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aleksklad [387]
3 years ago
11

Given f(x) and g(x) = k·f(x), use the graph to determine the value of k

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

k=-5

Step-by-step explanation:

If we observe the graph carefully there are two on each of the graphs highlighted at x=-2.The functions take the following values at that x.

f(-2)=2

g(-2)=-10

given the condition

g(x)=k*f(x)

put x=-2

we get . -10=k*2

k=-5

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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
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You did not provide us with equations to select.

Find the slope m.

m = (1 - 2)/(3 - (-1))

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y - 1 = (-1/4)(x - 3)

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y - 1 = (-1/4)x + (3/4)

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The length of a pool is 3 feet more than twice its width. If the perimeter of the pool is 72 feet, find the dimensions of the po
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1.
olchik [2.2K]
To solve this we are going to use the future value of annuity ordinary formula: FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
k is the number of payments per year
t is the number of years

We know for our problem that P=6200 and t=5. To convert the interest rate to decimal form, we are going to divide the rate by 100%:
r= \frac{6}{100} =0.06
Since the deposit is made semiannually, it is made 2 times per year, so k=2.
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so n=2.
Lets replace the values in our formula:

FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]
FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ]
FV=71076.06

We can conclude that the correct answer is <span>$71,076.06</span>
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