keeping in mind that two years is 24 months, and we know that cyclically it's losing 25% every 6 months.
[tex]\bf \textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=\textit{elapsed time}\dotfill &24\\ c=period\dotfill &6 \end{cases} \\\\\\ A=50(1 - 0.25)^{\frac{24}{6}}\implies A=50(0.75)^4\implies A\approx 15.82[/tex]
please please help me asap!
Answer:
-25
Step-by-step explanation:
You use the PEMDAS order of operations to find this out
So first you do exponents
-1^3 is positive
so you then rewrite the equation as 3*4(-2)-1
Then you multiply and divide
12(-2)
That equals -24
Then you add the remaining
-24+-1= -25
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
We know that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”
According to this rule, “multiply by the reciprocal”, we need to take the reciprocal of the divisor (denominator) and multiply with the dividend in its original form.
Looking at the calculations made by Urvi, we can see that she took the reciprocal of the dividend and not the divisor.
Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answer: it d
Step-by-step explanation:
Because the the the answer is the letter D
the size of an iPod would be what aspect of the product
A. quality
B. benefit
C. feature
D. asset
Answer:
C: feature
that is the correct answer
Number 10 I don’t know how to do
Yes he is correct
Step-by-step explanation:Given a triangle ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side. In the words of Euclid: In any triangle two sides taken together in any manner are greater than the remaining one.
If we add the two sides 12 and 18 we get 30 so the third side must be greater than 30. He said greater than 6 so he is right too
Mike started saving money by putting 50 dollars aside. Each month, he adds more money than the month before. At the end of 36 months, he has saved 4950. How much more does he add each month?
Answer:
He add $5 more each month
Step-by-step explanation:
* Lets consider this problem as an arithmetic sequence because
he add every month x dollars more
∵ He start with 50 dollars ⇒ a (1st amount)
∵ He add x dollars every month ⇒ d
∵ He did that for 36 months ⇒ n
∵ He saved 4950 dollars ⇒ Sn
∵ Sn = n/2[2a + (n - 1)d]
* Where Sn is the total money after n months
a is the first amount he saved
d is the money he add more each month
∴ 4950 = 36/2[2(50) + (36 - 1)(x)]
∴ 4950 = 18[100 + 35x]
∴ 4950/18 = 100 + 35x
∴ 35x = 275 - 100 = 175
∴ x = 175/35 = 5 dollars
Answer:
Mike added $5 more each month.
Step-by-step explanation:
We are given that Mike started saving money by putting $50 aside. Each month, he adds more money than the previous month and so by the end of 36 months, he saved $4950.
Assuming this to be an arithmetic sequence:
[tex]S_n = \frac{n}{2} (2a+(n-1)d)[/tex]
where [tex]S_n=4950[/tex], [tex]n=36[/tex], [tex]a=50[/tex] and [tex]d= x[/tex].
Substituting the given values in the above formula to find how much more money does he add each month.
[tex]4950 = \frac{36}{2} (2 \times 50+(36-1)d)[/tex]
[tex]4950=1800+630x[/tex]
[tex]x=\frac{3150}{630}[/tex]
[tex]x=5[/tex]
Therefore, Mike added $5 more each month.
What function can be used to model data pairs that have common ratio
Answer:
Step-by-step explanation:
y = mx, or y = kx, where m or k is the common ratio, or slope, or constant of proportionality.
The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle
Answer:
[tex]\large\boxed{P=60.56\ m}[/tex]
Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l - length
w - width
We have
[tex]A=229.2\ m^2\\\l=15\ m[/tex]
Substitute:
[tex]15w=229.2[/tex] divide both sides by 15
[tex]w=15.28\ m[/tex]
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
Substitute:
[tex]P=2(15+15.28)=2(30.28)=60.56\ m[/tex]
A basketball team will play 12 home games during the season. it has played 6 home games so far. of the season's remaining games,1/3 will be played at home. The equation 1/3g+6=12 can be used to find the the total number of games,g,remaining this season. How many games,g,remain in the season
Answer:
18
Step-by-step explanation:
⅓g + 6 = 12
⅓g = 6 Subtracted 6 from each side
g = 18 Multiplied each side by 3
18 games remain in the season.
Check:
⅓ × 18 + 6 = 12
6 + 6 = 12
12 = 12
Type the correct answer in the box
Answer:
5
2
2
Step-by-step explanation:
Given in the question the polynomial
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
1)has total of 5 zeroes
Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.
2)
maximum of 2 positive real roots
Using Descartes' Rule of Signs
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
------------ -----------
1 2
There are 2 sign changes in the positive-root case. This number 2 is the maximum possible number of positive zeroes.
3)maximum of 2 negative real roots
Using Descartes' Rule of Signs
When f (–x), we have
- x^5 - 9x^4 - 13x³ + 57x² + 86x - 120
--------- ----------
1 2
number of sign changes = 2
PLEASE HELP WILL GIVE POINTS PLEASE HELP AND WILL MARK BRAINLIEST(IF CORRECT)
Answer:
the second one
Step-by-step explanation:
Find the solution of the inequality
−4x+2≤−10
Question 3 options:
x≤2
x≥2
x≤3
x≥3
Answer:
option D
x≥3
Step-by-step explanation:
Given in the question an inequality
−4x + 2 ≤ −10
rearrange x terms to the left and constant to the right
-4x ≤ −10 - 2
-4x ≤ -12
cancel - on both sides, due to sign change inequality will also be change
4x ≥ 12
x ≥ 12/4
x ≥ 3
So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.
Answer:
x ≥ 3
Step-by-step explanation:
We have given a inequality.
−4x+2 ≤ −10
We have to find the solution of given inequality.
Adding -2 to both sides of given inequality, we have
-4x+2-2 ≤ -10-2
-4x ≤ -12
Cancelling negative sign from both sides of above inequality , we have
4x ≥ 12
Dividing by 4 to both sides of above equations, we have
x ≥ 3 which is the solution of inequality.
simplify expression
Answer:
-2
Step-by-step explanation:
8-(-2) = 8 + 2 = 10
7 - 12 = -5
10 / -5 = -2
What’s the answer [x+2]=4
X + 2 = 4
= X = 4 - 2= 2
X=2
Happy to help! Marking my answer as the Brainliest would really be aprreciated.
A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled. What is the surface area of the enlarged prism?
Answer:
376 square centimeters
Step-by-step explanation:
When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.
The surface area of a rectangular prism is given by : [tex]2(lw+wh+lh)[/tex]
Where l is length, w is width, and h is height
Plugging in the new values we get:
[tex]2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376[/tex]
The surface area of the enlarged prism = 376 cm^2
Answer: 376 cm²
Step-by-step explanation:
If the dimensions are doubled then:
length=10cm
width=8cm
height=6cm
You must apply the formula for calculate the surface area of a rectangular prism, whih is shown below:
[tex]SA=2(wl+lh+hw)[/tex]
Where l is the length, w is the width and h is the height.
WHen you substitute values, you obtain the following result:
[tex]SA=2[(8cm*10cm)+(10cm)(6cm)+(6cm)(8cm)][/tex]
[tex]SA=376cm^2[/tex]
A person operating a machine can mow 0.75 acres in ½ hour. What is the rate, in acres per hour, that the person can mow? Write your answer as a decimal.
1.50 acres is the answer.
Final answer:
The mowing rate is 1.5 acres per hour
Explanation:
To find the rate at which a person can mow in acres per hour, we need to use the data provided that a person can mow 0.75 acres in ½ hour. To convert this to a rate in acres per hour, we divide the acres mowed by the hours it took to mow them:
To find the rate at which the person can mow, we need to divide the number of acres mowed by the time taken. In this case, the person can mow 0.75 acres in 1/2 hour.
So, the rate at which the person can mow is 1.5 acres per hour
Rate (in acres per hour) = Acres mowed / Hours taken = 0.75 acres / 0.5 hours = 1.5 acres per hour
Thus, the person can mow at a rate of 1.5 acres per hour.
9340.00 is invested into an account that earns 8 1/2% simple interest for 15 years. What is the interest earned and what is the total in the account?
The amount of interest earned is $11908 and the total amount is $21248.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that 9340.00 is invested into an account that earns 8.5% simple interest for 15 years.
The simple interest will be calculated by the formula below,
Simple interest = ( P x R x T ) / 100
Simple interest = ( 9340 x 8.5 x 15 ) / 100
Simple interest = $11908.5
The total amount will be,
Amount = $11908.5 + $9340
Amount = $21248.5
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The simple interest earned on an investment of $9340.00 at a rate of 8.5% over 15 years is $11919.00. The total amount in the account after 15 years is $21259.00.
To calculate the simple interest earned on an investment, you can use the formula I = P × r × t, where I is the interest, P is the principal amount, r is the interest rate (in decimal form), and t is the time in years . In this case:
r (Interest Rate) = 8.5% or 0.085 (since 8 1/2% is the same as 8.5%)
t (Time) = 15 years
Using the formula:
I = $9340.00 × 0.085 × 15 = $11919.00
The total simple interest earned over 15 years would be $11919.00. To find the total amount in the account after 15 years, we add this interest to the original principal:
Total = Principal Amount + Interest
Total = $9340.00 + $11919.00 = $21259.00
Therefore, the total in the account after 15 years will be $21259.00.
Given the function f(x)= -5x²-x+20, find f(3).
Answer: -28
Step-by-step explanation:
f(3) = -5 x (3)^2 - 3 + 20
= -45-3+20
= -28
Hope this helps!
Answer:
-28
Step-by-step explanation:
The line plot shows the length (in feet) of the girls hair in Mr. Wood’s Class. What is the difference in length between the girls with the shortest and longest hair? Please show work, thank you!
Answer:
1
Step-by-step explanation:
Because if the longest amount is 2 feet and the shortest is 1 feet 2 minus 1 equals 1.
Find the value of x, rounded to the nearest tenth.
Answer options: 3.8, 4, 2.7, 2.9
Answer:
4
Step-by-step explanation:
If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.
Thus from the figure,
we can deduce that:
8×3=6×x
collecting the like terms together we get:
24=6x
x=4
Answer:
x =4
Step-by-step explanation:
Refer the attached figure:
We will use Intersecting secants theorem
Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. [tex]a\times b = c \times d[/tex](refer the attached figure)
So, using this theorem
[tex]x \times 6 = 3 \times 8[/tex]
[tex]x = \frac{24}{6}[/tex]
[tex]x = 4[/tex]
Hence the value of x is 4.
which is the best buy
Answer:
C, 4 kilogram bags.
Step-by-step explanation:
All you have to do for this is divide the price by the kilograms. I did this for every one and the lowest cost per kilogram was C, $4.60.
Mark brainliest if you can plz!
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation.
Point: (−1,−2)(−1,−2)
Equation: 3x−y=53x−y=5
Parallel Equation: y=
Answer:
y = -3x -5
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\[/tex]
You can convert the equation to slope intercept form by using the distributive property.
y + 2 = -3(x+1)
y + 2 = -3x - 3
y = -3x - 5
four less than the quotient of a number x and 4.
Answer:
(x/4) -4
Step-by-step explanation:
quotient means divide
quotient of a number x and 4.
x/4
four less than
x/4 -4
Answer:
This can be written as x/4 - 4
Step-by-step explanation:
To find this, note that quotient denotes a division problem. Then we subtract 4, since it starts with four less than,
A picture on the wall in Jeremy’s classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel.What quadrilateral best describes the picture?
The answer is: A square.
Why?The quadrilateral is a square since:
- It has four right angles, squares have four right angles (90°), giving a total of 360° if you sum all of them.
- It has four equal sides, squares have four sides of equal length.
- It has two pairs of opposite sides that are parallel, if we look for a side of a square, we will find an opposite side which is parallel, so, squares have two pairs of opposite sides that are parallel.
Have a nice day!
Which of the following statements is false?
C. Surface area and volume use the same unit of measurement
Answer:
The answer is C.
Step-by-step explanation:
No idea for the Step-by-Step explanation
HELP BRAINLIEST!
Which of the following is a statistical question?
A.
How many students attend Natasha's school?
B.
How many players are on Greg's football team?
C.
What are the checking account balances of the shoppers in a grocery store?
D.
What volume of milk is used to make cupcakes according to Paula's cookbook?
Answer:
The answer is C for sure
Step-by-step explanation:
I would say the answer is C. What are the checking account balances of the shoppers in a grocery store?
Hope this helps!
can someone help me with this? graph the quadratic function label the vertex axis of symmetry and x intercepts. Describe the Domain and range of the function.
Answer:
x-12(+4)
Step-by-step explanation:
7x+4x=11x+1x=12x +4.
Is -3 an irrational or rational number
Answer:
Rational number
Step-by-step explanation:
A rational number is one which can be expressed in the form
[tex]\frac{a}{b}[/tex] where a and b are integers
- 3 can be expressed as [tex]\frac{-3}{1}[/tex] -3 and 1 are integers
Hence - 3 is a rational number
What is 2x-5=7 PLZ HELP ME!!!
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷2x-5=7
First, we need to add 5 on both sides, so the -5 cancels out.
2x=12
Next, we divide 2 on both sides to isolate x.
x=6
Final answer:
x=6
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
The Answer is 6 Or x = 6
Step-by-step explanation:
Solve for x for the equation 2x-5=7
1) Add 5 on both side
2x =12
2) divide 2 on both side
12/2=6
x=6
Hopes this help!
There are 1,760 yards in a mile. How many full laps would Danny have to run around the block to run a mile?
2 my brotha boi only 5,560 or so feet and more than that so its certainly 2 laps.
Danny have to run 7 laps to cover 1760 yards.
What is Perimeter?The perimeter of a shape is the distance around its edge.
A rectangle's perimeter is the total distance covered by its boundaries or sides. Because a rectangle has four sides, the perimeter of the rectangle is the total of the four sides.
The yard is 80 feet yards and 60 yards long.
So, the perimeter of block
= 2(80+ 66)
= 2 x 146
= 292 yards
So, to cover 1760 yards the number of laps to run is
= 1760 / 292
= 6.027
= 7 laps
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plzzzzz help worth 15 points
Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)
Answer:
[tex]\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}[/tex]
Step-by-step explanation:
"one over threep + 15":
[tex]\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}[/tex]