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hammer [34]
3 years ago
9

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest

that is earned is $22.40. What was the amount of the original deposit?
Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

Answer:

it would be <u>800</u> because 2.8% of <u>800</u> is 22.40 and that is your answer.

hope i helped :)

masya89 [10]3 years ago
3 0

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

2.8\%=\frac{2.8}{100}=0.028

Upon substituting our given values in above formula, we will get:

\$22.40=P*0.028*1

\$22.40=P*0.028

\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}

\$800=P

Therefore, the amount of original deposit was $800.

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In one day, The Tool Shed rented out 25 self-propelled and riding mowers for a total fee of $900. The dolly rental cost was $20
masha68 [24]

They rented out 5 self-propelled mowers and 20 riding mowers.

Data;

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<h3>System of Equations</h3>

To solve this problem, we have to write a system of equations to represent the problem.

since we have

  • x = self - propelled mower
  • y = riding mowers

Let's write equations with these variables.

x+y = 25...equation (i)\\20x+40y = 900...equation(ii)

From equation (i)

x+y= 25\\x = 25 - y...equation(iii)

Put equation (iii) into equation (ii)

20x+40y=900\\x = 25-y\\20(25-y)+40y=900\\\\500-20y+40y=900\\500+20y=900\\20y=900-500\\20y=400\\\frac{20y}{20}=\frac{400}{20}\\ y=20

Let's substitute the value of y into equation(i)

x+y =25\\x+20 = 25\\x = 25 - 20\\x = 5

From the calculations above, they rented 5 self-propelled mowers and 20 riding mowers.

Learn more on system of equations here;

brainly.com/question/13729904

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Tabitha earned $60 in February. She earned $90 in March.
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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I
ladessa [460]
Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
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x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60


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kakasveta [241]

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Answer:

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Step-by-step explanation:

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