3. i'm more sophisticated than my little sister so i save my money in a bank account that pays me
3% interest on the money in the account at the end of each month. (if i take my money out
before the end of the month, i don't earn any interest for the month.) i started the account with
$50 that i got for my birthday. use a table, a graph, and an equation to create a mathematical
model of the amount of money i will have in the account after m months.
4. at the end of the summer, i decide to drain the 1500 gallon swimming pool. i noticed that it
drains faster when there is more water in the pool. that was interesting to me, so i decided to
measure the rate at which it drains. i found that 3% was draining out of the pool every minute,
use a table, a graph, and an equation to create a mathematical model of the gallons of water in
the pool at t minutes,

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

x=-2

step-by-step explanation:

i began by flipping the problem to give me x= on the left (keeps it clearer for me).   so my problem simply became 10x-3=4x-6.  

1)   subtract 4x from the right side, which equals 0.   you do the same to the left of the equal as the right; therefore, subtract 4x from 10x, leaving 6x on the left.

              10x-3=4x-6   :   4x-4x on the right leaves only the -6        

2)             6x-3= 0-6 :    

                6x+3=   -6

3) divide