Sam invested $1800, part of it at 6% and the rest at 8% yearly interest. the yearly income on the 8% investment was $24 more than twice the income from the 6% investment. how much did he invest at each rate?

Sam invested $1200 at 8% and $600 at 6%

Step-by-step explanation:

A linear system with two equations can be modeled from the information given. Let 'x' be the amount invested at 8% and 'y' the amount invested at 6%

The sum of both amounts invested at an 8% rate and 6% rate equals 1800

The yearly income on the 8% investment was $24 more than twice the income from the 6%

Solving the linear system:

Sam invested $1200 at 8% and $600 at 6%

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.