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anastassius [24]
3 years ago
9

How do I solve this problem?

Mathematics
1 answer:
jekas [21]3 years ago
8 0
<span>Future Value: $227,016.59
Total Deposits: $186,000.00
Interest Earned: </span>$41,016.59

A = P ( 1 + r / n ) ^nt

A = value after t periods

P = principal amount (initial investment)

r = annual nominal interest rate (not reflecting the compounding)

n = number of times the interest is compounded per year

t = number of years the money is borrowed for

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
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Which statement is true about the graph of
Alekssandra [29.7K]
The answer is C it’s vertex is at (2,4) because a quadratic formula is suppose to look like y= a ( x - h )^2 + k and the vertex is (h,k) when you look back at Your question h=-2 and but Bc of the formula then it’ll be h=2 and then k=4 and that’s how you get the vertex from a quadratic formula. Hope this helps :)
6 0
3 years ago
You are given a fraction in simplest form. the numerator is not zero. when you write the fraction as a decimal,it is a repeating
pochemuha
You could easily do that yourself, with a pencil, and about the same amount of time it took you to post the question here.

If you go through and try them . . . 1/1,  1/2,  1/3,  1/4, 1/5 . . . etc., you'll find
that the thirds, sixths, sevenths, and ninths produce repeating decimals.
The oneths, tooths, fourths, fifths, eighths, and tenths don't.
6 0
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PLZ HELP!!!!!!!!!!!!!!!!!!!! WILL MARK
mamaluj [8]
The answer is number 3.
7 0
3 years ago
Stacy was born in 1996.When she was, her brother was 7. What year was her brother born
Tasya [4]

Answer:

Her brother was born in 1989

Step-by-step explanation:

Since the brother was 7 when Stacy was born in 1996, all you have to do is subtract 7 from 1996 to get 1989 because thats when the brother would be zero years of age.

4 0
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