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natima [27]
3 years ago
11

Theodore invests a total of $12,500 in two accounts. the first account earned a rate of return of 11% (after a year). however, t

he second account suffered a 2% loss in the same time period. at the end of one year, the total amount of money gained was $140.00. how much was invested into each account?
Mathematics
1 answer:
alexdok [17]3 years ago
3 0
Total amount was a surplus of 140 = 
Let X be first acc, Y be 2nd Acc. 
X + Y = 12500
11%X-2%Y= 140
11X-2Y=14000
13X= 39000
X=3000
Y=9500

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Lerok [7]

Answer:

\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

  • We know 1 \cdot 35 = 35, so two factors are 1 and 35.
  • We know 5 \cdot 7 = 35, so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  \frac{2}{6} = \frac{1}{3} since there are two factors and 6 possible options.

This means, logically, there is a  \frac{4}{6} = \frac{2}{3}  chance of not rolling a factor of 35.

Hope this helped!

5 0
3 years ago
What percent of 64 is 48?
melisa1 [442]
75% 
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8 0
3 years ago
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What is the value of X in the triangle attached?
Juliette [100K]

Answer:

X = 22°

Step-by-step explanation:

Accordng to Exterior Angle Sum Property , measure of an exterior angle is equal to the sum of the 2 interior opposite angles.

So,

(2x) + (103 - x) = 6x - 7

=  > x + 103 = 6x - 7

=  > 6x - x = 103 + 7

=  > 5x = 110

=  > x =  \frac{110}{5}  = 22

5 0
3 years ago
Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself. A. Find the so
Dvinal [7]

Answer:

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Step-by-step explanation:

A. The solution is 7! First I Subtracted 6 from both sides of the equation, Then I Divided both sides of the equation by the same term. Then I got "7" from doing the following.

B. The solution is the x in the answer which is the amount of juice he poured.

"Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself"

tell me if i did something wrong  

5 0
3 years ago
Read 2 more answers
Nine eighteenths plus one third
lisov135 [29]

Answer:

5/6

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find GCD (Greatest common denominator)

6

Step 4: Rewrite fractions

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Step 5: Add

5/6

6 0
2 years ago
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