Sofia and Manuel are purchasing a home. They wish to save money for 15 years and purchase a house that has a value of $200,000 with cash. If they deposit money into an account paying 5% interest, how much do they need to deposit each month in order to make the purchase? Round your answer to the nearest cent, if necessary.

Monthly deposit= $745.76

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $200,000

Number of periods= 15*12= 180 months

Interest rate= 0.05/12= 0.0042

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (200,000*0.0042) / [(1.0042^180) - 1]

A= $745.76

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.