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Zolol [24]
3 years ago
15

There exists a linear function f(x) such that f(6) = 8, f(2)=20, and f(a) = 16. What is the value of 2a?

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

a = 10/3.

Step-by-step explanation:

We write the linear function as follows:

f(x) = mx + b   where m is the slope and b is the y-intercept.

f(6) = 6m + b = 8

f(2) = 2m + b = 20    Subtracting these 2 equations:

4m = -12

m = -3.

and  -3 * 2 + b = 20 so:

b =   20 + 6 = 26.

So we have the linear function:

f(x) = -3 x + 26

f(a) = 16 = -3 a + 26

-3 a = 16-26

a = -10 * -3 =  10/3.

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A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6.
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Based on the markdowns and the number of each of the plants purchased, the amount saved is <u>$9.06</u>

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

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The savings here are therefore:

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= $4.20

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8 0
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3 years ago
You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
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Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

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Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

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EFF = (1 + r /n)^n - 1

r is the rate and n is the number of period per year which is 12months

%EFF = EAR = (1 + 0.06 /12)^ 12 - 1

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6 0
3 years ago
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