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STALIN [3.7K]
3 years ago
8

Betty deposits ​$300 into an account that earns 5​% interest compounded annually. Teresa deposits the same amount into an accoun

t that earns 5​% simple interest. Compare the account balances after 2 years.
Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Considering Betty's account

Initial amount deposited into the account is $300 This means that the principal is

P = 300

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

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

A = total amount in the account at the end of t years. Therefore

A = 300 (1+0.05/1)^1×2

A = 300(1.05)^2 = $330.75

Considering Theresa's account,

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

P = 300

R = 5%

T = 2

I = (300 × 5 × 2)/100 = 30

Total amount in Theresa's account after 2 years will be 30 + 300 = $330

Betty would earn more than Theresa. She will earn 330.75 - 330 = $0.75 more than Theresa.

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The equation of the central street PQ is  -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

-7x+3y=-21.5  

Convert it to the general form given below:

\rm y=mx+c

\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x or

\rm y = \frac{7}{3}x-\frac{21.5}{3}

m = \frac{7}{3}   (Slope of AB line)

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\rm m'=-\frac{1}{m}    ( because AB and PQ are perpendicular to each other)

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Where (x', y') = (7, 6), we get:

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\rm -1.5x-3.5y=-31.5   (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is  -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

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2 years ago
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