<img src="https://tex.z-dn.net/?f=4112%20%5Cdiv%205%20%3D%20822%20%20%20remainder%202" id="TexFormula1" title="4112 \div 5 = 822

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1 year ago

remainder 2" alt="4112 \div 5 = 822 remainder 2" align="absmiddle" class="latex-formula">drag each expression to a box to show whether it is a correct way to check the answer to this equation

Mathematics

1 answer:

Anettt [7]1 year ago

4 0

given that

4112/5 = 822 remainder 2

to get the correct way and incorrect way.

For,

822 x 5 = 4110

For,

822 x 2 + 5 = 1649

For,

822 x 5 + 2 = 4112

therefore,

The correct way to check The incorrect way to way to check

822 x 5 + 2 822 x 5

822 x 2 + 5

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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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Step-by-step explanation:

We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) 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 n is number of periods.

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Now we get,

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})\\\\\Rightarrow\ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})\\\\\Rightarrow\ FV=(4500)(\frac{0.79084769654}{0.06})\\\\\Rightarrow\ FV=(4500)(13.1807949423)\\\\\Rightarrow\ FV=59313.5772407\approx59313.58 \ \$