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Ludmilka [50]
3 years ago
13

Without graphing predict weather the function y= (1/2)x shows exponential growth or decay. Justify your predictions

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

y=ab^{x}

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

y=(\frac{1}{2})^{x}

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

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Step-by-step explanation: hope this helps :)

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Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the
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The balance in Yolanda's saving plan after 14 years is; $9,455.36

<h3>How to calculate future value?</h3>

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

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i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

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For Zach:

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From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

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3 0
2 years ago
If 5x-7=13x+17, what is 6(x-4)?<br> Plz help asap<br> Thanks
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Find x
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6(x-4) is -42
8 0
2 years ago
3
yuradex [85]

9514 1404 393

Answer:

  B)  y = (x -7)(4x +3)

Step-by-step explanation:

For zeros p and q, factors of the function are (x -p) and (x -q).

For the given zeros, the factors are (x -7) and (x -(-3/4)). By multiplying the latter by 4, we can eliminate the fraction.

  y = (x -7)(4x +3)

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2 years ago
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Setler79 [48]
I can't sketch it but the answer is 18
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