Microscope magnifies an object 10^5 times. the length of an object is 10^-7 meter. what is it’s magnified length?

10⁻² m

Step-by-step explanation:

A microscope magnifies an object 10⁵ times. The length of an object is 10⁻⁷ meters. The magnified length is:

10⁵ × 10⁻⁷ m

We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

10⁵ × 10⁻⁷ m = 10⁵⁺⁽⁻⁷⁾ m = 10⁵⁻⁷m = 10⁻² m

The magnified length is 10⁻² m.

(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.