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Nesterboy [21]
4 years ago
10

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if

a principal amount of $6,000 is deposited in an account at an annual interest rate of 6​% and the interest is compounded quarterly.
Mathematics
1 answer:
nadezda [96]4 years ago
5 0

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

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

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577

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t is the number of hours Lamar worked as a tutor 
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So his earnings are: 7t + 8(92-t) = 736 -t dollars

This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644 
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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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4 years ago
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Simplify this equation please.
Sauron [17]
\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}

Identity:

\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta

So we can rewrite the denominator to get

\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}

Multiply numerator and denominator by \sin^2\theta. Several terms will cancel since \sin\theta\csc\theta=1. Also, \cot\theta=\dfrac{\cos\theta}{\sin\theta}. We get

\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}

Factorize the numerator, and write \cos in terms of \sin in the denominator to factorize it further to get

\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}


The 1-\sin\theta factors cancel, leaving you with

\dfrac{1-2\sin\theta}{1+\sin\theta}

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4 years ago
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3 years ago
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slava [35]

Answer:

D. y=2x-2

Step-by-step explanation:

The format for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept of the line.

The slope of this line is 2

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