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Andrei [34K]
3 years ago
14

Enter the solution to the inequality in the box. 7−3(x+5)+8x≤17

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0
Solve for x by simplifying both sides of the inequality, then isolating the variable.
x < 5
ps: the less than sign has a underline i cant do it through here but you know what i mean.
AleksandrR [38]3 years ago
3 0

7-3x-15+8x≤17

(combine like terms)

5x-8≤17

(add 8 to both sides)

5x≤25

(divide by 5 on both sides)

x≤5

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What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8
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<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

i_1=\frac{8000\times x\times 1}{100} =80x

Interest earned by $17,000,

i_2=\frac{17000\times 1.3x\times 1}{100} =221x

According to the question,

\Rightarrow i_1=i_2+276

\Rightarrow 221x=80x+276

\Rightarrow 221x-80x=276

\Rightarrow 141x=276

\Rightarrow x=1.96

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

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