A farmer bought a scratch ticket and found out later that he won $1,800,000. After 30% was deducted for income taxes he invested the rest; some at 4.75% and some at 6.25%. If the annual interest earned from his investments is $72,135, find the amount he invested at each rate.

The amount invested in the investment that yields an interest rate of 4.75% is $441,000.

The amount invested in the investment that yields an interest rate of 6.25% is $819, 000.

What is the income tax paid by the farmer?

Income tax is the tax levied by the government on the income of individuals or companies.

Income tax = tax rate x income

30% x  $1,800,000

= 0.3 x  $1,800,000.

= $540,000

After tax income =  $1,800,000 - $540,000 = $1,260,000

System of equations that can be determined from the question

a + b =  $1,260,000 equation 1

0.0475a + 0.0625b = $72,135  equation 2

Where:

a = amount invested in the investment that yields an interest rate of 4.75%

b = = amount invested in the investment that yields an interest rate of 6.25%

What is the value of b?

In order to determine the value of b, take the following steps:

Multiply equation 1 by 0.0475

0.0475a + 0.0475b = 59,850 equation 3

Subtract equation 3 from equation 2

12,285 = 0.015b

Divide both sides of the equation by 0.015

b = $819, 000

What is the value of a?

a + $819,000 = $1,260,000

a = $1,260,000 - $819,000

a = $441,000

Step-by-step explanation:

Hii this is not my answer this was from another same question you asked but i hope this helps ^^

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

i dont know

step-by-step explanation:

umm. i dont know