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skelet666 [1.2K]
3 years ago
15

Gary won $70,000 in the lottery after all tax deductions. He invested part of the money at 11% and deposited the remainder in ta

x-free bonds at 12%. His total annual income from the investments was $7900. Find the amount invested at 11%. Find the amount invested at 12%.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
X - invested for the money at 11%
70 000 - x - deposited at 12%

0.11x + 0.12(70000-x)=7900
0.11x + 8400 - 0.12x = 7900
8400- 7900 = 0.01x
500 = 0.01x
x=50 000 invested at 11%
rest (20K) invested at 12%
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3 years ago
How to equivalent 64 1/2​
bagirrra123 [75]

Answer:

129/2

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      1                129

64  ---     =       -------

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To find the improper fraction, you multiply the denominator by the whole number and then add the numerator.  In the end, you put that answer over the starting denominator.

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3 years ago
If a4 = 625, what does (a) equal?
Reika [66]

I'm assuming you meant to write a^4 = 625.

If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2

So we go from this

a^4 = 625

to this

(a^2)^2 = 25^2

Apply the square root to both sides and you'll end up with: a^2 = 25

From here, apply the square root again to end up with the final answer: a = 5 or a = -5

As a check:

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4 0
3 years ago
Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
guapka [62]

Answer:

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Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

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Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

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Now,

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Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

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∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0
3 years ago
Troy’s canoe is 18 feet long. Ariel’s canoe is 5\6 the length of Troy’s canoe.
sukhopar [10]
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