Compound Interest
Loans
Algebra
Optimization
100

If you invest $1000 in a account that pays 4% interest compounded monthly, how much money will you have in the account after 1 year?

$1040.74

100
The monthly payment on a loan paid back over 10 years at 6% interest is _______ half the monthly payment if it were paid back over 5 years at 6% interest.

more than

100

Solve for x (all values):

2x^2-18=0

x=\pm3

100

The x-coordinate of the vertex of a parabola

y=ax^2+bx+c.

x=-b/(2a)

200

If you invest $1000 in an account that pays 4% interest compounded monthly, how much money will you earn in interest after 5 years?

$221

200

What is the monthly payment on a 10 year $15,000 loan at 4% APR?

$152

200

Solve for x (all values):

x^2-3x-4

x=-1,4

200

When the vertex is a maximum of

y=ax^2+bx+c.

a<0

300

Approximately how long will it take to double an investment earning 4% interest?

72/4=18\ years

300

How much of a home loan can I afford so that my monthly payment is $700 month for 30 years at 4%?

$146,623

300

What is the quadratic formula?

x=(-b\pm\sqrt{b^2-4ac})/(2a)

300

When does a missile traveling the below path reach its maximum height?

h(t)=-2t^2+12t+24

t=3

400

How long will it take for an investment in an account that pays 4% APY to triple?

ln(3)/ln(1.04)=28\ years

400

If I take a $20,000 10-year loan for 4%, how much in interest do I end up paying back?

$4,299

400

Solve for x (all values):

x^2-3x+1

(3\pm sqrt(5))/2

400

If the Gazebo charges $4 for a burrito, they sell 100 per day. For each additional dollar, they sell 10 less. How much should they charge to maximize profit?

$7