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Ivenika [448]
3 years ago
11

What's the answer to this problem?

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0
The answer to this question is < (0.36)
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You plan to accumulate 100,000 at the end of 42 years by making the follow-
Mariana [72]

Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

  A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

  Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

  Ax +Ay = 100,000

  X - Y = 100

From the latter, we have ...

  X = Y +100

So the first equation becomes ...

  160.429967(Y +100) +14.783599Y = 100000

  175.213566Y +16,043.00 = 100,000

  Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0
2 years ago
Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?
Andru [333]
You are X, if your friend is 1.2 times taller than you= 1.2X
That's why 64.5=1.2X
                   X=53.75
But you should write 53.8 inches tall. Because there is one number after point.
<span>As a result, you are 53.8 inches tall


</span>
6 0
3 years ago
10 times 10 = ?<br> 100 times 100 = ?
lubasha [3.4K]

Answer:

10 times 10 = 100

100 times 100 = 10000

Step-by-step explanation:

10 times 10

= 10 x 10

= 100

100 times 100

= 100 x 100

= 10000

3 0
2 years ago
Read 2 more answers
2. In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students
Alja [10]

Answer:

<u>60</u> students are involved in either band or sports.

<u>95</u> students  are not involved in either sports or band.

Step-by-step explanation:

Given:

In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students  participate in both activities.

Now, to find the students  are involved in either sports or band. And students who are not involved in either sports or band.

<em>Total number of students</em> = 320.

Number of students in the band = 85.

Number of students in the sports team = 200.

Number of students participate in both activities = 60.

Thus, 60 students are involved in either band or sports.

So, the number of students in the band adding number of students in the sports team we get:

200 + 85 = 285.

Then, to subtract the number of students participate in both activities we get:

285 - 60 = 225.

<em>Thus, the remaining students are </em>= 225.

Now, to get the students  who are not involved in either sports or band we subtract the total number of students from the remaining students:

320-225

=95.

Therefore, 60 students are not involved in either band or sports. 95 students  are not involved in either sports or band.

8 0
2 years ago
Simplify: (−2)3 · (−2)4 <br> A) (−2)12 <br> B) (−2)7 <br> C) 212 <br> D) 27
Dahasolnce [82]
Since both sides have a -2 in then you can pull it out making the equation -2(3*4) which equals -2(12) so A is correct
3 0
2 years ago
Read 2 more answers
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