A school basketball team has an expense account and a fundraising account. After tt weeks, the balance of the expense account is (400−40t)(400−40t) dollars and the balance of the fundraising account is (150+32t)(150+32t) dollars.

a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after tt weeks.

An expression is (

550−72t) dollars.

b. What is the total amount (in dollars) in both accounts after 12 weeks?

Amount after 12 weeks: $

Question

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Respuesta :

skyluke89 skyluke89 · Answer 1 · 2018-12-04T09:50:35+01:00

Answer:

a. 550-8t

b. 454 dollars

Step-by-step explanation:

a. Calling t the number of weeks, the balance in the first account is

[tex](400-40t)[/tex]

while the balance in the second account is

[tex](150+32t)[/tex]

So, the total amount in both accounts is the sum of the balances of the two accounts:

[tex](400-40t)+(150+32t)=(400+150)+(-40t+32t)=550-8t[/tex]

b. To find the total amount in both accounts after 12 weeks, we just need to substitute t=12 into the total balance, and we find:

[tex]550-8t=550-8\cdot 12=550-96=454[/tex]

adelekeadewole adelekeadewole · Answer 2 · 2021-10-13T19:36:13+02:00

Answer:

a. 550-8t

b. 454 dollars

Step-by-step explanation:

a. Calling t the number of weeks, the balance in the first account is

(400-40t)(400−40t)

while the balance in the second account is

(150+32t)(150+32t)

So, the total amount in both accounts is the sum of the balances of the two accounts:

(400-40t)+(150+32t)=(400+150)+(-40t+32t)=550-8t(400−40t)+(150+32t)=(400+150)+(−40t+32t)=550−8t

b. To find the total amount in both accounts after 12 weeks, we just need to substitute t=12 into the total balance, and we find:

550-8t=550-8\cdot 12=550-96=454550−8t=550−8⋅12=550−96=454