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Sever21 [200]
3 years ago
9

Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou

nded continuously?
$14,576.95
$29,215.37
$30,248.35
$43,791.58

Which one is it and how did you get it?
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

\$30,248.35  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Amount due  

P is the amount of money borrowed

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=7\ years\\ P=\$8,000\\ r=19\%=19/100=0.19  

substitute in the formula above  

A=8,000(e)^{0.19*7}  

A=8,000(e)^{1.33}  

A=\$30,248.35  

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All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
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From the question, we have the following observations:

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So, the cost function would be:

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Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

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To calculate the inverse function, we have:

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Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

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Read more about functions and inverse at:

brainly.com/question/10300045

3 0
3 years ago
9d - 5 = 4d + 35<br> find what d equals.
Debora [2.8K]
9d - 5 = 4d + 35

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5d = 40

5d/5 = 40/5

d = 8

hope this helps
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5 0
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3(6x+3) - (8-x) simplify
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<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>

<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8  = 18 + 9 - 8 </em>

4. Combine like terms: 18 + 9 - 8 = 10 + 9

<em>⋅</em>

<em />

                                         

4 0
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