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anzhelika [568]
4 years ago
7

Someone help me with this question!!

Mathematics
1 answer:
Zinaida [17]4 years ago
3 0

Answer:

k  = 6.5

Step-by-step explanation:

y = 2x + c is given.  Thus, we know immediately that the slope of this line is m = 2.  If (k, 10) is a point on this line, then the following must be true:

10 = 2(k) + c, and

-3  + 2(0) + c

or

10 = 2k + c

c = -3

Thus, 10 = 2k + -3  becomes   13 = 2k, so that k  = 6.5

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Using an exponential function, it is found that it's approximate value six years from now will be of $367,679.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem:

  • Josh Collins plans to buy a house for $245,000, hence A(0) = 245000.
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Then:

A(t) = A(0)(1 + r)^t

A(t) = 245000(1 + 0.07)^t

A(t) = 245000(1.07)^t

In six years, we have that t = 6, hence, the value will be of:

A(6) = 245000(1.07)^6 = 367679

You can learn more about exponential functions at brainly.com/question/25537936

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