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3 years ago

You obtain a simple interest loan from National City for $2,500 at 7.5% for 5 years. Find the amount of interest on the loan

Mathematics

1 answer:

natita [175]3 years ago

5 0

Answer:

$937.50

Step-by-step explanation:

interest (I) is calculated as

I = PRT

where P is the principal ( amount borrowed ), R is the rate of interest and T is the time in years

here P = $2500, R = 7.5 and T = 5

I = $2500 × $\frac{7.5}{100}$ × 5 = 25 × 7.5 × 5 = $937.50

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Step-by-step explanation:

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3 years ago

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3 years ago

Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and

Ray Of Light [21]

Answer:

A. $g'(3)=-\frac{1}{2}$

Step-by-step explanation:

We have been given that f be a differentiable function such that $f(3)=15$ , $f(6)=3$ , $f'(3)= -8$ , and $f'(6)= -2$ . The function g is differentiable and $g(x)= f^{-1} (x)$ for all x.

We know that when one function is inverse of other function, so:

$g(f(x))=x$

Upon taking derivative of both sides of our equation, we will get:

$g'(f(x))*f'(x) =1$

$g'(f(x))=\frac{1}{f'(x)}$

Plugging $x=6$ into our equation, we will get:

$g'(f(6))=\frac{1}{f'(6)}$

Since $g(x)= f^{-1} (x)$ , then $g'(f(6))=g'(3)$ .

$g'(3)=\frac{1}{f'(6)}$

Since we have been given that $f'(6)= -2$ , so we will get:

$g'(3)=\frac{1}{-2}$

$g'(3)=-\frac{1}{2}$

Therefore, $g'(3)=-\frac{1}{2}$ and option A is the correct choice.

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3 years ago

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3 years ago

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