Last year Sarah invested money in two accounts. The first account had an interest rate of 4%4% and the second account had an interest rate of 3%3%. If she invested $700$⁢700 more in the first account than the second and her total interest income was $392$⁢392, how much did she invest at each rate?

Last year Sarah invested money in two accounts. The first account had an interest rate of 3%3% and the second account had an interest rate of 2%2%. If she invested $600$⁢600 more in the first account than the second and her total interest income was $388$⁢388, how much did she invest at each rate?Step 3 of 3: Solve the equation found in part 2 for x. Use this information to answer the given word problem.

Last year Rachel invested money in two accounts. The first account had an interest rate of 6%6% and the second account had an interest rate of 4%4%. If she invested $800$⁢800 more in the first account than the second and her total interest income was $238$⁢238, how much did she invest at each rate?Step 2 of 3: Use the table from part 1 to help write a linear equation that represents the given word problem. (Use x to represent the unknown quantity.) Do not simplify your answer.

Two investments totaling $38,500$⁢38,500 produce an annual income of $2805$⁢2805.  One investment yields 3%3% per year, while the other yields 9%9% per year. How much is invested at each rate?

Naomi invested $860 in an account paying an interest rate of 3, start fraction, 3, divided by, 4, end fraction3 43​ % compounded monthly. Matthew invested $860 in an account paying an interest rate of 4, one quarter4 41​ % compounded annually. After 10 years, how much more money would Matthew have in his account than Naomi, to the nearest dollar?

Last year, Matías had US$30.000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of US$1830 in interest. How much did he invest in each account?