The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
Answer:
y = 5.595090517 or approximately 5.6
Step-by-step explanation:
Tan47 = 6/y
y x Tan47/Tan47 = 6/Tan47
y = 5.595090517 or approximately 5.6
Answer:
First deposit - Same amount
Second deposit - Sylvia
Third deposit - Sylvia
Step-by-step explanation:
Leroi put $200 in their account. They will add $40 every week.
Deposit 1: $240
Deposit 2: $280
Deposit 3: $320
Sylvia put $200 in their account. They will add 20% of the amount in the account each week.
Deposit 1: $240 (20% of $200 is $40)
Deposit 2: $288 (20% of $240 is $48)
Deposit 3: $345.60 (20% of $288 is $57.60)
So, Sylvia and Leroi have the same amount of money in their accounts after the first deposit. After the second and third deposit, Sylvia has more money.
