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3 years ago

What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

3 0

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

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Read 2 more answers

Find each of the following for

KATRIN_1 [288]

<h2>Answer:</h2>

(a)

$f(x+ h)=8x+8h+3$

(b)

$f(x+ h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}=8$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as :

$f(x)=8x+3$

(a)

$f(x+ h)$

We will substitute (x+h) in place of x in the function f(x) as follows:

$f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3$

(b)

$f(x+ h)-f(x)$

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

$f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}$

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

$\dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8$

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2 years ago

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Step-by-step explanation:

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3 years ago

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