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3 years ago

3.

1 answer:

5 0

3)
Principal Amount = P = $7200
Interest rate = r = 4% = 0.04
Time = t = 8 years

Formula for compounding is:

$A=P (1+r)^{t}$

Using the values, we get:

$A=7200 (1+0.04)^{8}=9853.70$

Therefore, the compounded amount will be $9853.70

4)
Principal Amount = P = $7200
Compounded Amount = A = $9853.70

Interest Earned = Compounded Amount - Principal Amount
So,
Interest Earned = 9853.70 - 7200 = $2653.70

Therefore, $2653.70 will be earned as interest over a period of 8 years.

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Write four hundred seven trillion six million one hundred five thousand twenty eight in standard form

Ratling [72]

Standard form would be
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3 years ago

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What temperature is 15 degrees lower than 7 degrees Celsius?

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3 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

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2 years ago

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $960. One month later, you

Diano4ka-milaya [45]

The money was paid at an annual interest of 261.42%

Explanation:

The initial amount of the guitar when it was loaned was $960. After a month the guitar cost $1,170. This means that in one month the price went from $960 to $1,170. Increase in cost = Difference between two costs = $1,170 - $960 = $210.
To convert this into a percent we divide the difference in value by the original price and multiply the answer with 100 to convert it into a percentage. % increase in cost = difference between two costs / original cost % increase in cost = ($210 / $960) * 100 = 0.21785 * 100 = 21.785%
This 21.875% was the monthly interest that was paid. To convert it into annual interest rate we multiply it with the 12 months.
Annual interest rate = monthly interest rate * 12 = 21.785% * 12 = 261.42%. This means if the guitar was loaned for a year, you would have to pay $3469.44.

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3 years ago

A rectangle's length is 1in longer than it's width and the diagonal has a length of 29in. What are the lengths of the sides?

Mekhanik [1.2K]

28in is the with because 19in - 1in = 28in.

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3 years ago