Nicole has counted the change in her piggy bank and discovered that she has a total of 87 nickels, dimes and quarters worth a total of $11.50. She has the more dimes than nickels. How many of each coin does she have?

(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.

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a

if i knew id you bro,, my bad

answer: 104.283185

step-by-step explanation:

3.14159265359 + 3.14159265359= 6.28318530718

since you're subtracting 3 twice, i'm just gonna say -6

6.28318530718 - 6 = 0.28318530718

0.28318530718 + 5 = 5.28318530718

5.28318530718 + 99 = 104.283185307