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Gennadij [26K]
3 years ago
7

You are a freshman in college and are planning a trip to Europe when you graduate from college at the end of four years. You pla

n to save the following amounts starting today: $625, $700, $700, and $750. If the account pays 5.75 percent annually, how much will you have at the end of four years?
Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

You will have $3439 available.

Step-by-step explanation:

You have in total 625+700+700+750 = $2750. Each year this amount is multiplied by 1.0575, hece at the end of four years, you will have

2750 * 1.0575⁴ = $3439, thus at the end of 4 years you will have $3439 available.

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A tower that is 111 feet tall casts a shadow 126 feet long. find the angle of elevation of the sun to the nearest degrre
Sergeeva-Olga [200]
The angle here is an acute angle at ground level.  Then the side adjacent to this angle is 126 feet.  The opp. side is the tower, 111 feet tall.

Then   

tan theta = opp / adj = 111 / 126.  Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
3 0
2 years ago
A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r
Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

5000\cdot 1.04^x \geq 11600

1.04^x \geq 2.32

log base 1.04 2.32=x

x\approx 21.457 years

Hope this helps!

8 0
3 years ago
In the algebraic expression 7/y why is coefficient of y? Explain.
dybincka [34]

Answer:

7 is the (constant) coefficient of 1/y, but no, it is not the coefficient of y

Step-by-step explanation:

7/y can be rewritten as 7(1/y) or as 7(y^[-1]).  In this case, yes, 7 is the (constant) coefficient of 1/y, but no, it is not the coefficient of y.

3 0
3 years ago
Evaluate the expression. Choose the best answer. <br><br><br><br><br><br> <img src="https://tex.z-dn.net/?f=8%5EP4" id="TexFormu
Morgarella [4.7K]
N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680

The final answer is 1680

4 0
3 years ago
Find the volume of each square pyramid given its slant height. Round to the nearest tenth. It looks like a normal pyramid with a
Luden [163]

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

5 0
2 years ago
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