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marin [14]
3 years ago
11

Julie deposited $500 into an account that earned 10% compound interest over 5 years. What is the account value earned after 5 ye

ars?
Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

$821

Step-by-step explanation:

A = p (1 + r/n)^nt

Where,

A = future value

P = principal = $500

r = interest rate = 10% = 0.1

n = number of periods = 12

t = time = 5 years

A = p (1 + r/n)^nt

= 500 (1 + 0.1/12)^12*5

= 500 (1 + 0.0083)^60

= 500 (1.0083)^60

= 500 (1.6420)

= 821

A = $821

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Question 1
12345 [234]

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

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Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

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B). Surface area of the prism if it's height is 10 cm,

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Volume of the prism = 8×5×10 - 2×2×10

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C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = \frac{150}{222}\times 100 = 67.57%

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% increase in volume = \frac{180}{180}\times 100 = 100%

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2 years ago
You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
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Step-by-step explanation:

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Required

The largest area

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L + W  = 50

Make  L the subject

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Answer:

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Step-by-step explanation:

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