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BabaBlast [244]
2 years ago
8

Simon put $15000 in an account with a simple interest rate of 4.5%. How much interest will be earned after 8 years?

Mathematics
1 answer:
Leto [7]2 years ago
4 0

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$15000\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (15000)(0.045)(8)\implies I=5400

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Answer:

12+12+4+6+26=50

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aleksklad [387]

Answer:

33.3 Repeating

Step-by-step explanation:

1. You already know that 33 is the whole number so you have 33.

2. 1/3 is converted to .3333333 so you put 33 before the decimal point

3. You get 33.3333333

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8 0
3 years ago
Test for symmetry and then graph the polar equation.<br>r=3−5sinθ
anyanavicka [17]

Answer:

Symmetric with respect to the x-axis

Symmetric with respect to the y-axis

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7 0
3 years ago
2/7m-1/7=3/14 help this is so confusing
Free_Kalibri [48]

Solution for \frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ is \ m = \frac{5}{4} \ or \ m = 1\frac{1}{4} \ or \ m = 1.25

<h3>Further explanation</h3>

A case about one variable linear quations. We have to solve the equation to get the variable m. Let's isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to a value on the opposite side.

We add \frac{1}{7} to both sides:

\frac{2}{7}m - \frac{1}{7} + \frac{1}{7} = \frac{3}{14} + \frac{1}{7}

\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}

On the right side for the addition operation, we equate the common denominator by multiplying \ \frac{1}{7} \ by \ \frac{2}{2}

\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}

Then we combine terms to get:

\frac{2}{7}m = \frac{5}{14}

We divide by the coefficient of m, or in other words, multiply both sides by \frac{7}{2}:

\frac{2}{7}m \times \frac{7}{2} = \frac{5}{14} \times \frac{7}{2}

Finally, the solution is obtained as follows

m = \frac{35}{28}

We simplify fractions, both the numerator and denominator are divided equally by 7.

\boxed{ \ m = \frac{5}{4} \ }

In the form of mixed fractions, we get:

\boxed{ \ m = 1 \frac{1}{4} \ }

In decimal form, we get

m = 1 \frac{25}{100} \rightarrow \boxed{ \ m = 1.25 \ }

Check the solution into the equation:

\big( \frac{2}{7} \times \frac{5}{4} \big) - \frac{1}{7} = \frac{3}{14}

\frac{10}{28} - \frac{1}{7} = \frac{3}{14}

\frac{5}{14} - \frac{2}{14} = \frac{3}{14}

\frac{3}{14} = \frac{3}{14}

Both sides show the same value, so the solution is correct.

Quick steps in summary:

\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}

\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}

\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}

\frac{2}{7}m = \frac{5}{14}

m = \frac{5}{14} \times \frac{7}{2}

m = \frac{35}{28}

\rightarrow \boxed{ \ m = \frac{5}{4} \ }

\rightarrow \boxed{ \ m = 1 \frac{1}{4} \ }

\rightarrow \boxed{ \ m = 1.25 \ }

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

  • adding,
  • subtracting,
  • multiplying, and/or
  • dividing both sides of the equation with the same number.

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation. In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • turn fractions into mixed fractions or decimal forms.

Let's practice a lot until you get used to and know which operations should be done first.

<h3>Learn more</h3>
  1. A word problem that forms a single variable linear equation brainly.com/question/1566971
  2. Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790  
  3. Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876
<h3>Answer details  </h3>

Grade       : Middle School

Subject     : Mathematics

Chapter    : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14,  5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly

6 0
3 years ago
What is the result when the number 38 is decreased by 50%?
kolezko [41]

Answer:

19

Step-by-step explanation:

38 - 50% = 19

8 0
2 years ago
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