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pshichka [43]
2 years ago
15

What amount will an account have after 2 years if $2950 is invested at an annual rate of 8.4% compounded quarterly? Also, determ

ine the investment into an account at an annual rate of 7.8% compounded continuously for the same period of time to accumulate $3742.
Mathematics
1 answer:
ankoles [38]2 years ago
3 0

The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

<h3>Compound interest</h3>

Compound interest is given by:

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

where t is the period, r is the rate, P is the initial amount, A is the final amount and n is the times compounded.

Given P = 2950, r = 0.084, n = 4, t = 2, hence:

A=2950(1+\frac{0.084}{4} )^{4*2}\\\\A=\$3486\\\\For \ r=0.078, A=3742,t=2,n=1:\\\\3742=P(1+\frac{0.078}{1} )^{1*2}\\\\P=\$3220

The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

Find out more on Compound interest at: brainly.com/question/24924853

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Vlada [557]

At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.

<h3>What exactly is simplification?</h3>

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,

The time will it be after they each have worked 4 shifts;

8 PM + 8 hour =4 AM

4 AM + 8 hour = 12 PM

12 PM+ 8 hour =8 PM

8 PM + 8 hour = 4 PM

Hence,  option E  is correct.

They will each have worked four shifts by the time it is 8 PM.

To learn more about the simplification, refer to:

brainly.com/question/23509407

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3 0
1 year ago
Car rental company charges 29 per day and $0.24 per mile. If a car was rented for 7 days and the total bill was $448.76, how far
Paraphin [41]

Answer:

The car drove for 1,024 miles.

Step-by-step explanation:

x=miles driven

y=days driven

448.76=29x+0.24y

448.76=29(7)+0.24y

448.76=203+0.24y

245.76=0.24y

y=1,024

7 0
3 years ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
The mean number of hours that employees of a large corporation work in a week is 41 hours with a standard deviation of 2.78. Wha
erastova [34]

Answer:

Step-by-step explanation:

0

5 0
2 years ago
Find the value of x.
mamaluj [8]

Answer:

if the sectors bc and ad are the same,x=70°

6 0
3 years ago
Read 2 more answers
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