Eloise invested at 3.5% pa simple interest over 4 years. If her total interest is $910, how much did she originally invest?

$798.25

Step-by-step explanation:

For this problem, we will use a modified version of the simple interest formula:

A = total amount

r = interest rate (decimal)

t = time

First, change 3.5% into a decimal:

3.5% -> -> 0.035

Now, lets plug the values into the equation:

Eloise originally invested $798.25

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is