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ella [17]
3 years ago
10

What is the surface area of the following prism?

Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

102cm²

Step-by-step explanation:

Surface Area = BH +Lp

B is the base area

H is the height of the Prism

L is the slant height

p is t perimeter of its base

B =1/2 ×3×4

B= 6cm²

H = 7cm

L = 5cm

P = 3cm+4cm+5cm

P = 12cm

Substitute

TSA = 6(7)+5(12)

TSA = 42+60

TSA = 102cm²

Hence the total surface area of the shape is 102cm²

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Step-by-step explanation:

Multiply 4 by 14 to get your answer.

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3 years ago
Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou
storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?  

We have the following compound interest formula

P' = P*(1+\dfrac{r}{n})^{nt}

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P' = 35000*(1.22019003995...)

P' \approx 42,706.66

So the new principal P' after 5 years is approximately $42,706.66.  

Subtracting the original principal from this amount gives the amount of interest received:

P' - P = I

42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark

________________________

I Hope this helps, greetings ... Dexteright02! =)

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3 years ago
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