Y = -5/4x + b is the equation that represents a line that is perpendicular to the line 5y-4x=-15
If you want it in standard form, it is 5x+4y=-15
Answer:
The amount Tobie invests in a bank, P = $25
The annual compound interest rate, i = 4%
a. The principal is amount invested in the bank, P = $25
The annual interest rate, i = 4%
b. The function that represents Tobie's account balance, <em>A</em>, after <em>t</em> years is given as follows;

Where;
A(t) = The amount in the account after <em>t</em> years
P = The principal amount
i = The annual compound interest rate
t = The number of years
c. The values to place in the table are found as follows;
At t = 0,
= 25
At t = 10,
= 37
The given table is presented as follows;

Step-by-step explanation:
Multiply the first bracket by 6.
Multiply the second bracket by 8
6(x+1)-5x= 8+2(x-1)
6(x)+6(1)-5x= 8+2(x)+2(-1)
6x+6-5x= 8+2x-2
6x-5x+6= 8-2+2x
x+6= 6+2x
Move +2x to the other side. Sign changes from +2x to -2x.
x-2x+6= 6+2x-2x
-x+6= 6
Move +6 to the other side. Sign changes from +6 to -6.
-x+6-6= 6-6
-x=0
Multiply by -1 for -x and 0
-x(-1)= 0(-1)
x= 0
Answer: x= 0
Answer:
(2,2) and (3,1)
Step-by-step explanation:
Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us

We can factor the expression on the right to get us

Solving
and
gets us the solutions
, which we can plug into the second equation to get us

So, our solution set is the pair of points (2,2) and (3,1)