Question

A sum of $31,000 was invested in three mutual funds. In one year, the first fund grew by 4%, the second by 5%, and the third by 7.5%. Total earnings were $1854. The amount invested in the third fund was $1000 less than the combined amount invested in the other two funds. Use a linear system of equations to determine the amount invested in each fund. Use the simple interest formula to calculate each fund's growth. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is one solution. The amount of the first part of the investment is $; The amount of the second part of the investment is $; The amount of the third part of the investment is $ (Type exact answers in simplified form.) B. There are infinitely many solutions. The amount of the first part of the investment is $; The amount of the second part of the investment is $; The amount of the third part of the investment is $z, where z is any real number. (Type exact answers in simplified form.) C. There is no solution.

          A sum of $31,000 was invested in three mutual funds. In one year, the first fund grew by 4%, the second by 5%, and the third by
7.5%. Total earnings were $1854. The amount invested in the third fund was $1000 less than the combined amount invested in the
other two funds. Use a linear system of equations to determine the amount invested in each fund. Use the simple interest formula to
calculate each fund's growth.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The amount of the first part of the investment is $; The amount of the second part of the
investment is $; The amount of the third part of the investment is $
(Type exact answers in simplified form.)
B. There are infinitely many solutions. The amount of the first part of the investment is $; The amount of the second part of
the investment is $; The amount of the third part of the investment is $z, where z is any real number.
(Type exact answers in simplified form.)
C. There is no solution.

A sum of 31,000 was invested in three mutual funds. In one year, the first fund grew by 4%, the second by 5%, and the third by
7.5%. Total earnings were $1854. The amount invested in the third fund was $1000 less than the combined amount invested in the
other two funds. Use a linear system of equations to determine the amount invested in each fund. Use the simple interest formula to
calculate each fund's growth.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The amount of the first part of the investment is; The amount of the second part of the
investment is ; The amount of the third part of the investment is
(Type exact answers in simplified form.)
B. There are infinitely many solutions. The amount of the first part of the investment is ; The amount of the second part of
the investment is; The amount of the third part of the investment is z, where z is any real number.
(Type exact answers in simplified form.)
C. There is no solution.

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