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Zina [86]
3 years ago
10

This is hard I need help

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

  • 140.22 ft²

Step-by-step explanation:

Surface area is the sum of areas of 4 triangles.

<u>Each triangle has:</u>

  • b = 9 ft, h = 7.79 ft

<u>Area of each triangle:</u>

  • A = 1/2bh
  • A = 1/2*9*7.79 = 35.055 ft²

<u>Surface area:</u>

  • S = 4*35.055 = 140.22 ft²
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Twenty less than 8 times a number is the same as 15 more than the number.
Nezavi [6.7K]
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8x-20=15+x (subtract x)
7x-20=15 (then add 20)
7x=35 (then divide by 7)

I think you've got it from now, if not, just do 35 divided by 7. But go over the steps, so that you know how to do these types of questions.






7 0
2 years ago
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Plz answer only if u know ur correct. tyvm. will give brainliest to best answer
N76 [4]

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
Why is it important that the weight is shown on a food label?​
Drupady [299]

There are many answers o this question

just think,

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