Answer:
Solution is (1,7).
Step-by-step explanation:
We need to find the solution of the system of following equations.
y= 5x + 2 eq(1)
3x = -y +10 eq(2)
We will solve the equations using Substitution method to find the values of x and y
we put value of y from eq (1) into eq (2), The eq(2) will be:
3x = - (5x + 2) + 10
3x = -5x -2 +10
3x+5x = -2+10
8x = 8
x= 1
Now, putting value of z in eq(1) to find value of y
y = 5x +2
y = 5(1) + 2
y = 5+2
y = 7
So, Solution is (1,7).
If I counted correctly, the answer would be 52/150. You just need to simplify the fraction. I'll recount soon, and update if it changes.
The record number was 275 tires.
165/x=60/100
165 times 100=16500
16500/60=275
x=275
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer:
$14,277.80
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $7,400
t = 8 years
n = 4 (quarterly)
r = 9.5% = 0.095
Using equation 1.
A = $7,400(1+0.095/4)^(4×7)
A = $7,400(1.02375)^(28)
A = $7,400(1.929432606035)
A = $14,277.80
final amount/value after 8 years A =$14,277.80