Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Clare makes 6 goals and 3 penalties, ending the game with 6 points. Noah earns 8 goals and 9 penalties and ends the game with -42 points. Write equations and solve for how much goals and penalties are worth.

goal=6

panalty= -10

Step-by-step explanation:

6g+3p=6.    < multipilly by -3

8g+9p= -42

-18g - 9p = -18

8g+9p=-42

= -10g = -60

goals are worth 6 points

than you would plug the 6 back in either equation

6(6)+3p= 6

36 + 3p = 6

-36.           -36

3p=-30

p=-10

so panalties are worth -10 points

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.