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Gwar [14]
3 years ago
13

Work the following interest problem.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
Loan Amount: $13,000
Method of payment: discount basis
Amount of Interest: $625
<span>Term of loan: 1 year
Solution:
=> 13 000 + 625 (interest) = 13 625 dollars.
=> </span>13 625 dollars / 12 months = 1135.42 dollars monthly
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Find the accumulated value of an investment $10,000 for 3 years at an interest of 7% if the money is compounded semiannually; co
asambeis [7]

Answer:

Correct answer: 1) AV = 12,290 $, 2) AV = 12,310 $, 3) AV = 12,330 $,

4) AV = 12,337 $

Step-by-step explanation:

Given:

I = 10,000$

n = 3 years

p = 7% = 0.07

Accumulated value of an investment is calculated with next formula:

AV = I · (1 + (p/a))ᵃⁿ  where is:

AV - accumulated value

I - investment

p - interest

a - number of calculation parts during one year as the accounting period

n - number of years as the accounting period

1) money is compounded semiannually

a = 2 and  a · n = 2 · 3 = 6

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/2))⁶ = 10,000 · 1.229 = 12,290 $

AV = 12,290 $

2) money is compounded quarterly

a = 4  and   a · n = 4 · 3 = 12

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/4))¹² = 10,000 · 1.231 = 12,310 $

AV = 12,310 $

3) money is compounded monthly

a = 12  and  a · n = 12 · 3 = 36

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/12))³⁶ = 10,000 · 1.233 = 12,330 $

AV = 12,330 $

4) money is compounded continuously

Accumulated value of an investment continuously compounded is calculated with next formula:

AV = I · eⁿᵇ   where is:

n - number of years as the accounting period

b = p = 7% = 0.07

n · b = 3 · 0.07 = 0.21

AV = 10,000 e⁰²¹ = 10,000 2.7183⁰²¹ = 10,000 1.2337 = 12,337 $

AV = 12,337 $

God is with you!!!

8 0
3 years ago
The probability than an event happens is .42. what is the probability that the event won't happen
Fed [463]
The probability that the event won't happen would be .58.
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3 years ago
Emily has a road map with a key that shows an inch on the map equals 5 miles of actual distance.if a distance measured on the ma
Pie
12 * 5 is 60.
Actual distance: 60 miles.
6 0
3 years ago
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds
djyliett [7]

Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

6 0
3 years ago
Read 2 more answers
Use the diagram to complete the statement.
Dima020 [189]

Answer:

∠FJH ≅ ∠BJA

Step-by-step explanation:

From the image we can see that the only congruent relation ∠FJH has is with ∠BJA which is due to these angles being vertically opposite

So, ∠FJH and ∠BJA are vertically opposite and hence, congruent. We can say that ∠FJH ≅ ∠BJA

4 0
3 years ago
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