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Vikki [24]
3 years ago
12

To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the

rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

below

Step-by-step explanation:

cost of the machinery = $14,400

he paid a deposit of $1400

then later paid $576.18 for two years

two years = 24 months

= $576.18 *24

=$13,828.32

total amount paid

= initial deposit + amount paid in two years

= $1,400 + $13,828.32

=$15,228.32

so he finally paid $15,228.32

interest = selling price - original cost

= $15,228.32 - $14,400

=$828.32

therefore interest = $828.32

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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

8 0
3 years ago
Helpppppppppppppppppppppppp
alexdok [17]
First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1
5 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST
Olin [163]

Answer:

Step-by-step explanation:

in tri ADC and tri BDC

∠ADC =∠BDC = 90

DC is common

AD = BD (given)

triangle ADC ≅ tri BDC by SAS congruency

hence AC = BC by CPCT ( congruent parts of congruent triangles)

hence, BC = 13

8 0
3 years ago
Read 2 more answers
2x + y = 7 y = x + 1 When the expression x+1 is substituted in for y in the first equation, the result is
Charra [1.4K]

2x + y = 7

substitute

2x + (x+1) =7

combine like terms

3x+1 =7

subtract 1 from each side

3x =6

divide by 3

x=2

y = x+1

y =2+1

y=3

Answer: x=2, y=3

6 0
3 years ago
What is the what is the answer
ElenaW [278]
The answer would be D. 18/6. We can figure this out because in the question, it says that each shape is worth one whole. There are three shapes so that means when added, the sum is 3 and 18/6, when reduced is 3.
I hope this helped! :-)
3 0
3 years ago
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