3 years ago

What expressions are equivalent to (-7c+8d)0.6

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

The new expression is 4.8d - 4.2c

Explanation:

Given:

Expression = (-7c + 8d) 0.6

On multiplication we get:

-4.2c + 4.8d

Therefore, the new expression is 4.8d - 4.2c

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in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

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Answer: $59313.58

Step-by-step explanation:

Formula to find the accumulated amount of the annuity is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.

Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06

Now substitute all these value in the formula , we get

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})$

⇒ $FV=(4500)(\frac{(1.06)^{10})-1}{0.06})$

⇒ $FV=(4500)(\frac{0.79084769654}{0.06})$

⇒ $FV=(4500)(13.1807949423)$

⇒ $FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}$

Hence, the accumulated amount of the annuity= $59313.58

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2 years ago