(I'LL MARK U BRAINLIEST BUT PLS HELP FIRST) Care packages cost $6.25 each and certificates cost $4.50 each. Mr. Fernandes has a budget of $550 to purchase both care packages and certificates. If he purchases 45 certificates, what is the maximum number of care packages he can purchase?

A) State maximum number of care packages he can purchase
B)Explain how you got it

55

Step-by-step explanation:

find how much it costs to buy 45 certificates, subtract that from the original budget then divide that by 6.25 and remove the decimals

He can buy up to 55 care packages

Step-by-step explanation:

c = certificates

p = packages

6.25p + 4.50c ≤ 550

c = 45

6.25p + 4.50(45) ≤  550

6.25p + 202.50 ≤  550

Subtract 202.50 from each side

6.25p + 202.50 -202.50 ≤  550-202.50

6.25p  ≤  347.50

Divide each side by 6.25

6.25p/6.25  ≤  347.50/6.25

p  ≤  55.6

Since we cannot buy part of a care package

p ≤55

i think the answer would be c

(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.