Mathematics: Find how much should be invested to have 19,500 in 10 months at 7.5% simple interest

We are going to perform long division to find the quotient o our division. Let s checks the steps to perform our long division: Step 1. Write the dividend in descending order (from greatest to least exponent). Since our dividend is already written in descending order, we have to do nothing. Step 2. Divide the first term of the dividend by the first term of the divisor.The first term of our dividend is and the first term of our divisor is , so . will be the first term of our quotient.Step 3. Multiply...

Find how much should be invested to have 19,500 in

Ответ:

tonimgreen17p6vqjq

14.03.2022

Mathematics

Keeping in mind that 10 months is not even a year, since there are 12 months in a year, then 10 months is just 10/12 of a year, or 5/6.

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$19500\\
P=\textit{original amount deposited}\\
r=rate\to 7.5\%\to \frac{7.5}{100}\to &0.075\\
t=years\to \frac{10}{12}\to &\frac{5}{6}
\end{cases}
\\\\\\
19500=P\left( 1+0.075\cdot \frac{5}{6} \right)\implies 19500=P(1.0625)
\\\\\\
\cfrac{19500}{1.0625}=P\implies 18352.941176470\approx P$

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Ответ:

luis83113

05.06.2023

Mathematics

We are going to perform long division to find the quotient o our division.

Let's checks the steps to perform our long division:

Step 1. Write the dividend in descending order (from greatest to least exponent).

Since our dividend x^3-3x^2+5x-3 is already written in descending order, we have to do nothing.

Step 2. Divide the first term of the dividend by the first term of the divisor.

The first term of our dividend is x^3 and the first term of our divisor is , so $\frac{x^3}{x} =x^2$ .

x^2 will be the first term of our quotient.

Step 3. Multiply the term of the quotient, form step 2, by the terms of the divisor, and then subtract the respective products from the dividend.

x^2 term of the quotient form step 2

(x-1) divisor

x^2(x-1)=x^3-x^2

Subtract x^3 from the term with the same exponent of the dividend ( x^3 ): x^3-x^3=0

Subtract -x^2 from the respective term of the dividend ( -3x^2 ): -3x^2-(-x^2)=-3x^2+x^2=2x^2

Step 4. Bring down the next term of the dividend and repeat the whole process until you get to the last term of the dividend.

After completing the long division (check the attached picture), we can conclude that the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1) is x^2-2x+3 ; therefore, D is the correct answer.

What is the quotient (x3 – 3x2 + 5x – 3) ÷ (x – 1)? x2 – 2x – 3 x2 + 2x + 7 x2 – 3x + 8 x2 – 2x + 3

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Find how much should be invested to have 19,500 in 10 months at 7.5% simple interest

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