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3 years ago

15

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh

aded region
4 mm
mm
1 mm
15 mm

1 answer:

Simora [160]3 years ago

3 0

Answer:

wgtvwthrr

Step-by-step explanation:

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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (

aleksandr82 [10.1K]

Answer:

The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

Step-by-step explanation:

Given

Accrued Amount A = $1000000

Interest rate r = 6% = 0.06

Time period t = 45 years

Compounded monthly n = 12

To determine:

Principle amount P = ?

Using the formula

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

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

substituting A = 1000000, r = 0.06, t = 45, and n = 12

$P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:$

$=\frac{1000000}{1.005^{540}}$

$P = 67659.17$ $

Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

7 0

2 years ago

The value of a car is $30,000 and depreciates at a rate of 6.5% each year.

navik [9.2K]

Answer:$20250

Step-by-step explanation:

6.5% of 30000

6.5/100 x 30000

(6.5 x 30000)/100

195000/100=1950

First year depreciation 30000-1950=28050

Second year=28050-1950=26100

Third year=26100-1950=24150

Fourth year=24150-1950=22200

Fifth year=22200-1950=20250

7 0

2 years ago

From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin

borishaifa [10]

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

$C_{n,x} = \frac{12!}{4!(8)!} = 495$

495 combinations of 4 students can be selected.

8 0

3 years ago

Candice leaves on a long trip driving at a steady rate of 35 miles per hour. Her sister Liz leaves from the same location travel

VARVARA [1.3K]

Answer:

<h2>D. 7h</h2>

Step-by-step explanation:

$v=\dfrac{d}{t}\\\\v-\text{average speed}\\d-\text{distance}\\t-\text{time}\\\\d=vt,\ t=\dfrac{d}{v}\\\\\bold{Candice:}\ v_C=35\ mph,\ d_C,\ t_C\\\\\bold{Liz}:v_L=50\ mph,\ d_L,\ t_L=t-3\\\\\bold{Equation}:\\\\/\text{the distances are the same}/\\\\d_C=d_L\\\\d_C=v_Ct_C,\ d_L=v_Lt_L\\\\35t_C=50(t_C-3)\qquad\text{use the distributive property}\\\\35t_C=50t_C-150\qquad\text{subtract}\ 50t_c\ \text{from both sides}\\\\35t_C-50t_C=50t_C-50t_c-150\\\\-15t_C=-150\qquad\text{divide both sides by (-15)}$

$\dfrac{-15t_C}{-15}=\dfrac{-150}{-15}\\\\t_C=10\\\\t_L=10-3=7$

4 0

3 years ago

Does anybody know how to do this?

Degger [83]

List the degrees from least to greatest ie, 11,7,7,6,4,3 then the first is ur degree. So the answer is D. 11

7 0

2 years ago