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VikaD [51]
3 years ago
10

If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two inv

estments is $660 after one year?
$4,000
$4,500
$5,500

Pleasee help :)
Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

Answer:

$4,500

Step-by-step explanation:

Bingel [31]3 years ago
5 0
4,500 is the correct answer
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Ryan is opening up a bookstore, where he sells both new and old books. He
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Step-by-step explanation:

x= new books

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12.50x + 5.50y or 12.50(16) + 5.50(25)

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Please help me with the problem
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Nick is incorrect because he subtracted 3-1 and 3-2. The answer is 1 3/4 It is that distance because 3 2/4-1 3/4=1 3/4.

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3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
3 years ago
Solve the system of equations y=5x-1 y=9x-9
Leto [7]

Answer:

Look at the equations:

y

=

−

9

x

−

21

and

y

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5

x

+

7

Because both equations equal (y), they both equal the same.

If an equations says "

y

=

−

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" , that means we can replace (y) with

−

9

x

−

21

.

Therefore when i take the equation:

y

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5

x

+

7

, we can replace (y) to get:

−

9

x

−

21

=

5

x

+

7

Now isolate (x):

−

9

x

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21

=

5

x

+

7

⇔

−

21

=

14

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⇔

−

28

=

14

x

⇔

x

=

−

2

7 0
2 years ago
An object is moving at a speed of 6 miles per month. Express this speed in feet per hour
patriot [66]

Answer:

44 feet/hour

Step-by-step explanation:

6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)

Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.

7 0
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