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Dahasolnce [82]
2 years ago
7

An athlete signs a contract that guarantees a ​$ 9​-million salary 6 yr from now. Assuming that money can be invested at 6.7​% w

ith interest compounded​ continuously, what is the present value of that​ year's salary?
Mathematics
1 answer:
frozen [14]2 years ago
6 0

Answer:

$6,020,826.711

Step-by-step explanation:

The computation of the present value of that year salary is shown below:

As we know that

Present value in case of continuous compounding, the formula is

= \frac{Guaranteed\ amount}{e^{0.067 \times 6}}

where,

The Guaranteed amount is $9,000,000

The Time period is 6 years

And, the interest rate is 6.7%

Now placing these values

So, the present value is

= \frac{\$9,000,000}{e^{0.067 \times 6}}

= $6,020,826.711

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The radius of a cylinder is 5" and the lateral area is 70 sq. in. Find the length of the altitude. 2.8" 7" 14"
algol13
The correct question is
<span>The radius of a cylinder is 5" and the lateral area is 70pi sq. in. Find the length of the altitude.
</span>
we know that

[surface lateral area]=(2*pi*r)*height
height= [surface lateral area]/(2*pi*r)
surface lateral area=70*pi in²
r=5 in 
so
height= [70*pi]/(2*pi*5)------> 7 in

the answer is
7 in
5 0
2 years ago
Suzy randomly picks marbles from a bag containing 12 identical marbles. how many possible outcomes are there if she selects 6 ma
Deffense [45]
The answer is 2
 because 12 divided by 6 equals 2


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2 years ago
An aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly
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<span>n aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour.
Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? 
---
With wind DATA:
distance = 120 miles ; time = (3/4)hr ; rate = 120/(3/4) = 160 mph
----
Against wind DATA:
distance = 120 miles ; time = 1 hr ; rate = 120 mph
-----

Equation::
Let p be speed of the plane in still air
Let w be speed of the wind
==================================
With wind:: p + w = 160 mph
Against wind:: p - w = 120 mph
================================
</span>
4 0
2 years ago
Read 2 more answers
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea
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Answer: The correct answer is 1

Step-by-step explanation:

4 0
2 years ago
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