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qwelly [4]
3 years ago
5

Devon studied the composite figure.

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0
If we look at his calculations
2((9)(20) is the front an back rectangle
2((9)(34)) is the side rectangles
(34)(20) is the bottom
2(1/2(20(24)) is te front and top triangles
and the last one assumes that they are triangles which is incorrect

answer is D
Luden [163]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod
lorasvet [3.4K]

Answer:

a. y=830*(0.87)^x

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

13\%=\frac{13}{100}=0.13

Upon substituting our given values in exponential decay function we will get

y=830*(1-0.13)^x

y=830*(0.87)^x

Therefore, the exponential model y=830*(0.87)^x represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

y=830*(0.87)^2

y=830*0.7569

y=628.227\approx 628.23

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be \frac{830}{2}=415.

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

415=830*(0.87)^x

Upon dividing both sides of our equation by 830 we will get,

\frac{415}{830}=\frac{830*(0.87)^x}{830}

0.5=0.87^x

Let us take natural log of both sides of our equation.

ln(0.5)=ln(0.87^x)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.5)=x*ln(0.87)

\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}

\frac{ln(0.5)}{ln(0.87)}=x

\frac{-0.6931471805599}{-0.139262067}=x

x=4.977286\approx 4.98

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
timurjin [86]

Answer:

f=22 degrees, g=89 degrees

step by step explaination:

When two lines are parallel to one another, and a line is drawn between them, any angle labeled will be equal to the angle on the opposite side of the middle line. This would make f=h, g=d, and even the angle 69 equal to angle e.

5 0
3 years ago
What would the radius of a circle be with a diameter of 24?
Montano1993 [528]

Answer:

r = 12

Step-by-step explanation:

using the formula

d = 2 r

solving for r

r = d/2= 24/2=12

8 0
3 years ago
Read 2 more answers
Whats the radius if a basketball?
Dennis_Churaev [7]
A men's ball is about 9.55 inches<span> (</span>24.26 cm<span>) in diameter and a women's ball is </span>about 9.23 inches<span> (</span>23.44 cm<span>) in diameter.</span>
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Please help me with this u don’t have a clue.
maksim [4K]

Answer:

Im so sorry i cant help

Step-by-step explanation:

8 0
3 years ago
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