Equation given:
15x - 6y = 48
First, turn 15x into -15x and plug it into 48.
15x - 6y = 48
-15x -15x
The equation should look like this:
-6y = -15x + 48
Divide -6y to 48 and -15x.
y = - 8
8.75x=61.25
x represents the hours he worked
to get (x) you have to divide both sides by 8.75
so
×=7
Jose worked for 7 hours
D. you have to construct the angle bisectors from two vertices on the triangle and then once you find the incenter you construct a perpendicular bisector from the incenter to one of the sides and then set the width to the intersection on the line and draw a circle.
A and F are the only set of ordered pairs that work in both of the equations above. In order to find these you must place them into each equation and check for truth. Below is the work for A and F.
Ordered Pair A : (0,6)
y > 6x + 5
6 > 0 + 5
6 > 5 (TRUE)
y < -6x + 7
6 < 0 + 7
6 < 7 (TRUE)
Ordered Pair F : (-2, 18)
y > 6x + 5
18 > - 12 + 5
18 > -7 (TRUE)
y < -6x + 7
18 < 12 + 7
18 < 19 (TRUE)
Answer: C.$10,000
Step-by-step explanation:
Assuming the interest was compounded annually, then we would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $31066
r = 6.5% = 6.5/100 = 0.065
n = 1 because it was compounded once in a year.
t = 18 years
Therefore,
31066 = P(1+ 0.065/1)^1 × 18
31066 = P(1.065)^18
31066 = 3.12P
P = 31066/3.12
P = $9957.1
Approximately $10000 to the nearest dollar