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olga nikolaevna [1]
2 years ago
15

Miguel invests money in an account paying simple interest. He invests $170 and no money is added or removed from the investment.

After one year, he has $185.30. What is the simple percent interest per year?
Mathematics
1 answer:
stiv31 [10]2 years ago
7 0

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$185.30\\ P=\textit{original amount deposited}\dotfill & \$170\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 185.30=170[1+(\frac{r}{100})(1)]\implies \cfrac{185.30}{170}=1+\cfrac{r}{100}\implies \cfrac{109}{100}=\cfrac{100+r}{100} \\\\\\ 109=100+r\implies \stackrel{\%}{9}=r

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victus00 [196]

Answer:

a=17\sqrt{2}

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

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Recall that the pythagorean theorem states: a^2+b^2=c^2

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

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Step-by-step explanation:

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damaskus [11]

Answer:

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Step-by-step explanation:

In order to solve this problem we can make use of the following formula:

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Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

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The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

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Vsevolod [243]

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

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r = 30 cm

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Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

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