Collage Costs The average annual cost of college at 4 − year private colleges was $ 34 , 740 in the 2017 − 2018 academic year. This was a 3.6 % increase from the previous year. If the cost of college increases by 3.6 % each year, what will be the average cost of college at a 4 − year private college for the 2037 − 2038 academic year? College savings plans, such as a 529 plan, allow individuals to put money aside now to help pay for college later. If one such plan offers a rate of 2 % compounded continuously, how much should be put in a college savings plan in 2019 to pay for 1 year of the cost of college at a 4 − year private college for an incoming freshmen in 2037? Source: The College Board
Collage Costs The average annual cost of college at 4 − year private colleges was $ 34 , 740 in the 2017 − 2018 academic year. This was a 3.6 % increase from the previous year. If the cost of college increases by 3.6 % each year, what will be the average cost of college at a 4 − year private college for the 2037 − 2038 academic year? College savings plans, such as a 529 plan, allow individuals to put money aside now to help pay for college later. If one such plan offers a rate of 2 % compounded continuously, how much should be put in a college savings plan in 2019 to pay for 1 year of the cost of college at a 4 − year private college for an incoming freshmen in 2037? Source: The College Board
Solution Summary: The author calculates the average cost of college at a 4 -year private college for the 2037-2038 academic year.
Collage Costs The average annual cost of college at
4
−
year private colleges was
$
34
,
740
in the
2017
−
2018
academic year. This was a
3.6
%
increase from the previous year.
If the cost of college increases by
3.6
%
each year, what will be the average cost of college at a
4
−
year private college for the
2037
−
2038
academic year?
College savings plans, such as a
529
plan, allow individuals to put money aside now to help pay for college later. If one such plan offers a rate of
2
%
compounded continuously, how much should be put in a college savings plan in
2019
to pay for
1
year of the cost of college at a
4
−
year private college for an incoming freshmen in 2037?
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
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