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Liula [17]
3 years ago
11

Mr. Thompson plans to invest $7,500 in a savings account that earns 2.75% simple annual interest. If he makes no other deposits

or withdrawals, how much money will Mr. Thompson's account be worth after 10 years.
Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

<em>Mr. Thompson's account be worth $9,562.50 after 10 years</em>

Step-by-step explanation:

<u>Simple Interest </u>

Interest is calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Mr. Thompson plans to invest P=7,500 in a savings account that earns r=2.75% = 0.0275.

The interest earned in t=10 years is calculated now:

I=7,500*0.0275*10

I=2,062.50

Now we add the interest to the principal:

A = $7,500 + $2,062.50

A = $9,562.50

Mr. Thompson's account be worth $9,562.50 after 10 years

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In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
Convert the fraction 7 24 into a repeating decimal.
goldenfox [79]
\dfrac7{24}=\dfrac6{24}+\dfrac1{24}=\dfrac14+\dfrac1{24}

\dfrac1{24}=\dfrac1{8\time3}=\dfrac a8+\dfrac b3=\dfrac{3a+8b}{24}
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We can choose a=-1 and b=\dfrac12, so that

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Recalling that \dfrac13=0.333\ldots, it follows that \dfrac16=0.166\ldots. So,

\dfrac1{24}=0.125+0.166\ldots=0.04166\ldots
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timofeeve [1]
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Step-by-step explanation:

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Answer:

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we know that

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