Need steps written and solved

Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:

Amiraneli [1.4K]

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000
Time t = 7 years
Interest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88$

b. compounded quarterly, n = 4

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30$

c. compounded monthly, n = 12

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44$

d. compounded continuously

$A = Pe^{rt}=20000*e^{0.055*7}=29392.29$

5 0

2 years ago

Read 2 more answers

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':

svetlana [45]

Answer:

+6 B

Step-by-step explanation:

Which of the following completes the rule for this translation, (x, y) + (x + 6, )?

8 0

2 years ago

Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chri

JulsSmile [24]

Answer: The price of each small box is $4.8 and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36 ...(i)

4x+y= 30 ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8 and the price of each large box is $10.8.

5 0

3 years ago

Please help me ill mark you brainliest and please show your work :)

Nana76 [90]

Answer:

12

Step-by-step explanation:

Multiply both sides of the equation by 8/5.

4x-16=32

Move 16 to the other side

4x=32+16

add numbers on the right side

4x=48

divide both sides by 4

x=12

7 0

2 years ago

I need help with Question 14 . I need to submit it by monday... Pls help

GaryK [48]

Answer:

Distance between A and B is 5400 meters

Step-by-step explanation:

Consider "D" the letter to identify distance between A and B

Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:

Recall that distance equals the speed times the time:

distance= speed * time

First encounter:

100 * t = D - 80 * t

180 * t = D Equation (1)

Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .

Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:

100 *(t+6) = D - 75 * (t+6)

100 t + 600 = D - 75 t - 450

175 T + 150 = D Equation (2)

Now, let's equal equation (1) to equation (2), since D should be the same:

180 t = 175 t + 150

5 t = 150

t = 30

Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:

From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters

5 0

3 years ago