Monty borrowed $10,500 and promises to make three equal payments, one in 6 months, one in 12 months, and one in 18 months. if money is worth 10% compounded quarterly, what is the size of the equal payments? use 18 months as the focal date.

The money will be paid in three equal shares of $4056.48.

Step-by-step explanation:

This is a compound interest problem

Compound interest formula:

The compound interest formula is given by:

A: Amount of money(Balance)

P: Principal(Initial deposit)

r: interest rate(as a decimal value)

n: number of times that interest is compounded per unit t

t: time the money is invested or borrowed for

In our problem, we have

A: The amount of money that will have to be paid

P = $10,500(The initial money)

r = 0.1

n = 3(the money is compounded each 4 months, and there 12 months a year, so the money is compounded 3 times a year).

t = 1.5(18 months is a year and half)a year.

So:

$12,169.46 is the amount of money that Monty will have to pay. It will be paid in 3 equal shares of 12,169.46/3 = $4056.48.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

differentiate (x^14(x^-2)^4with respect to the variable

the parentheses don't balance in your input.

differentiate 0 with respect to

the final answer is

0

hope this