The answer is:
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" 3 < x < 4 " ; or; write as: " 4 > x > 3 " .
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Explanation:
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Given:
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" 4 < 2x + 10 < 18 " ,
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Divide the entire inequality by "2" to simplify:
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{4 < 2x+10 < 18 } / 2 ;
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2 < x+5 <9
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First, we have:
2<x+5 ;
Subtract "2" form each side:
(2-2) < (x + 5 - 2) ;
0 < x - 3 ;
Add "3" to each side:
0 + 3 < x - 3 + 3 ;
3 < x
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Then we have;
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x + 5 < 9 ;
Subtract "5" from each side;
x + 5 - 5 < 9 - 5 ;
x < 4
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So, we have:
3 < x and x < 4
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We can combine these; and write as:
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" 3 < x < 4 " ;
or: write as: " 4 > x > 3 " .
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Answer:
14/3
Step-by-step explanation:
7/9*6
= 14/3
Hope it helps you
Answer:
Step-by-step explanation:
The standard compound interest formula is given by:
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
Let’s solve for our rate r.
Divide both sides by 10000:
We can raise both sides to 1/3.3. So:
The right side will cancel:
So:
Use a calculator:
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
Answer: if I am correct it is 39%
Step-by-step explanation: