Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary. 7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?

8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?

9. The population of a town increased from 620 to 700. What is the percent of increase?

10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?

11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?

12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?

13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?

14. Shawn earned a 5% commission on a $500 sale. How much did he earn?

15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?

sorry I don't know

Step-by-step explanation:

7. St eve got 32 points

8. IS 25%, YOU FI ND OUT BY D IVIDI  NG 8760/100=87.60 WHICH REPR  ESENTS 1 PER CENT  AND THEN 21 60/87.60=25%

ALSO, IF YOU DIVIDE 8760/2190=4, SO THIS RE PRES   ENTS 25%

HOPE IS CLEAR

9. 12.9%

10. 23% of 25,314 = 25,314 x .23 = 5822 then add that to the origi nal pop ulation. 25,314 + 5,822 = 31,136

11. 22% d ecrea se. Jo el is con su ming 7 8% of the amo unt of ca lor ies he previou sly c ons umed.

12. 56.71

13. Id k

14. $25

15. 1.77

Step-by-step explanation:

Take the total score and multiply by the perce ntage recei ved

40 * 80%

Chan ge to dec imal for m

40 * .80

32

S teve  got 32 points

14. 5% of 500 = 0.05 × 500 = 25

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

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4