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ryzh [129]
3 years ago
12

At the end of a 10-year loan, $13,570 had

Mathematics
2 answers:
Natalija [7]3 years ago
5 0

Answer:

5.9%

Step-by-step explanation:

Assuming simple interest compounded annually,

Final Amount = Initial amount [ 1 + (interest rate)(number of years) ]

or mathematically

A = P (1 + rt)

in our case, we are given

A = Initial Amount + Interest = $23,000 + $13,570 = $36,570

P = $23,000

t = 10 years

Substituting this into the equation for simple interest,

36,570 = 23,000 (1 + 10r)      (divide both sides by 23,000 and rearrange)

(1 + 10r) = 36,570 / 23,000

(1 + 10r) = 1.59   (subtract 1 from bot sides)

10r = 1.59 - 1

10r = 0.59  (divide both sides by 10)

r = 0.59 / 10

r = 0.059

hence the interest rate expressed as percentage is,

0.059 x 100% = 5.9%

Varvara68 [4.7K]3 years ago
3 0

Hiiiiiiiii the answer is .......... I don’t knowwweeee!!!!!

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu
fiasKO [112]

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61  (i)        

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

30\times (750x  + 17y) 30\times 141.61\\\\

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after solve the above equation we will get

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116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by  Division of 116 to both sides of an equation, to get y:

\frac{116y}{116} = \frac{96.28}{116}

y = 0.83

So, the natural gas is $0.83 per unit

7 0
3 years ago
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