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maxonik [38]
3 years ago
14

When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her accoun

t had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Mathematics
2 answers:
salantis [7]3 years ago
7 0

Answer:

<u>The annual interest rate was 4.5% in Angela's college fund.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment when Angela was 10= US$ 5,000

Duration of the investment = 8 years

Balance of the account when Angela turned 18 = US$ 6,800

2. Let's find the annual interest rate of this investment after 8 years or 20 quarters, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment when Angela turned 10 = US$ 5,000

FV = Balance of the account when Angela turned 18 = US$ 6,800

number of periods (n) = 8

Replacing with the real values, we have:

6,800 = 5,000 * (1 + r) ⁸

6,800/5,000 = (1 + r) ⁸ (Dividing by 5,000 at both sides)

34/25 = 1⁸ + r⁸

34/25 - 1 = r⁸ (1⁸ = 1)

34/25 - 25/25 =r⁸ (1 = 25/25)

9/25 =  r⁸

0.36 = r⁸ (9/25 = 0.36)

⁸√0.36 = ⁸√r⁸

0.045 = r

r = 4.5%

<u>The annual interest rate was 4.5% in Angela's college fund.</u>

Fiesta28 [93]3 years ago
3 0

Answer:

The answer is 4.5

Step-by-step explanation:.

To determine the interest rate, substitute the numbers for the values in the I equals Prt formula. I equals one thousand eight hundred, P equals five thousand and t equals eight because the money was in the bank for eight years.

Multiply five thousand by eight.

Divide both sides by forty thousand and evaluate.

Finally, convert the decimal zero point zero four five to four point five percent.

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Answer:

  x = 45

Step-by-step explanation:

  0.4 + x(10%) = 4.9 . . . . . . given

  x(10%) = 4.5 . . . . . . . . . subtract 0.4

  x = 45 . . . . . . . . . . . . multiply by 10

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10 × 10% = 100% = 1

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Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an i
KonstantinChe [14]

Answer:

The watch is cheaper in Geneva, Switzerland by a value of £20

Step-by-step explanation:

To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.

Since pounds is also used in the b part of the question, it would be easier working with it.

In Geneva, the price of the watch is 193.75 CHF

from our conversion formula;

£1 = 1.55 CHF

£x = 193.75 CHF

We cross multiply to get the value of x

(193.75 * 1)/1.55

= 193.75/1.55 = £125

We can see that the watch costs less in Geneva and higher in Manchester

By how much is it cheaper?

We can calculate this by subtracting the value in Geneva from the value in Manchester

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In 1999 the population of Austria was one-third the population of Nepal. At that time the number of people living in Austria was
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Translate the following statements into symbolic form using capital letters to representaffirmative English statement.
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Answer:

Step-by-step explanation:

There are two distinct statements but put together, it is:

- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.

For Susan Collins, she advocates gun control too.

So the symbolic or algebraic representation is:

(SC = DF): (MC ~ AE), (PM ~ WA)

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Where ":" represents "such that" or "given that"

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It can now be read thus;

Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.

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