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algol13
3 years ago
7

Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later?

Show both the value and evidence of the thinking you used to calculate the value of the investment.
Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

$57400

Step-by-step explanation:

Given data

P= $10,000

R= 6%

T= 30 years

Let us Assume the investment is compounded Anually

A= P(1+r)^t

A=10000(1+0.06)^30

A=10000(1.06)^30

A=10000*5.74

A=$57400

Hence the Final Amount after 30 years compounded anually is $57400

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At 5.45p.M .,lixin,khairul and Devil are at the starting point of a 1-km circular path. Lixin Takes 18 minutes to walk one round
sweet [91]

Answer:

Meeting\ Time = 6:03\ pm

Step-by-step explanation:

Given

Start\ Time= 5:45pm

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Devi = 4minutes/2\ rounds

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Convert 360 seconds to minutes

Khairul = \frac{360}{60} min/round

Khairul = 6 min/round

Devi = 4minutes/2\ rounds

Divide by 2/2

Devi = 2mins/round

So, we have:

Lixin = 18\ min/round

Khairul = 6 min/round

Devi = 2mins/round

Next, is to determine the LCM of 18, 6 and 2

18=2 * 3 * 3

6 = 2 * 3

3 = 3

Their LCM is:

LCM = 2 * 3 * 3

LCM = 18

This means that they will meet 18 minutes after their initial time of departure.

So:

Meeting\ Time = 5:45\ pm + 18\ minutes

Meeting\ Time = 6:03\ pm

3 0
3 years ago
What is the slope of the line shown?<br><br> -7/9<br> 9/7<br> 7/9<br> -9/7
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To find slope, we must find the change in y values divided by the change in x values, also called the rise/run. This is modeled below:

Slope = m = (y1 - y2)/(x1-x2) = (6-(-3))/(1 - (-6)) = (6+3)/(1+6) = 9/7

We can check that this answer is correct by consulting the graph. The graph shows a positive correlation (means that the slope should be positive), and if you count the graph unit squares, you get that the graph moves up 9 squares and over 7 squares between the two points shown, letting us know we got the right answer.

Hope this helps!

7 0
4 years ago
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Answer:

2.5

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10/4

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