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alekssr [168]
3 years ago
12

Mark is investing $8,000 in an account paying 5.5% interest compounded monthly.

Mathematics
1 answer:
agasfer [191]3 years ago
5 0

Answer:

The formula is F = P(1 + interest percent)^n

Here,

p =8000 dollar

interest percent =5.5%  = (5.5/12)/100 =0.004583 (compounded monthly)

n =7 x 12 =84 (compounded monthly)

=>  Mark's account balance after 7 years

F = 8000*(1+0.004583)^84 =11746.2503 dollar

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Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
Gre4nikov [31]

In this picture dots are clearly shown the frequency of the concert.

<h3>What is Frequency?</h3><h3>Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.</h3>

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

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2 years ago
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Answer:

<em>A = $5183.36</em>

Step-by-step explanation:

<u>Compound Interest</u>

It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.

Applying the formula:

{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}

{\displaystyle A=4000\left(1.0065\right)^{40}}

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Answer:

GCF 4, LCM 80

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Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

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