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Natalka [10]
3 years ago
12

Quantitative Problem 2: Today, you invest a lump sum amount in an equity fund that provides an 10% annual return. You would like

to have $11,200 in 6 years to help with a down payment for a home. How much do you need to deposit today to reach your $11,200 goal
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

$6,322.11

Step-by-step explanation:

The future value of a lump sum (S) invested today at an interest rate 'r' for a period of 'n' years, if interest is compounded annually is:

FV = S*(1+r)^n

In order to obtain $11,200 after 6 years, the required investment at a 10% rate per year is:

11,200 = S*(1+0.10)^6\\S=\$6,322.11

You need to deposit $6,322.11 today in order to reach your goal in 6 years.

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What fraction of 16 is 12?<br>​
lisov135 [29]

Answer:

3/4

Step-by-step explanation:

7 0
3 years ago
Y/3 + 8 = -2 solve for y<br> a. -30<br> b. -18<br> c. 18<br> d. 30
Rainbow [258]

Answer:

\large\boxed{a.\ -30}

Step-by-step explanation:

\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30

5 0
3 years ago
Which system of linear inequalities is graphed?
ANEK [815]

To determine the system of inequality that has been graphed, we need to be very smart.


Observe that all the equations are the same.


Also note that all the lines are solid. This should tell you that the inequities should involve.


\ge \:or\: \le



Therefore the answer is between option A and B.



So we choose a point in the solution region to discriminate between A and B.


Let us choose the origin since that is easy to evaluate.


We substitute into option A to get.

y\le 3x-1\:and\: x+ 3y \ge 6




0\le 3(0)-1\:and\: 0+ 3(0) \ge 6




0\le -1\:and\: 0\ge 6


The above statements are false



We now substitute into option B



y\ge 3x-1\:and\: x+ 3y \le 6




0\ge 3(0)-1\:and\: 0+ 3(0) \le 6




0\ge-1\:and\: 0 \le 6


Both statements are true, therefore the correct answer is option B.




8 0
3 years ago
Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056
Vilka [71]
If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
5 0
3 years ago
Math inequality<br><br> y+ 3 &lt; 10
wariber [46]

Answer:

y <7

Step-by-step explanation:

Move all terms not containing y to the right side of the inequality.

4 0
2 years ago
Read 2 more answers
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