Please show work!

1 answer:

3 0

Okay. So the formula for the amount of time is I / Pr, meaning you multiply the principal and the rate in decimal form together, and you divide the amount of interest by that number. The formula for finding the interest rate is I / Pt, meaning you multiply the principal and time, and the you divide the amount of interest by that number. With a decimal, be sure to multiply by 100 to get the whole percentage. With that being said, if you solve this correctly, here are your answers.

Principal: $6,631
Interest Rate: 8.05%
Time: 33 months
Simple Interest: $1,467.94

Principal: $884,706
Interest Rate: 5.42%
Time: 40 months
Simple Interest: $159,931

Note: For times in months, you'll have to do some conversion into decimals, but you know that 12 months equal 1 year, so you can divide the time period by 12. For the second part, I happened to get 5.43% when I worked it out, but a calculator happened to round off to 5.42%, so it's a bit confusing, but those are the answers.

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Name the property or definition illustrated below

dimulka [17.4K]

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

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Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

$\frac{18-14}{1-0}$

Simplify:

18 - 14 = 4

1 - 0 = 1

$\frac{4}{1}=4$

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

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Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

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Answer: