remember that the standard exponential function is [tex]y=ab^x[/tex]
where
[tex]a[/tex] is the coefficient
[tex]b[/tex] is the base
If [tex]b>0[/tex], the function is growing
If [tex]0<b<1[/tex] the graph is decaying
We can infer from the graph that the function is growing, so we can discard [tex]y=0.45^x[/tex] and [tex]y=0.73^x[/tex].
Now, to evaluate our tow remaining equations, we are using the test values [tex]x=0[/tex] and [tex]x=1[/tex]:
For [tex]y=1.8^x[/tex]
For [tex]x=0[/tex]
[tex]y=1.8^0[/tex]
[tex]y=0[/tex]
For [tex]x=1[/tex]
[tex]y=1.8^1[/tex]
[tex]y=1.8[/tex]
The graph passes through the points (0,1) and (1, 1.8)
For [tex]y=3.9^x[/tex]
[tex]x=0[/tex]
[tex]y=3.9^0[/tex]
[tex]y=0[/tex]
[tex]x=1[/tex]
[tex]y=3.9^1[/tex]
[tex]y=3.9[/tex]
The graph passes through the points (0,1) and (1, 3.9)
We can see in the graph when [tex]x=1[/tex], [tex]y[/tex] is almost 4, so we can conclude that the correct equation is [tex]y=3.9^x[/tex]
Ernestine deposited $6800 into a savings account that earns 3.5% simple interest each year calculate annually what is the future value of understands account to 16 years
Answers
Answer:
[tex]\$10,608[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=16\ years\\ P=\$6,800\\r=0.035[/tex]
substitute in the formula above
[tex]A=\$6,800(1+0.035*16)=\$10,608[/tex]
A polynomial function has roots – 6 and 2. Which of the following could represent this function?
f(x) = (x + 6)(x + 2)
f(x) = (x – 6)(x – 2)
f(x) = (x – 6)(x + 2)
f(x) = (x + 6)(x – 2)
Answers
Answer:
f(x) = (x + 6)(x – 2)
Step-by-step explanation:
The roots of a polynomial are the solutions to its factors. This means you can set the factors equal to 0 and the roots are the solution. Working backwards, if the roots are x = -6 and x = 2 then they must have resulted from factors x + 6 and x - 2. This is true since x + 6 = 0 has solution x = -6. And x-2 = 0 has solution x = 2.
So the polynomial has factors (x+6)(x-2). The solution is f(x) = (x + 6)(x – 2).
Answer:
the answer is 4
Step-by-step explanation:
just did it on edge.
your welcome
At a new exhibit in the Museum of Science, people are asked to choose between 73 or 175 random draws from a machine. The machine is known to have 98 green balls and 61 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 70% of the draws result in a green ball. [You may find it useful to reference the z table.] a. Calculate the probability of getting more than 70% green balls. (Round your intermediate proportion values and “z” value to 2 decimal places, and final answer to 4 decimal places.) b. Would you choose 73 or 175 draws for the game?
Answers
Answer:
Probability of winning first situation: 0.0793
Probability of winning second situation: 0.0146
You should go with the first option
Step-by-step explanation:
See attached photo for answers. For this situation you need to identify p-hat, p, q and n.
P-hat, p, and q all stay the same for both situations, only n changes.
p-hat is the proportion of green balls we want, which is 0.7
p = 98/159 = 0.62
q = 0.38 because q = 1 - p, which in this case is q = 1 - 0.62 = 0.38
n = 73 for the first situation, and n = 175 for the second situation
Using the normal probability distribution and the central limit theorem, it is found that:
a)
With 73 draws, there is a 0.0808 = 8.08% probability of getting more than 70% green balls.
With 175 draws, 0.015 = 1.5% probability of getting more than 70% green balls.
b)
Due to the higher probability of getting more than 70% green balls, 73 draws should be chosen.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Central Limit Theorem
It states that the sampling distribution of the sample means with size n can be approximated to a normal distribution. For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]Item a:
98 green balls out of 158, thus [tex]p = \frac{98}{158} = 0.6203[/tex]
Out of 73 draws:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6203(0.3797)}{73}} = 0.0568[/tex]
The probability of more than 70% green balls is 1 subtracted by the p-value of Z when X = 0.7, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6203}{0.0568}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
1 - 0.9192 = 0.0808
With 73 draws, there is a 0.0808 = 8.08% probability of getting more than 70% green balls.
Out of 175 draws:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6203(0.3797)}{175}} = 0.0367[/tex]
Then:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6203}{0.0367}[/tex]
[tex]Z = 2.17[/tex]
[tex]Z = 2.17[/tex] has a p-value of 0.985.
1 - 0.985 = 0.015.
With 175 draws, 0.015 = 1.5% probability of getting more than 70% green balls.
Item b:
Due to the higher probability of getting more than 70% green balls, 73 draws should be chosen.
A similar problem is given at https://brainly.com/question/24663213
The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test. What percent of students scored below Jake? Include a step by step description of the process you used to find that percentage. (Round your answer to the nearest whole number.)
Answers
Answer:
63 percent student scored below Jake.
Step-by-step explanation:
For finding the percentile
Step 1: Subtracting mean from Jake’s score
=520-500
=20
Step 2: Calculating z-score
The z-Score is found by dividing the difference obtained in step 1 by SD of the data
z-score= 20/60
z-score=0.333
Step 3: Converting the z-score to percentile
The z-score will be converted to percentile using the z-score to percentile conversion table, the value of percentile for 0.3333 is 63rd .
So, 63 percent students scored below Jake.
Which will have a higher effective interest rate — a payday loan for $1900 that is due in 14 days with a fee of $80, or a payday loan for $1900 that is due in 12 days with a fee of $80?
A. A payday loan for $1900 that is due in 12 days with a fee of $80, since it has the longer period
B. A payday loan for $1900 that is due in 14 days with a fee of $80, since it has the shorter period
C. A payday loan for $1900 that is due in 14 days with a fee of $80, since it has the longer period
D. A payday loan for $1900 that is due in 12 days with a fee of $80, since it has the shorter period
Answers
Answer:
It's D.
Step-by-step explanation:
The shorter period loan has the same total interest for the same loan amount, so it has the higher effective interest rate: 80/12 is higher than 89/14.
A payday credit for $1900 that is expected in 12 days with an expense of $80, since it has the less limited time frame. Then the correct option is D.
What is the loan?When buying or recovering proposals in a common asset, a financial backer may be paid a business fee or commission. Deals with fees can be set up in a variety of ways.
Banks and insurance providers may offer their clients a grace period, which allows them to postpone payment for a predetermined amount of time after the time limit (after the payment deadline).
A payday credit for $1900 that is expected in 14 days with a charge of $80 or a payday credit for $1900 that is expected in 12 days with a charge of $800.
A payday credit for $1900 that is expected in 12 days with an expense of $80, since it has the less limited time frame. Then the correct option is D.
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Parallelogram abcd is divided into two triangles along diagonal ac. if you know the area of the parallelogram, how do you find the area of triangle abc
Answers
Answer :- Just try area/2 or half the area of the triangle
Answer:
Step-by-step explanation:
The area of triangle abc would be half the area of the parallelogram. The two triangles are of equal area.
Noah has 5 meters of rope. How many pieces of rope of length 1/2 meter can he cut from it?
Answers
Answer:
10
Step-by-step explanation:
We are taking 5m and dividing by 1/2 m
5 ÷ 1/2
Copy dot flip
5 * 2/1
10
We can get 10 pieces from the rope
10 pieces of rope of length 0.5 meter can be cut from the rope of total length 5 meters.
Given :
Total length of Rope = 5 m.
Division is about breaking something into many pieces. The number you are dividing is called the dividend. The number you are "dividing by" is the divisor. The answers to your division problems are called quotients.
Number of pieces of rope of length 0.5 meter will be calculated as follows:
[tex]=\dfrac{5}{0.5}[/tex]
[tex]=10[/tex]
10 pieces of rope of length 0.5 meter can he cut from it.
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A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the clock in 2 hours. How many pallets can he move before quitting time?
Answers
Number of pallets moved in 4.5 hours = 108
converting 4.5 hours in minutes we get,
4*60 + 0.5*60 = 240+30 = 270 minutes
So, 108 pallets were moved in = 270 minutes
1 pallet was moved in = [tex]\frac{270}{108}=2.5[/tex] minutes
As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = [tex]\frac{120}{2.5}= 48[/tex] pallets.
Hence, 48 pallets can be moved before quitting time.
Answer:
The answer is 2.5 minutes; 48 pallets
Step-by-step explanation:
Number of pallets worker moved in a warehouse = 108
Number of hours it takes to do so = 4.5
Rate at which they require to move one pallet is given by
Number of pallets worker moved in a warehouse = 108
Number of hours it takes to do so = 4.5
Rate at which they require to move one pallet is given by
4.5/108 x 60 minutes = 2.5 minutes
Now, if the worker will be off the clock in 2 hours ,
So, number of pallets he can move before quitting time is given by
In 4.5 hours, number of pallets they moved = 108
In 1 hour, number of pallets they moved = 108/4.5 = 24
In 2 hours, number of pallets they moved = 24 x 2 = 48
Do the following lengths form a right triangle?
Answers
Answer:
22, no: 24, yes
Step-by-step explanation:
22 wouldn't be a triangle because when you square both sides
8^2+6^2= 81 (but 9^2 is 81) the 2 values surpasses 81
24 would be a triangle because
8^2+6^2=10^2
64+36=100
In triangle ABC, c is the hypotenuse, 0=25°, and b =3, Find the length of c ?
Answers
Answer:
[tex]\large\boxed{c\approx3.31}[/tex]
Step-by-step explanation:
Use cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
[tex]\cos\theta=\dfrac{b}{c}[/tex]
We have:
[tex]\theta=25^o\to\cos25^o\approx0.9063\\\\b=3[/tex]
Substitute:
[tex]\dfrac{3}{c}=0.9063[/tex]
[tex]\dfrac{3}{c}=\dfrac{9063}{10000}[/tex] cross multiply
[tex]9063c=30000[/tex] divide both sides by 9063
[tex]c\approx3.31[/tex]
Need Answer ASAP
What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4) ?
Answers
PARALLEL slopes always have the same slope no matter what because they are parallel
Answer:
[tex]y=47x-654[/tex]
Step-by-step explanation:
To find the line parallel to the given linear equation, we have to use the same slope, because the condition of parallelism is that they must have the same slope.
So, the slope of the given line is [tex]m=47[/tex], because it's expressed in slope-intercept form, where the coefficient of the variable x is the slope.
Now, we know that they new parallel lines must have a slope equal to 47, and must pass through (14,4). Using this data, we apply the point-slope formula to find the equation of the new line:
[tex]y-y_{1}=m(x-x_{1})\\y-4=47(x-14)\\y=47x-658+4\\y=47x-654[/tex]
The image attached shows the parallelism.
Therefore, the answer is [tex]y=47x-654[/tex]