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Stells [14]
2 years ago
8

A deposit of $2,000 is made in a trust fund that pays 5.5% interest, compounded continuously. It is specified that the balance w

ill be given to the college from which the donor graduated after the money has earned interest for 30 years. How much will the college receive? (Round your answer to the nearest cent.)
Mathematics
1 answer:
nasty-shy [4]2 years ago
7 0
The formula for compounded continuously is A = pe^rt.

What is given?

(A)mount = ?
(P)rincipal = $2000
e = 2.7183 (always)
(r)ate = .05 (turn into decimal)
(t)imd = 20 years

Plug into formula:
A = 2000*2.7183^(.05*20)
A = $5436.60
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What is the area of a sector that has a radius of 25 mm and has an angle measure of 50°?
Nimfa-mama [501]

The area of the sector is 86.81π mm²

<u>Explanation:</u>

Given:

Radius of the sector, 25mm

Angle, α = 50°

Area of the sector, A = ?

We know:

Area of the sector = \frac{\alpha }{360} X \pi r^2

On substituting the value, we get:

A = \frac{50}{360} X \pi X (25)^2\\\\A = 86.81 \pi mm^2

Therefore, the area of the sector is 86.81π mm²

3 0
3 years ago
Marcy wants to paint the sides of the wooden storage chest shown below gray except the white lid. What is the surface area?
arlik [135]

Answer:

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Step-by-step explanation:

Given:

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Width of box = 30 in

Height of box = 24 in

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Computation:

Surface area = 2h[l+b]

Surface area = 2(24)[30 + 15]

Surface area = 48 x 45

Surface area = 2,160 in²

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2 years ago
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sergejj [24]
Answer is A
Because 43-4=39
39/13=3
6 0
3 years ago
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Vera_Pavlovna [14]
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