Answer: C
Step-by-step explanation:
Alright, first let’s review what compound interest is. Instead of simple interest which pays interest on the principal, it pays interest on the amount in the bank each year, so it basically pays interest on the principal with previous interest. Lets run this example through the years:
Year 1:
= $1800 + 5% (Of 1800)
= $1800 + $90
= $1890
Year 2:
= $1890 + 5% (of 1890)
= $1890 + $94.5
= $1984.50
Year 3:
= $1984.50 + 5% (of 1984.50)
= $1984.50 + $99.23 (I rounded it to the nearest hundredth from its original state, $99.225)
= $2083.73
Year 4:
= $2083.73 + 5% (of 2083.725)
= $2083.73+ $104.19 (I rounded it to the nearest hundredth from its original state, $104.1865)
= $2187.92
Year 5:
= $2187.92 + 5% (of $2187.92)
= $2187.92 + $109.40 (rounded to the nearest hundredth from 109.396)
= $2297.32
This is as close as you can get to answer C, it’s just off one cent because of all the rounding!
easy to read. Then solve the problem.
You climb a steep hill with 5 of your friends. You climb at a steady rate of 13 feet per minute. After 9
minutes, you are the second person to reach the top of the hill. How many feet did you climb?
Answer:
117 ft
Step-by-step explanation:
13 x 9 = 117
Answer:
117
Step-by-step explanation: since you climb 13 feet per minute you do 13×9 to get the answer of 117
ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.
Answer: No
Step-by-step explanation:
I believe there would only be one describing both if they were parallel lines, but they are going two different directions in this graph. Correct me if I am wrong!
Someone help me with this please. It is not circumference, so I do not know what to do...
5 stars and thanks for anyone who answers, asks for details, and comments.
Choose the best function model to represent the following situation: The height of a penny as it is dropped from a building roof.
1. Linear
2. Exponential
3. Quadratic
4. None of the above
Please Answer This is worth 100 points. If you answer correctly I will give you branliest.
Answer:
3. Quadratic
Step-by-step explanation:
Penny is falling under gravity
acceleration due to gravity is constant
Velocity is the integral of acceleration, which is linear
Displacement is the integral of velocity, which is quadratic
What is the surface area of the cylinder? Express the answer in terms of -
d = 8 cm
h = 18 cm
Recall the formula SA - 23+ + 2
152
cm
Answer:
Surface area is 176π cm²
Step-by-step explanation:
Data
diameter, d = 8 cmheight, h = 18 cmSurface area (SA) of the cylinder is computed as follows:
SA = π*d*h + π*d²/2
Replacing with data:
SA = π*8*18 + π*8²/2
SA = 144π + 32π
SA = 176π cm² ≈ 552.92cm²
Identify the infinite sequence generated by the formula an = (−1)n ⋅ 2n.
Answer:
E2020
Step-by-step explanation:
The infinite sequence can be written as -2, 4, -6, 8 ..... with common difference -2.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1).
The expression for the general term for the given sequence is as below,
aₙ = (-1)ⁿ2n
The various terms can be written for different values of n as follows,
⇒ a₁ = (-1)¹ × 2 × 1 = -2
⇒ a₂ = (-1)² × 2 × 2 = 4
⇒ a₃ = (-1)³ × 2 × 3 = -6
⇒ a₄ = (-1)⁴ × 2 × 4 = 8
The common ratio can be given as a₂/a₁ = 4/-2 = -2
Hence, the given infinite sequence can be written as -2, 4, -6, 8 ..... with common ratio -2.
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When might it NOT be a good idea to use a dot plot to organize data?
Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.
What is interquartile range?In descriptive statistics, the interquartile range is a measure of statistical dispersion, which is the spread of the data.It is defined as the difference between the 75th and 25th percentiles of the data.Given is to investigate the disadvantage of using the dot plot to organize data.
Dot plots work very well for data with a small number of values.They would not work well for large sets of data, because a dot would need to be plotted for each value. Histograms or box plots are more useful for large sets of dataTherefore, Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.
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Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have in all?
Answer:
12 feet
Step-by-step explanation:
4.5 pieces of rope = 9/2 pieces in fractions
Also, 2 2/3 can be rewritten as 8/3 in fractions
So, 9/2 *8/3 = 72/6 = 12 feet
Allyson has 12 feet of rope in all.
60 points
Which equation represents a proportional relationship?
A) y = 2 5 x
B) y = 1 3 x + 5
C) y = −3x − 1
D) y = 2x + 0.5
Answer:
choice A: y = 25*x
Step-by-step explanation:
A proportional relationship between x and y would be y = 25*x
because y/x = 25 (a constant)
We could say that y = 2x + 0.5 can be a proportion relationship, but not between y and x directly.
y= 2* x + 2* (1/4) = 2* (x + 1/4)
and get : y / (x + (1/4) ) = 2 y and (x + (1/4)) are in a proportional relationship, except it would not be y and x .
Answer:
A) y = 2 5 x
Step-by-step explanation:
If a hiker starts at sea level and increases her elevation at a rate of 1 foot per minute what will her elevation be in 20 minutes
Answer:
20 feet above sea level.
Explanation:
This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.
With this rate, after 20 minutes, the elevation can be shown as:
20 min × 1 foot= 20 feet.
Answer:
20ft
Step-by-step explanation:
Sea level is at 0 and the hiker hikes for 20 minutes at a rate of 1 foot. 20*1=20.
0+20=20
Please help! You don’t have to show work
Answer: The answer is B I hope that helps:)
Step-by-step explanation:
The dimensions of a rectangular prism are 8 yd by 8 yd by 4 yd. Find the surface area of the prism.
Answer:
The surface area of the rectangular prism is 256
Step-by-step explanation:
Answer:
256 yd2
Step-by-step explanation:
Which equation best represents the data?
The data in the table represents a company's profit based
on the number of items produced
O
Profit Based on Number of Items Produced
y = -1.026x2 + 1016.402x - 162075
y = -1.036x2 + 1024.771x - 163710
y = 298.214x - 66317.667
y = 196.2x - 18710
Answer:
Well, Your best answer will be is Y = -1.026x2 + 1016.402x - 162075. Because, When x = 100
y = -1.036x^2 + 1024.771x - 163710
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
Good Luck!
[tex]_{Itsbrazts}[/tex]
The equation best represents the data is : Y = -1.026x² + 1016.402x - 162075.
What is equation?
An equation is a mathematical expression that contains an equals symbol.
As, per the given table
Y = -1.026x² + 1016.402x - 162075.
When x = 100
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
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Simplify -3/4 ÷ 2/-8. (1 point)
Answer:
=3/1 or 3
Step-by-step explanation:
-3/4÷2/-8
=-3 × -8/4 × 2
=24/8
=24 ÷ 8/8 ÷ 8
=3/1
Which ordered pair could be part of this
function: (2,4), (3,7), (9, 1)?
A (4,1)
B (3,11)
C (2,9)
values
D (9,0)
Answer:
i dont know answer but a ordered pair is said to be a function if every element of A associates with unique element of B.
A coin weighs 3/4
ounces. Trey picked up 6 of these coins.
What is the total weight of the coins he picked up?
Write your answer in simplest form.
Answer:
4 2/4
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4
To find the total weight of the coins Trey picked up, multiply the weight of one coin by the number of coins. The total weight is 9/2 ounces or 4.5 ounces in decimal form.
Explanation:To find the total weight of the coins Trey picked up, we need to multiply the weight of one coin by the number of coins picked up. The weight of one coin is 3/4 ounces, and Trey picked up 6 of these coins. To multiply a fraction by a whole number, we multiply the numerator (top number) of the fraction by the whole number. So, the total weight of the coins Trey picked up is (3/4) * 6 = 18/4 ounces.
Next, we simplify the fraction to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD. In this case, the GCD of 18 and 4 is 2. Dividing both the numerator and denominator by 2, we get 18/4 = 9/2. So, the total weight of the coins Trey picked up is 9/2 ounces or 4.5 ounces in decimal form.
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can someone please help me with exponential models (algebra 2)? i have three word problems i really need help with. i put a picture of them. i only need 26, 28, and 30. thank you :)
I will see if i can help you since you had helped me
26. 244611.80 $
27. ?
28. 2568246.87126 $
29. 11850.59
30. 426647.047 $
I do not know about #27
But I do know about the rest
It takes 12.5 mL of a 0.30 M HCl solution to neutralize 285 mL of NaOH solution.
What is the Molarity concentration of the NaOH solution?
13.15 M NaOH
1.5 M NaOH
0.15 M NaOH
0.013 M NaOH
Answer:
0.013 M NaOH
Step-by-step explanation:
HCL + NaOH = NaCL + water
The mole ratio of acid and base is 1:1
Molarity is equal to the moles of solute divided by the liters of solution
Solute mole = 12.5 × 10^-3 × 0.3
= 0.003075
To neutralize 0.00375mol of HCl, 0.00375 mol of NaOH will be required. Since molarity is moles per liter, divide this amount of moles by the volume in liters:
Molarity = 0.00375/285 × 10^-3
Molarity = 0.0131 M
The molarity concentration of the NaOH solution is 0.013M NaOH
The equation of reaction is given as:
[tex]HCl + NaOH >>>>>> NaCl + H_2O[/tex]
Concentration of Hcl, [tex]C_{Hcl}=0.30M[/tex]
Volume of Hcl, [tex]V_{HCl}=12.5mL[/tex]
Concentration of NaOH = [tex]C_{NaOH}[/tex]
Volume of NaOH, [tex]V_NaOH = 285mL[/tex]
From the equation of reaction:
Number of moles of Hcl, [tex]n_{HCl}=1[/tex]
Number of moles of NaOH, [tex]n_{NaOH}=1[/tex]
The formula for neutralization is given as:
[tex]\frac{C_{HCl}V_{HCl}}{C_{NaOH}V_{NaOH}} = \frac{n_{HCl}}{n_{NaOH}}[/tex]
Substitute the values of the parameters
[tex]\frac{0.30(12.5)}{C_{NaOH}(285)} =\frac{1}{1} \\\\C_{NaOH}(285) = 0.30(12.5)\\\\C_{NaOH}(285) = 3.75\\\\C_{NaOH}=\frac{3.75}{285} \\\\C_{NaOH} = 0.013M[/tex]
The molarity concentration of the NaOH solution is 0.013M NaOH
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Luigi’s Pizza sells an extra‐large pizza with a 40 inch diameter. If the pie is cut into 8 equal slices,what is the area of one slice of Luigi’s pizza?
Answer:
14.1 inches squared.
Step-by-step explanation:
A = (3.141)(6)^2
A = 113.1 inches squared
Now that we know the area, we simply divide it by 8, as there are 8 EQUAL pieces, and so each piece must have an EQUAL area. This gives us:
113.1 / 8 = 14.1
Answer:
14.1
Step-by-step explanation:
The history test has 19 questions. There are
true or false questions worth 4 points each
and multiple-choice questions worth 6 points
each. How many multiple-choice questions
are on the 100 point test?
Answer:
12 multiple choice questions
Step-by-step explanation:
The system of equations is:
m + t = 19 (quantity of questions)
6m + 4t = 100 (point value)
We use elimination to solve.
Multiply everything in the first equation by 4.
4m + 4t = 76.
subtract that from the second equation.
2m = 24
Divide both sides by 2.
m = 12
Answer:
Step-by-step explanation:
Let x be the number of true or false questions.
Let y be the number of multiple choice questions
Total questions = 19
x + y = 19 ---------------(i)
Total points = 100
4x + 6y = 100 ---------------(ii)
Multiply equation (i) by (-4).
(i)*(-4) -4x - 4y = -76
(ii) 4x + 6y = 100 {Now add. thus x will get eliminated}
2y = 24
y = 24/2
y= 12
There were 12 multiple choice question
A restaurant charges $3 for a soda and it includes free unlimited
refills. If this situation were represented as a function, what would be
the slope?
1)O
2)3
3)5
4)7
In this situation, where the price of the soda remains constant regardless of the number of refills, the slope of the function representing this scenario is 0.
Explanation:In mathematics, the slope of a function can be thought of as the rate of change of the dependent variable (in this case, cost) in relation to the independent variable (in this case, number of refills). Given that the price for the soda remains constant at $3 regardless of the number of refills, the slope would be 0. This is because the cost (the y-value) does not change as the number of sodas (the x-value) increases. Thus, the correct answer is 1) 0.
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The opening of a garden hose is 3 centimeters wide. What is the circumference of the the opening to the nearest tenth centimeter?
a. 7.1 cm
b. 9.4 cm
c. 18.8 cm
d. 28.3 cm
Answer:
B. 9.4 cm
Step-by-step explanation:
The formula for circumference is 2(pi)r; so 2(3.14)1.5=9.42
pls help will give brainliest and pls give explanation
Answer:
-4, 2, 8, 14, 20
Step-by-step explanation:
The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.
In position 1, the term is ...
1×6 -10 = -4
In position 2, the term is ...
2×6 -10 = 2
In position 3, the term is ...
3×6 -10 = 8
In position 4, the term is ...
4×6 -10 = 14
In position 5, the term is ...
5×6 -10 = 20
The first 5 terms are -4, 2, 8, 14, 20.
What are the coordinates of the first alien who needs to be rescued?
What is the slope of the line that provides the correct path to rescue the alien?
Answer:
1,4 and 4
Step-by-step explanation:
Answer:
1 4 4
Step-by-step explanation:
Can someone help me please ☝️
Answer:
27
Step-by-step explanation:
Those angles are co interior, and thus add up to 180°. So therefore:
(x+72) + 3x = 180
simplified:
4x+72 = 180
so 180 - 72 = 108
4x = 108
x = 27
Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth. a. 13; 175; 20,933 c. 13; 173; 19,933 b. 13; 173; 29,967 d. 13; 173; 29,933
Answer:
D
Step-by-step explanation:
just did it on edge
What number would you add to both sides of 2 + 7x = 4 to complete the square?
2^2
7^2
7/2^2
{7/2)2
Answer:
{7/2)2
Step-by-step explanation:
If an original quantity is 12, and the new quantity is 15, what is the percent increase?
Answer:
20% increase
Step-by-step explanation:
1- New number-original number
2- number increased divided by new number then multiply by 100
15-12= 3
3 divided by 15= 0.2
0.2 times 100= 20%
If an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.
Given that, an original quantity is 12, and the new quantity is 15.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Percentage increase = (New quantity - Original quantity)/Original quantity ×100
= (15-12)/12 ×100
= 3/12 ×100
= 0.25×100
= 25%
Therefore, if an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.
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Solve for X ; 9x – 4 – 6x = 2(x + 1) – 5
Answer:
x = 1
Step-by-step explanation:
Anthony surveys a group of students at his school about whether they play a sport...
Answer:
Yes they are independent, because P(girl) ≈ 0.42 and P(girl l plays a sport) ≈ 0.42
Step-by-step explanation:
A.P.E.X
Yes, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4
What is mean by Probability?The term probability refers to the likelihood of an event occurring. It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Given that;
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Here, Formula for probability of independent events:
"If A and B are independent events then, P(A∩B) = P(A).P(B)"
And, Formula of the probability of an event A is:
⇒ P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
Now, Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 .....(1)
And, we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport) = Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ...(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, Being a girl and playing a sport are Independent events.
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The complete question is this,
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and P girl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58