The expresssion is also equivalent to the cost of the item? c-0.25 c which expression is also equivalent to the cost of the item? 1-0.25c 0.25c 0.75c 1-0.75c

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x  = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4  = (2 + 3)*4

 8   +  12  = (5)*4

    20        = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

70.30

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.