Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the total interest is $252, how much is invested in each savings account?
Answers
Answer:
- 7%: $1065
- 13%: $1365
Step-by-step explanation:
If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...
0.07x +0.13(x +300) = 252
0.20x = 213 . . . . . subtract 39
x = 213/0.20 = 1065
Lydia has $1065 invested at 7% and $1365 invested at 13%.
Final answer:
Using the given conditions, we set up and solve an equation where x is the amount invested at a 7% rate and x + $300 is the amount at a 13% rate. After solving, we find that Lydia has $1065 in the 7% account and $1365 in the 13% account.
Explanation:
Let's assume Lydia's investment at 7% to be x and her investment at 13% to be x + $300. Since the total interest is $252, we can create an equation to solve for the values of x.
The equation will look like this:
0.07x + 0.13(x + 300) = 252
Let's solve the equation:
0.07x + 0.13x + 39 = 252
Combine like terms to get 0.2x + 39 = 252
Subtract 39 from both sides to get 0.2x = 213
Divide by 0.2 to solve for x, which gives x = 1065.
So, Lydia has $1065 in the 7% account and $1065 + $300 = $1365 in the 13% account.
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Step-by-step explanation:
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Step-by-step explanation:
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39 problems?
Answers
The number of problems solved per hour is proportional to the number of team members solving the problems.
- The number of team members needed to solve 39 problems in one hour are 6 team members.
Reasons:
The time it takes 2 members to solve 13 problems = 1 hour
The rate at which each team member solve problems = The same rate
Required:
The number of team membersto solve 39 problems in 1 hour
Solution:
The time it takes 2 members to solve 13 problems = 1 hour
Let x represent the number of team members needed to solve 39 problems in 1 hour.
Using a proportional relationship approach, given that the duration is the same, we have;
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Learn more about proportions here:
Answer:
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Step-by-step explanation: