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HACTEHA [7]
3 years ago
14

An amount of $28,000 is borrowed for 11 years at 3.75% interest, compounded annually. if the loan is paid in full at the end of

that period, how much must be paid back? use the calculator provided and round your answer to the nearest dollar.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
Amount owing after 11 years  = 28,000(1 + 0.0375)^11

  =  $41,979  to nearest dollar
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Question
ella [17]

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

 interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- <u><em>Equate (1) ans (2)</em></u>

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

3 0
3 years ago
David, Malachy and Paul share some sweets in the ratio 5:4:1. David gets 20 more sweets than Paul. How many sweets does Malachy
White raven [17]

Answer:

16

Step-by-step explanation:

ratio is 5:4:1

David: Malachy: Paul

David gets 20 (that is 4 times more than the original ration. so need to multiply everything by 4)

4*4=16

1*4=4

new ration- 20:16:4

So David gets 20

Malachy gets 16

Paul gets 4

7 0
3 years ago
What is slope if the line x=-1
spin [16.1K]

Step-by-step explanation:

Vertical line => Slope is Undefined.

6 0
3 years ago
Read 2 more answers
Can someone pls help me I’m so confused!!! :(
Naddika [18.5K]

Answer:

u = 150

Step-by-step explanation:

Number of vertices:

10

Find the sum of the interior angles:

180(n - 2)

180(10 - 2)

180(8)

1440

To find u:

u = 1440 - (130 + 145 + 160 + 150 + 130 + 150 + 125 + 155 + 145)

u = 1440 - (1290)

u = 150

4 0
2 years ago
Which ordered pair is a solution to the equation y+1=3(x-4)
Talja [164]

Answer:

(0,-13),(1,-10),(2,-7)

Step-by-step explanation:

Hope this helps! Please mark as brainliest.

Thanks!

7 0
3 years ago
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