Answer:
$17,500 was invested in the account that gained 10% and
$11,000 was invested in the account that lost 4%
Step-by-step explanation:
<u>Define the variables</u>:
- Let x be the money invested in the account that gained 10%.
- Let y be the money invested in the account that lost 4%.
<u>Given information:</u>
- $28,500 = total amount invested between the two accounts
- $1,310.00 = total amount gained
<u>Percentages in decimal form:</u>
Create a system of equations using the given information and defined variables:
<u>Rewrite</u> Equation 1 to make y the subject:
<u>Substitute</u> into Equation 2 and <u>solve for x</u>:
<u>Substitute</u> the found value of x into Equation 1 and <u>solve for y</u>:
<u>Conclusion</u>
$17,500 was invested in the account that gained 10% and
$11,000 was invested in the account that lost 4%
Learn more about systems of equations here:
brainly.com/question/27930827
B. Because it’s acute angle facing down towards bottom
So, what we need to do is find out the chance you will pull an M or an L out of the scrabble bag on your next turn.
Our first step is finding out how many pieces total are in the bag. This will become the denominator in our answer. To do this, we just need to add up all the pieces we know are in the bag! From the question, we know there are <span>5 As, 3 Es, 1 Z, 2 Ms, 3 Ls, and 1 <span>Y left in the bag. So 5 + 3 + 1 + 2 + 3 +1 should give us 15 total pieces to pick from.
Next, we need to know the total of Ls and Ms left in the bag that we want to pick. This number will be the numerator in our answer. From the question, we know there are 2 Ms and 3 Ls in the bag. Because 2+3 = 5, that means out final fraction for this problem should be 5/15!
Unfortunately, that is not an actual answer for the question, so that means we have to simplify by finding the biggest number that goes into both the top and bottom of our fraction. To get 5, we can only use the numbers 1 and 5. To get 15, we can use 1, 3, 5, and 15. From this, it looks like both the top and the bottom are divisible by 5. When we divide the top by 5 we end up with a 1, and when we divide the bottom by 5 we end up with a 3, meaning our final fraction is D) 1/3!</span></span>
<span>1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
1/3x + 1/2y < or equal to 4.
Hope this helps!</span>