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Inessa05 [86]
3 years ago
9

Samantha invests a total of $26,500 in two accounts. The first account earned a rate of return of 14% (after a year). However, t

he second account suffered a 4% loss in the same time period. At the end of one year, the total amount of money gained was $1,910.00. How much was invested into each account?
Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

The correct answer is $16500 and $ 10000 each in two accounts.

Step-by-step explanation:

Samantha invests a total of $26,500 in two accounts.

Let Samantha invest $x in one account and $(26500 - x) in the other account.

The first account earned a rate of return of 14% (after a year).

Return earned = 14% of x

The second account suffered a 4% loss in the same time period.

Loss suffered = 4% of (26500 - x)

At the end of one year, the total amount of money gained was $1,910.00.

Therefore 14% of x - 4 % of (26500 - x) = 1910

⇒ 0.14x - 1060 + 0.04x = 1910

⇒ 0.18x = 2970

⇒ x = 16500

Therefore Samantha invested $16500 and $10000 each in two accounts.

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Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
AnnZ [28]
Almost got it!

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so x + 3 = (3y + 6)/2
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Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Step-By-Step Explanation:

1. Take 9 • 11 = 99

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7 0
3 years ago
Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e
worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

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Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

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Answer:

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