Question
Last year, Mai had $10,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $600 in interest. How much did she invest in each account?
185
likes927 views
Answer to a math question Last year, Mai had $10,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $600 in interest. How much did she invest in each account?
Maude
4.7107 Answers
1. Let \( x \) be the amount of money invested at 5%.
2. Let \( 10,000 - x \) be the amount of money invested at 10%.
We can set up the following equation for the total interest earned:
0.05x + 0.10(10,000 - x) = 600
3. Simplify and solve for \( x \):
0.05x + 1000 - 0.10x = 600
-0.05x + 1000 = 600
-0.05x = 600 - 1000
-0.05x = -400
x = \frac{-400}{-0.05}
x = 8000
4. Compute the amount invested at 10%:
10,000 - 8000 = 2000
so 8000 in 5% , 2000 in 10%
2. Let \( 10,000 - x \) be the amount of money invested at 10%.
We can set up the following equation for the total interest earned:
3. Simplify and solve for \( x \):
4. Compute the amount invested at 10%:
so 8000 in 5% , 2000 in 10%
Frequently asked questions (FAQs)
Math Question: Find the value of arccos(0.5) + arcsin(0.8) - arctan(2)
+
Math Question: What is the derivative of the function f(x) = 3x^4 - 2x^2 + 5x - 7?
+
Math Question: In triangle ABC, the angle bisector of angle B divides side AC into two segments, AB and BC, in the ratio 3:5. If AB = 12 units, what is the length of segment BC?
+
New questions in Mathematics