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kenny6666 [7]
3 years ago
7

Great Dish believes that it will need new equipment in 8 years. The equipment will cost $26,000. What lump sum should be investe

d today at 12%, compounded semiannually, to yield $26,000? a. $20,186.02 c. $16,388.00 b. $16,145.82 d. $10,234.80
Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

d. $10,234.80

Step-by-step explanation:

we are given

The equipment will cost $26,000

so, Amount is $26000

A=26000

should be invested today at 12%

r=12%=0.12

It is compounded semiannually

so, n=2

t=8

now, we can use formula

A=P(1+\frac{r}{n})^{nt}

now, we can plug values

26000=P(1+\frac{0.12}{2})^{2\times 8}

now, we can solve for P

P=10234.80338

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Suppose that 62 percent of the graduates from your high school go on to four-year colleges, 15 percent go on to two-year college
inn [45]

Answer:

b) .474

Step-by-step explanation:

If 62% go to a four-year college, that means that those who don't represent 38% of the high-school graduates.

You pick up someone who is NOT going to a four-year college (so, he's among the 38%)... what's the chance he's in the 18% of the whole high-school graduates population that found a job?

To calculate that probability, we have to divide 18% by 38%.

P = 18% / 38% = 0.4736, so 0.474

Since we are sure he doesn't go to a four-year college, there's 47.4% of chances he finds a job.

3 0
3 years ago
Add and simplify the result, if possible. x/18 + 3/18
Slav-nsk [51]

\frac{x}{18}  and  \frac{3}{18} both have a common denominator, so you can combine them into a single fraction:

\frac{x}{18}+\frac{3}{18}=\frac{x+3}{18}

You cannot simplify this fraction further:

- - - - - - - - - - - - - - - - - - - -

Answer:

\boxed{\frac{x+3}{18}}

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8 0
2 years ago
What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?
Art [367]

Answer:

The volume of hemisphere is <u>19.4 cubic meter</u>.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

Radius\ (r) = 2.1 m.

So, we put formula to get the volume of hemisphere:

Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.

<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>

Therefore, the volume of hemisphere is 19.4 cubic meter.

3 0
2 years ago
Please help me!
Sindrei [870]
Well, let's check if your inequality is true. We have to add the 3 scores up and divide them by 3 to know the average.

73 + 81 + 86 = 240
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80%

That's true, now let's check 101.

73 + 81 + 101 = 255
255 / 3 = 85

85%

That's true.

Your inequality is correct.
5 0
3 years ago
A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diame
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this gives
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6 0
3 years ago
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