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3 years ago

I don't know why its correct. Help explain to me pls.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

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1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for

jonny [76]

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

4 0

3 years ago

Read 2 more answers

fran found this expression in her cookbook. 1/3 divided by 2.write a scenario that explains the expression and solve

mars1129 [50]

This may help:

There are $\frac{1}{3}$ gallons of lemonade.

Two friends share the lemonade.

What fraction of the lemonade does each friend receive?

To solve you do kcf or keep change flip.

You keep $\frac{1}{3}$ and change division to multiplication.

Then $\frac{2}{1}$ is changed to $\frac{1}{2}$

<span>The answer would be </span> $\frac{1}{6}$

Hope That Helps!

4 0

3 years ago

Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo

erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

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

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ $39500=P(1+\frac{0.095}{365})^{365*10}$

∴ $39500=p(2.58539)$

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0

3 years ago

What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

Sergeeva-Olga [200]

The maximum number of turning points in a cubic function is 2.

In this case,

$f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4$

The discriminant is $(-2)^2-4(9)(4)=-140$ , which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.