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murzikaleks [220]
3 years ago
13

Simplify the following expressions by using distributive property. 3x^2(4x-3)

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

12x^3-9x^2

Step-by-step explanation:

3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2

Hope this helps!

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Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%
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Mr. Jackson invested $800 at 6% per year and $ 2400  at 4 % per year

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

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}

a = $800

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So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400

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