How to solve 4y^2+8=2y^2

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer: see photo for work

Step-by-step explanation:

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What is the value of (-140 ^0) ^ -2

BigorU [14]

The answer is 1 because anything Raised to the power of zero will always be one in one to the power of -2 will be one

7 0

3 years ago

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What is the area of this figure?

nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

<em>Solution; 290.5 square miles</em>

4 0

3 years ago

Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest

Ivanshal [37]

Answer: C 2.5%

Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

$\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%$