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Arisa [49]
3 years ago
6

The value of a home theater system depreciates by about 7% each year. Aeryn purchases s home theater system for 3000. What is it

s value after 4 years? Round your answer to the nearest hundred
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0
<h3>The value after 4 years is $ 2244.16</h3>

<em><u>Solution:</u></em>

<em><u>The decreasing function is given as:</u></em>

y = a(1-r)^t

Where,

y is final value

a is initial value

r is decreasing rate in decimal

t is number of years

From given,

a = 3000

t = 4 years

r = 7 \% = \frac{7}{100} = 0.07

<em><u>Substituting the values we get,</u></em>

y = 3000(1-0.07)^4\\\\y = 3000 \times 0.93^4\\\\y = 3000 \times 0.74805201\\\\y = 2244.15603\\\\y \approx 2244.16

Thus the value after 4 years is $ 2244.16

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iris [78.8K]

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 2^2) / 4

A = (pi x 4) / 4

A = 4pi / 4

A = 1pi = 3.14 square miles

Hope this helps! :)

7 0
3 years ago
Can someone please help me with 10-16 it’s due tomorrow!!! Please
VMariaS [17]
10) V=πr² *h= π*10²*12≈3770
11) V=A(base)*h= (3√3/2)*(9²)*10=2104
A(base)=(P*a)/2=(6*9*3√3)/2=9*9*3√3/2

12)V=πr² *h=π*18² *6≈6107
13)V=4*3*12=144
14) h(triangle)=√(5²-3²)=√16=4
A(base)=(3*4)/2=6
V=A(base)* height (prism)=6*2=12
15)  V=A(base)*h= (3√3/2)*(6²)*11= 1029
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7 0
3 years ago
Estimate the difference 68,283−47,849 by rounding each number to the nearest ten thousand.
kap26 [50]

Answer:

70,000-50,000=20,000

Step-by-step explanation:

5 0
3 years ago
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36x+72xy+27xy factor the expression.
nexus9112 [7]

Answer:

9x(4+8y+3y)

Step-by-step explanation:

36x+72xy+27xy

9x(4+8y+3y)

4 0
3 years ago
I need help <br> Please help ASAP
soldi70 [24.7K]

Answer:

The volume of the solid is  1,021m^3

Step-by-step explanation:

1. Cylinder

For find the volume of a cylinder we use the next formula:

V_{cylinder} = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3

Then the volume of the cylinder is equal to 706.86m^3

2. Cones

For find the volume of a cone we use the next formula:

V_{cone} = \pi \frac{h}{3} r^2 = \pi \cdot \frac{6m}{3} \cdot (5m)^2 \approx 157.08m^3

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is 314.16m^3

3. Sum of the volumes

Finally we sum the volumes of the cylinder and the cones for get the final result

V_{cylinder} + V_{cones} = 706.86m^3 + 314.16m^3 \approx 1021m^3

So approximating the result is 1021m^3

5 0
2 years ago
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