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zavuch27 [327]
3 years ago
7

How to simplify rational expressions?

Mathematics
1 answer:
Reptile [31]3 years ago
3 0
<span>1) Look for factors that are common to the numerator & denominator.
2) 3x is a common factor the numerator & denominator. ...
3) Cancel the common factor.
<span>4) If possible, look for other factors that are common to the numerator and denominator.</span></span>
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Read 2 more answers
) A bank customer invests a total of $7000in two savings accounts. One account yields 10% simple interest and the other 11% simp
VladimirAG [237]

The amount of money invested in 11% account is $10000

<h3><u>Solution:</u></h3>

Given that, A bank customer invests a total of $7000in two savings accounts.  

One account yields 10% simple interest and the other 11% simple interest.  

The customer earned a total of $800interest for the year.  

Now, let the amount invested in 11% account be $n, then amount in other account will be 7000 – n

<em><u>The simple interest is given as:</u></em>

\text { Simple interest }=\frac{\text {amount} \times \text {rate} \times \text {time}}{100}

<em><u>Then, for 10% account:</u></em>

\begin{array}{l}{\text { S. } \mathrm{l}=\frac{(7000-n) \times 10 \times 1}{100}} \\\\ {\text { S. } 1=\frac{(7000-n)}{10}}\end{array}

<em><u>And for 11% account:</u></em>

\begin{array}{l}{S .1=\frac{n \times 11 \times 1}{100}} \\\\ {S .1=\frac{11 n}{100}}\end{array}

Now, we know that, total simple interest = S.I from 10% account + S.I from 11% account

800=\frac{7000-n}{10}+\frac{11 n}{100}

80000 = 10(7000 - n) + 11n  

80000 = 70000 – 10n + 11n  

11n – 10n = 80000 – 70000

n = 10000

Hence, the amount of money invested in 11% account is $10000  

3 0
3 years ago
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