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NARA [144]
4 years ago
7

If julie invests $9,250 at a rate of 7%, compounded weekly l, find the value of the investment after 5 years

Mathematics
1 answer:
dem82 [27]4 years ago
5 0
Total = Principal * (1 + rate/n)^n*years
where n = number of compounding periods per year
Total = 9,250 * (1 + (.07/52))^52*5
Total = 9,250 * (1<span>.0013461538</span>)^260
Total = 9,250 * <span> <span> <span> 1.418733571 </span> </span> </span>
Total = <span> <span> <span> 13,123.2</span></span></span>9

Source:
http://www.1728.org/compint3.htm


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ANSWER:

25/144

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4 0
3 years ago
Tobias is making scones. The recipe calls for 2/3 cup of flour to make 6 scones. What is the unit rate for cups of flour per sco
MA_775_DIABLO [31]

Answer:

A. 1/9 cup of flour per scone.

B. 9 scones per cup of flour.

Step-by-step explanation:

We're given that Tobias uses 2/3 cup of flour makes 6 scones.

A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,

U. R. = (cup of flour)/(number of scones)

U. R. = (2/3)/6= 2/(3 *6)

U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.

B. (i) Method 1

Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,

U. R. = (number of scones)/(cup of flour)

U. R. = 6/(2/3) = (6 * 3)/2

U. R. = (6 * 3)/2 = 18/2

U. R. = 9 scones per cup of flour.

(ii) Method 2

Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:

2/3 cup of flour = 6 scones

1 cup of flour = x scones

By cross multiplying and solving:

x = (6 * 1) / (2/3)

x = (6 * 3) / 2

x = 18/2 = 9 scones per cup of flour.

6 0
3 years ago
Help with this question? I got half of it, but can't seem to get the other half. Please explain how you got your answer. Thanks!
AlladinOne [14]
<u>X - Intercept</u>
    x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
        x + 0 + 0 = 6
              x + 0 = 6
              <u>   - 0  - 0</u>
                    x = 6
X - Intercept: (6, 0, 0)

<u>Y - Intercept</u>
  x + 3y + 2z = 6
0 + 3y + 2(0) = 6
    0 + 3y + 0 = 6
    0 + 0 + 3y = 6
          0 + 3y = 6
        <u>- 0         - 0</u>
                <u>3y</u> = <u>6</u>
                 3     3
                  y = 2
Y - Intercept: (0, 2, 0)

<u>Z - Intercept</u>
x + 3y + 2z = 6
0 + 3(0)  2z = 6
  0 + 0 + 2z = 6
        0 + 2z = 6
      <u>- 0         - 0</u>
              <u>2z</u> = <u>6</u>
               2     2
                z = 3
Z - Intercept: (0, 0, 3)

<u>Volume of the X - Intercept, Y - Intercept, and Z - Intercept</u>
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
7 0
3 years ago
Read 2 more answers
Add fractions with unlike denominators
stealth61 [152]

Answer:

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Step-by-step explanation:

5 0
3 years ago
The function with a rate of change of 4/5 that has a value of 10 at x=10
Aleks [24]

Answer:

y = \frac{4}{5} x + 2

Step-by-step explanation:

Assuming you require the equation of the function.

The slope m is a measure of the rate of change of the function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{4}{5} , thus

y = \frac{4}{5} x + c ← is the partial equation

To find c substitute (10, 10) into the partial equation

10 = 8 + c ⇒ c = 10 - 8

y = \frac{4}{5} x + 2 ← equation of function

7 0
3 years ago
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