A rectangle measures 3 inches by 4 inches. If the lengths of each side double,what will its area be

8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in

ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

$13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9$

Thus, after 9 years the account will be worth 13709.60$

5 0

3 years ago

Read 2 more answers

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering st

Ksenya-84 [330]

Answer:

"6 out of 10 people" means the ratio of class:no_class is 6:4

990/10 = 99, the smallest the "class" and the "no_class" add up to is 10. And, generally, the total divides with that nicely, as in this case.

99(6) = 594 ----------- probably class

99(4) = 396 ------------------ probably no class

Total = 990

I hope this helps

Step-by-step explanation:

BRAINLIEST?

4 0

3 years ago

Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.

Ilya [14]

Answer:

none of them

Step-by-step explanation:

Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.

line 1:

y – 1 = (x+2)

y = x + 3

slope of line 1 = 1

line 2:

y + 2 = –3(x – 4)

y + 2 = -3*x + 12

y = -3*x + 10

slope of line 2 = -3

m1*m2 = 1*(-3 ) = -3

They are not perpendicular

line 3:

y − 5 = 3(x + 11)

y − 5 = 3*x + 33

y = 3*x + 38

slope of line 3 = 3

m1*m3 = 1*3 = 3

They are not perpendicular

line 4:

y = -3x –

slope of line 4 = -3

m1*m4 = 1*(-3 ) = -3

They are not perpendicular

line 5:

y = x – 2

slope of line 5 = 1

m1*m5 = 1*1 = 1

They are not perpendicular

line 6:

3x + y = 7

y = -3x + 7

slope of line 6 = -3

m1*m6 = 1*(-3 ) = -3

They are not perpendicular

5 0

3 years ago

Read 2 more answers

Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4.

Fynjy0 [20]

Answer:

Part a) The raisins cost $0.8 per ounce

Part b) 1.25 ounces

Step-by-step explanation:

<u><em>The correct question is</em></u>

Jackson bought 5 ounces of raisins for $4 dollars.

a) How much do raisins cost per ounce?

b) How many ounces of raisins can be bought for $1?

Part a) How much do raisins cost per ounce?

we know that

To find out the unit rate divide the total cost by the total weight

so

$\frac{4}{5} =\$0.8\ per\ ounce$

therefore

The raisins cost $0.8 per ounce

Part b) How many ounces of raisins can be bought for $1?

we know that

The raisins cost $0.8 per ounce

using proportion

Find out how many ounces of raisins can be bought for $1

Let

x -----> the ounces of raisins

$\frac{1}{0.8}=\frac{x}{1}\\\\x= 1.25\ ounces$

8 0

3 years ago

Read 2 more answers

Main street Auto Leasing has a ratio of cars to trucks that is 9:4.

olchik [2.2K]

Answer:

I hope you understood! Good luck with the rest of your class :)

3 0

3 years ago