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mote1985 [20]
3 years ago
9

Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to

the nearest inch, of the shorter piece
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c  and y = 4 c   where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6    c = 6

x = 3 · 6 = 18 inches  and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

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Karolina [17]

Answer: the account earns interest of $40.16

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 875.83

r = 9% = 9/100 = 0.09

n = 12 because it was compounded 12 times in a year.

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Therefore,.

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The interest that she earns is

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7 0
3 years ago
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Sveta_85 [38]
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