Can someone help??plzzz..

Mathematics

1 answer:

Sav [38]4 years ago

4 0

When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.

So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.

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He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
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and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus $\bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
----------\\
0.03a+0.05\left( \boxed{a+100} \right)=53
\end{cases}$

solve for "a", to see how much was invested at 3%

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