Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
Similar to compound interest:

Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that 
After 12 years is A(12). So



Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So
.
After 12 years.



Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16
Answer:
y = 7/5x + 18/5
Step-by-step explanation:
so we have y = mx + b
f(1) = 5
f(-4) = -2
so let's find b
so like if you do (5 - (-2))/(1 - (-4)) you get (5 + 2)/(1 + 4) = 7/5
y = 7/5x + b
so now we can plug in a value like f(1) = 5
5 = (7/5)1 + b
b = 18/5
Answer:
1) 4
2)I think 2
3)4
4)3
5)2
6)1
7)3
Step-by-step explanation:
1) since the x is to squared it is a quadratic equation
3) A and D have same slope=0.5
others were solved using Excel