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GenaCL600 [577]
3 years ago
11

He minimum and maximum temperature for a day in cupcake town can be modeled by the equation below: 3|x − 8| + 15 = 18 what are t

he minimum and maximum temperatures for this day?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0
First, put the modulus equation on one side with everything else on the other side.

3|x-8|=18-15
|x-8| = 3/3
|x-8| = 1
x-8 = +- 1

x-8 =1
x= 9

AND

x-8=-1
x=7

The minimum temperature would be 7° and maximum would be 9°.

Hope I helped :)
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Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal
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Answer:

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Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years = x(1+0.05)^{2}\cdots(i)

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years = (82000-x)(1+0.05)^{3}\cdots(ii)

As both the amounts are equal, so from equation (i) and (ii)

x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\

x= 42000

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Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

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