Q1: payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. calculate the present value.

The present value is $ 27365.55

Step-by-step explanation:

Given as :

The amount at end of each month = $ 670

So, The amount for 5 years = 12 × 5 × $ 670 = $ 40200

The rate of interest compounded monthly = 8%

Let The Present value or Principal = P

So, from compounded method

Amount = principal ×

Or, $ 40200 = P ×

Or, $ 40200 = P ×

or, $ 40200 = P × 1.469

∴  P =

I.e P = $ 27365.55

Hence The present value is $ 27365.55   Answer

b

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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