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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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Find f(t – 3) for f(x) = 4x2 – 8x + 4.
GarryVolchara [31]

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

=  4t^2 - 32t + 64.

5 0
2 years ago
When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea
Furkat [3]
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient (_{7} ^{10}); in general a binomial coefficient is written by:
(_{k} ^{n})= \frac{n!}{k!(n-k)!}

In which n and k are positive integers, such that n\ \textgreater \ k.

So, for this problem:
(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120

Hence, there are 120 different ways to make the fruit salad.
5 0
2 years ago
Which point is a solution to the inequality shown in this graph?
Rina8888 [55]

Answer:

D

Step-by-step explanation:

It is on the line so it is a solution, hope this helps

6 0
2 years ago
Read 2 more answers
A. (H, 1) (H, 2) (H, 3) (H, 4) (H, 5), (T, 1) (T, 2) (T, 3) (T, 4) (T, 5)
grigory [225]
B
m,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
7 0
2 years ago
21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

A = P(1 + \frac{r}{100})^{n}

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

so

we have

A = 475(1 + \frac{3.8}{100})^{4}

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

5 0
3 years ago
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