Three friends decide that they each want to be able to buy a new bike in four years. IIiana puts $500 in a savings account with a simple interest rate of 4%. Joann invests S515 in a standard savers account with a simple interest rate of 3%. Cyndy invests $500 in a junior achievers account with a 3.5% compound interest rate.
Using the formula - Prt for simple interest and A-P(1+r) for compound interest, who will have the most money to s

1. a new bike at the end of the four years?
2. Joann will have the most money, $576.80 for the bike
3. Cyndy will have the most money, $580.00 for the bike.
4. Cyndy will have $576.80, the most money for the bike
5. Wana will have $580.00, the most money for the bike.

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)