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Kazeer [188]
3 years ago
14

To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t

he rest. After years of paying monthly payments of $478.67, she finally paid off the loan.
a) What was the total amount Melissa ended up paying for the machinery (including the down payment and monthly payments)?

(b) How much interest did Melissa pay on the loan?
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

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A student has $1 bills and $5 bills in his wallet. He had a total of 15 bills that are worth $47. How many of each type does he
Mrrafil [7]

Total number of $1 bills=7

Total number of $5 bills=8

Further explanation:

Given

Let x be the number of $1 bills

and

y be the number of $5 bills

Then according to the given statements

x+y=15

x+5y=47

From first equation:

x+y=15\\x=15-y

Putting x=15-y in second equation

x+5y=47\\15-y+5y=47\\4y=47-15\\4y=32\\\frac{4y}{4}=\frac{32}{4}\\y=8

Putting y=8 in first equation

x+8=15\\x=15-8\\x=7

Hence,

Total number of $1 bills=7

Total number of $5 bills=8

Keywords: Linear equations, Substitution method

Learn more about linear equations at:

  • brainly.com/question/2367554
  • brainly.com/question/2977815

#LearnwithBrainly

4 0
3 years ago
What is the value of x in these questions
Mademuasel [1]

Answer:

a X=12

B X=4

C X=7

D X=24

E X=20

6 0
3 years ago
Read 2 more answers
X^2 -10x -24 =0<br><br><br> A. (x-4)^2=49<br> B. (x-5)^2=16 <br> C. (x-5)^2 =49<br> D. (x-8)^2=64
blondinia [14]

Answer:

B

Step-by-step explanation:


4 0
3 years ago
Any number divisible by 3 is divisible by 6.
dimaraw [331]

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

4 0
2 years ago
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Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard devi
kolezko [41]

Answer:

0.53347

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = -0.084 °C

μ is the population mean = 0 °C

σ is the population standard deviation = 1°C

Z score =x - μ/σ

= -0.084 - 0/1

= -0.084

Probability value from Z-Table:

P(x<-0.084) = 0.46653

P(x>-0.084) = 1 - P(x<-0.084) = 0.53347

The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =

is 0.53347

8 0
2 years ago
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