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Morgarella [4.7K]
4 years ago
7

Suppose that an insurance agent offers you a policy that will provide you with a yearly income of $73,000 in 30 years. What is t

he comparable annual salary today, assuming an annual inflation rate of 4% (compounded annually)? (Round your answer to the nearest cent.)
Mathematics
1 answer:
pickupchik [31]4 years ago
8 0

Answer:

Comparable annual salary today is $22,507.26

Step-by-step explanation:

Data provided in the question:

Yearly income = $73,000

Time period, n = 30 years

Annual inflation rate = 4% = 0.04

Now,

Using the compounding formula, we have

Future value  = Present value × (1 + rate of inflation)ⁿ

or

$73,000 = Present value × (1 + 0.04)³⁰

or

$73,000 = Present value × 3.243

or

Present value = $22,507.26

Hence,

Comparable annual salary today is $22,507.26

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Point M (-3, 5) is translated using this rule. (x, y) ----> (x - 1, y) What are the coordinates of M'?
Nuetrik [128]

Answer:

The coordinates of point M' are M'(x,y) = (-4, 5).

Step-by-step explanation:

According to the statement, we have the following translation rule:

M'(x,y) = M(x,y) + (-1, 0) (1)

Where:

M(x,y) - Original point.

M'(x,y) - Translated point.

(-1, 0) - Translation vector.

If we know that M(x,y) = (-3, 5), then the coordinates of the point M' are:

M'(x,y) = (-3,5) + (-1,0)

M'(x,y) = (-4, 5)

The coordinates of point M' are M'(x,y) = (-4, 5).

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Step-by-step explanation:

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3 years ago
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Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
Darina [25.2K]

Answer:

12 m

Step-by-step explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

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This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔

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3*8 = 2*EH

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