The question is an annuity question with the present value of the annuity given.
The
present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) /
(r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number
of payments in a year = 6; n = number of years = 11 years and P is the
periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
Answer:
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Answer:
a) (59180,60820)
b) (59020,60980)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $60,000
Standard Deviation, σ = $5,000
Sample size, n = 100
a) 90% critical values
Putting the values, we get,

b) 95% critical values
Putting the values, we get,

Answer:
(x-7)^2+(y-8)^2=121
Step-by-step explanation:
Option (A) represents the function and its inverse of a function option (A) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function and inverse of a function shown in the picture.
Checking for option (A):

Taking f(x):

To find the inverse of a function interchange the x and y variables:
f(x) → x
x → g(x)

Solving:
4x = g(x) + 10
g(x) = 4x - 10
Similarly, we can find the inverse of a function.
Thus, option (A) represents the function and its inverse of a function option (A) is correct.
Learn more about the function here:
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