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 Nat’s account follows a linear model. Nat’s savings account has an initial balance of when it is opened and each year on her birthday, Nat’s 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 ‘t’ years after her 5th birthday.
b. Kat’s account doesn’t 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. Kat’s 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 Kat’s account ‘t’ 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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