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Mashutka [201]
3 years ago
8

PLEASE HELP!!! An investment earns 3% a year compounded monthly. Find the value of an initial investment of $5,000 after 6 years

.
Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

A = $5,984.74

A = P + I where

P (principal) = $5,000.00

I (interest) = $984.74

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.03/12)(12)(6)

A = 5,000.00(1 + 0.0025)(72)

A = $5,984.74

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.

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Please solve the problem.
Deffense [45]
OK.  I did it, and I have the solution.
_____________________________________

The length of the deck is  (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

                 (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

                                             4x² + 18x + 20  =  90 .

Subtract 90 from each side:    4x² + 18x - 70  =  0
Divide each side by 2 :           2x² + 9x - 35  =  0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck  10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ),  =  90 yds².
 
3 0
3 years ago
The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dolla
stealth61 [152]

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

7 0
3 years ago
A forest covers 69,000 acres. A survey finds that 0.6​% of the forest is​ old-growth trees. How many acres of​ old-growth trees
JulijaS [17]

Answer:

414 acres.

Step-by-step explanation:

To answer this question we have to multiply the percent by the total acres.

Remember that when multiplying percents we have to move the decimal 2 places to the left.

So, the equation looks like this:

69,000 * .006 = 414

Therefore, there are 414 acres that are old-growth trees.

We can check our answer by dividing 414 by 69,000.

414/69000 = .006

.006 * 100 = .6

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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3 years ago
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Katyanochek1 [597]

Answer:

Yes.

Step-by-step explanation:

Option B was correct because it said that x was less than 1 so one couldn't be an answer. Knowing that you would have to pick one with an open circle showing that 1 couldn't be it so that narrows down the options to b or c. The line goes in the direction of the less than arrow (<) so that would point to answer b.

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