Three individuals form a partnership and agree to divide the profits equally. X invests \( \$ 9,000, \mathrm{Y} \) invests \( \$ 7,000, \mathrm{Z} \) invests \( \$ 4,000 \). If the profits are \( \$ 4,800 \), how much less does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z ?

Se requiere comprar dentro de 12 meses un nuevo equipo de ordeño. Se proyecta que el valor del equipo será de \( \$ 450.000 \). considerando una tasa de \( 9 \% \) capitalizable bimestralmente, ¿Cuál será el monto de los depósitos que se debe realizar al inicio de cada bimestre para disponer de dicha suma? \( (5 \text { puntos })^{*} \)

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for \( \$ 119200 \). The company depreciates the bulldozer linearly over its useful life of 21 years. Its salvage value at the end of 21 years is \( \$ 16300 \). A) Express the value of the bulldozer, \( v \), as a function of how many years old it is, \( t \). Make sure to use function notation. B) The value of the bulldozer after 19 years is \( \$ \)

DETAILS MY NOTES AUFEXC4 11.2.047. A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have \( \$ 41,000 \) when the child reaches the age of 18 ? Assume the money earns \( 7 \% \) interest, compounded quarterly. (Round your answer to two decimal places.) \( \$ \square \)

Samuel abrió una cuenta bancaria en la que depositó \( \$ 10.000 \) mensuales durante 15 años para utilizarlos en la universidad de su hijo; el dinero permaneció en el banco durante 3 años más pero no se realizó ningún depósito adicional. Si la tasa de interés durante todo el periodo fue de \( 6 \% \) capitalizable mensualmente. ¿Cuál fue el monto ahorrado por Samuel? (5 puntos) *

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for \( \$ 106450 \). The company depreciates the bulldozer linearly over its useful life of 17 years. Its salvage value at the end of 17 years is \( \$ 18050 \). A) Express the value of the bulldozer, \( V \), as a function of how many years old it is, Make sure to use function notation. B) The value of the bulldozer after 5 years is \( \$ \)