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Elenna [48]
3 years ago
7

$10,000 for 20 years at 5% compounded annually

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

$26532.98

Step-by-step explanation:

<u>Given:</u>

  • Principal = $10000
  • Profit rate = 5% PA compounded
  • Time = 20 years
  • Compounds = 20*1 = 20

<u>Sum is:</u>

  • 10000*(1 + 5/100)²⁰ ≈ 26532.98
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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
a glass of jar contains 1 red, 3 green and 2 blue marbles. asingle marble is chosen at random from the jar and its color is reco
lubasha [3.4K]

hi,  

first let's count the marbles :  1+3+2 = 6  

so picking a red  is  1/6

                  a green is :  3/6

                    a bleu is :  2/6

4 0
3 years ago
Suppose you know three minimum,lower quartile,median, upper quartile, and maximum values for a set of data. Explain how to creat
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Answer: First, draw and label a number line. Then plot the five values that are given above the line. Draw a box from the lower quartile to the upper quartile, with a line dividing it at the median. Then draw lines from the minimum and maximum values connecting to the box to form the whiskers.

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3 years ago
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled
Anna71 [15]

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

7 0
2 years ago
The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is
notsponge [240]
Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × \frac{4}{2+3+4}
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∴ the size of the largest angle = 80°
8 0
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