GIANNA WAS AWARDED $37,000 FOR WINNING HER SCHOOL COMPETITION. SHE DECIDED TO INVEST HER WINNINGS IN TWO DIFFERENT ACCOUNTS ONE EARNING 4% the other earning 8%interest. If she collect $2480. Of annual interest income, how much did she invest in each account

 Gianna invested $12000 in first account and $25000 in second account .

Step-by-step explanation:

Given: Total principal amount = $37,000

Interest = $2480

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first account ,  interest rate= 4% = 0.04

Let Principal = x

Interest = 0.04x

For second account ,  interest rate=  8% =0.08

Let Principal  = 37000-x

Interest = 0.08(37000-x)=  (0.08)(37000)- 0.08x

= 2960 - 0.08x

Now,

Also,  37000-x = 37000-12000 =25000

Hence, Gianna invested $12000 in first account and $25000 in second account .

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18