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adoni [48]
1 year ago
12

4+xThe function g is defined by g(x) =5 + 3xFind g(5n).

Mathematics
1 answer:
Nikolay [14]1 year ago
8 0

The function g is defined by:

g(x) = (4 + x) / (5 + 3x) ...(1)

Now, we need to find g(5n); that is, we make: x = 5n

Replacing this into equation (1):

g(5n) = (4 + 5n) / (5 + 3*(5n)) = (4 + 5n) / (5 + 15n)

So, the final answer is:

g(5n) = (4 + 5n) / (5 + 15n)

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Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

<u>Now, if the annual rate is 6% continuously compounded.</u>

<u>First, we need to calculate the effective interest rate:</u>

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0
3 years ago
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jek_recluse [69]
Yes you are correct, :)
6 0
3 years ago
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4 0
3 years ago
Re-write the equation 3x - y = 4 in slope-intercept form.
Verdich [7]

Answer:

a

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 3x - y = 4 into this form ( add y to both sides )

3x = y + 4 ( subtract 4 from both sides )

3x - 4 = y OR y = 3x - 4 → a

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3 years ago
Hara asked 5 more Friends to choose their favorite flavor. 3 friends chose berry and 2 friends chose lime. Do more friends like
lianna [129]

Answer:

Step-by-step explanation:they are even

5 0
3 years ago
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