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1 year ago

Jaun's age, x, is 4 times his age 15 years ago

1 answer:

7 0

The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

<h3>How to rewrite the statement as an expression?</h3>

The mathematical statement is given as

Jaun's age, x, is 4 times his age 15 years ago

From the statement, we have:

x represent Juan's current age

This means that his age 15 years ago is

15 years ago = x - 15

4 times his age 15 years ago is

4 * 15 years ago = 4 * (x - 15)

The above equation is equivalent to his current age

So, we have

x = 4 * (x - 15)

Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

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The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely

kondor19780726 [428]

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

<h3>Equation of a line</h3>

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

m is the slope
b is the intercept

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

Learn more on line plot here: brainly.com/question/8989301

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7 0

2 years ago

A certain college graduate borrows 5510 dollars to buy a car. The lender charges interest at an annual rate of 17%. Assuming tha

Diano4ka-milaya [45]

Answer:

His annual payment rate required to pay off the loan in 7 years is $k = $2362.41$ a year.

He has to pay $11026.85 in interest

Step-by-step explanation:

The first step to solve this problem is find how much the student will have to pay for the car. So, we have to find how much the present value of the car(in $) will be worth in 7 years. This is a compound interest problem:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this exercise, we have:

A = The value we want to find

P = The initial value = 5510

r = 0.17

n = 1

t = 7

$A = 5510(1 + \frac{0.17}{1})^{7}$