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VARVARA [1.3K]
4 years ago
8

Please answer correctly

Mathematics
1 answer:
Aleksandr [31]4 years ago
6 0

Answer:

For f(x - 3.5) the answer is that f(x) is translated 3.5 units right

You can figure that out by thinking that for x = 3.5 (which is 3.5 units to the right of x = 0, f(3.5 - 3.5) is the same that f(0), ... for x = 10.5 (which is 3.5 units to the right of x = 7, f(10.5 - 3.5) = f(7) ... and so for every value of x.

For 3.5 f(x) the answer is that f(x) is vertically stretched by a factor of 3.5 which you figure out from a table like this:

f(x)          3.5 f(x)

0               0

1               3.5

2                7

10             35

And from that you can see the 3.5 f(x) is horizontally compressed and vertically stretched respect to f(x).

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Application 11. Dasha took out a loan of $500 in oeder to buy the # 1 selling book in the world, "Math, What is it Good For?" by
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Answer:

\boxed{\text{\$581.25; \$81.25}}

Step-by-step explanation:

The formula for the total accrued amount is

A = P(1 + rt)

Data:

P = $500

r = 6.5 % = 0.065

t = 30 mo

Calculations:

(a) Convert months to years

t = 30 mo × (1 yr/12 mo) = 2.5 yr

(b) Calculate the accrued amount

A = 500(1 + 0.065 × 2.5)

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  = 500 × 1.1625

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\text{Dasha will have to pay back }\boxed{\textbf{\$581.25}}

(c) Calculate the accumulated interest

\begin{array}{rcl}A & = & P + I\\581.25 & = & 500 + I\\I & = & 81.25\\\end{array}\\\text{The accumulated interest is }\boxed{\textbf{\$81.25}}

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