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Ksju [112]
4 years ago
8

Suppose that you want to have $1,000,000. so, you invest an initial $15,000 today which pays an annual compounding rate of 9%. a

lso, you make annual payments of $1,000. how long will it take to get the $1,000,000?
Mathematics
1 answer:
xenn [34]4 years ago
3 0
To awnser this , you first need to discover how much is 9% of 15000 that you invested.
To discover that you can just divide by 100 and multiply by 9
15000 ÷ 100 = 150
150 × 9 = 1350
So each year he earns $1350 but he has $1000 annual payments , so he only profit $350 a year.
Now to discover how long it will take to achieve $1.000.000 back you can just take the the $15.000 he needs to have 1.000.000 and divide by how much he profit each year
15000÷350= 42.85
which means it will take approximately 42 years and 10 months to achieve $1.000.000

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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
Ivan

Answer: the remaining credit after 79 minutes of call is $15.52

Step-by-step explanation:

let x represent the number of minutes of call.

Let y represent the remaining credit after x minutes of call.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (17.2 - 19.84)/(65 - 43)

m = - 2.64/22 = - 0.12

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 65, y = 17.2 and m = - 0.12 into y = mx + c. It becomes

17.2 = - 0.12 × 65 + c

17.2 = - 7.8 + c

c = 17.2 + 7.8

c = 25

The linear function becomes

y = - 0.12x + 25

Therefore, the remaining credit after 79 minutes of call is

y = - 0.12 × 79 + 25

y = - 9.4 + 25

y = 15.52

6 0
3 years ago
Find the system of x.​
marissa [1.9K]

Answer:

61 degrees

Step-by-step explanation:

A right angle equals 90 degrees.

90-29= 61

6 0
3 years ago
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Solve for the value of k. how? how can I solve it​
Ahat [919]

Answer:

6

Step-by-step explanation:

The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.

4 0
3 years ago
Tim Jones bought 100 shares of a mutual fund ABC at $5.25 with no load. And 100 shares of DEF at $6 which had a load of $275.
ipn [44]

Question Completion:

Evaluate the two investments, assuming shares of ABC were sold at $10.00 each, while those of DEF were sold at $15 each.  Which investments yielded the higher return?

Answer:

Tim Jones

Investment in DEF yielded the higher return of $1,225 (net proceeds) than ABC's return of $1,000.

Step-by-step explanation:

a) Data and Calculations:

Investments in ABC and DEF:

                                          ABC           DEF

Investment (shares)          100           100

Unit price of shares         $5.25        $6.00

Total investments            $525        $600

Selling price per share    $10           $15

Sales proceeds              $1,000     $1,500

Investment commission   ($0)        ($275)

Net proceeds from sale $1,000     $1,225

b)  The above calculations show clearly that the investment in DEF with a load of $275 yielded the higher returns than investment in ABC with no load.  This result suggests that the investment load may not be the only factor for rejecting an investment, but its net proceeds.

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52 is what percent of 50
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I think u divide those 2 numbers not sure thou
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