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4 years ago

Help I don’t understand

Mathematics

1 answer:

sukhopar [10]4 years ago

7 0

Answer:

C would be the answer to the first part because the two subtractions is a double negative making it a positve so if you replace that with a addition symbol it will read the absolute value of 125+70 which is 195

Part two the distance is 195 which is found in the first part. Absolute value is the distance from 0.

Part 1. C

Part 2. D

Hope this helps

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The Answer Is B

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$x = 23.80952380\%$

Meaning B is correct.

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Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,

MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

$L= 3W_1$ ---- initial dimension

$W_2 = 6m$ --- new width

$A_2 = 45m^2$ --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

$Area =Length * Width$

$A_2=L * W_2$

Make L the subject

$L = \frac{A_2}{ W_2}$

Substitute values for A and W

$L = \frac{45m^2}{6m}$

$L = \frac{45m}{6}$

$L = 7.5m$ --- this is the length of the garden

Calculate the initial width:

$L= 3W_1$

Make W1 the subject

$W_1 = \frac{1}{3} * L$

$W_1 = \frac{1}{3} * 7.5$

$W_1 = 2.5$

So, the initial area is:

$A_1 = L_1 * W_1$

$A_1 = 2.5 * 7.5$

$A_1 = 18.75$

The percentage change in area is:

$\%A = \frac{A_2 - A_1}{A_1}$

$\%A = \frac{45 - 18.75}{18.75}$

$\%A = \frac{26.25}{18.75}$

$\%A = 1.4$

Express as percentage

$\%A = 1.4*100\%$

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3 years ago

8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout

Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is $P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}$ , where

1. $P_{t}$ is the balance in the account after t years

2. d is the regular deposit (the amount you deposit each year or month

or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ $P_{t}$ = $500,000

∵ he sets up a payout annuity for 30 years in an account paying 10%

interest

∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity could provide each month

∴ n = 12

Substitute the values above in the formula

∴ $500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}$

∴ $500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}$

∴ 500,000 = d [2260.487925]

- Divide both sides by 2260.487925

∴ d = $221.19

The annuity could provide $221.19 each month

Learn more:

You can learn more about deposit in brainly.com/question/8782252

#LearnwithBrainly

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