A business uses straight-line depreciation to determine the value y of a piece of machinery over a 10-year period. Suppose the original value (when t=0) is equal to $40,000 and it’s value is reduced by $4000 each year. Write the linear equation that models the value y of this machinery at the end of year t.

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Alicia puts $400 in a bank account. each year the account earns 5% simple interest. how much money will be in her bank account in six months?

Three times the sum of a number and seven is negative thirty-six. what is the number?