Which expression should replace the box to finish the expanded form of 387.926? 2 × 1100

20

0.02

20 × 110

0.02

(or 2 x 1/100)

Step-by-step explanation:

Number:

387.926

The number '2' in this number is in the hundredth place.

*Remember, it is a decimal so in expanded form it is multiplied by a fraction*

Therefore, it is written as 2 x 1/100 or 0.02

(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.