Mathematics, 06.05.2020 19:16 kuuleiisrad
Two princesses, Nat and Kat, are gifted with a savings account from their royal parents, Matt and Pat, when they turn 5 years old. The royal parents put a specific amount into each account annually such that Natâs account follows a linear model. Natâs savings account has an initial balance of when it is opened and each year on her birthday, Natâs parents put a constant amount into the account and never remove any money. Her account has $6200 when she is 7 and when Nat is 12, she has $21200 in her account.
a. Write a linear function N(t) for the amount of money, N, that Nat has in her account âtâ years after her 5th birthday.
b. Katâs account doesnât follow a linear model, but rather a quadratic model. On her 5th birthday, her parents open the account and then add money annually just like with Nat. Katâs parents plan is to add money so that her account maxes out at $44100 on her 25th birthday. At the age of 14, she has $32000. Write a quadratic function K(t) for the amount of money, K, in Katâs account âtâ years after her 5th birthday.
c. What age will both Nat and Kat have the same amount in their account?
Answers: 2
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