X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
Answer: a. Radius of circle = 
b. The equation of this circle : 
Step-by-step explanation:
Given : Center of the circle = (3,10)
Circle is passing through (12,12).
a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)
Radius of circle = 
Radius of circle = 
i.e. Radius of circle =
b. Equation of a circle = 
, where (h,k)=Center and r=radius of the circle.
Put the values of (h,k)= (3,10) and r= , we get
∴ The equation of this circle :
The cash price of the car includes the amount of the loan plus the amount of the down payment
Cash price=the loan of the car+down payment
First find the amount of the loan by using the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv the amount of the loan ?
PMT payment per month 355
R interest rate 0.071
K compounded monthly 12
N time 5years
Pv=355×((1−(1+0.071÷12)^(−12
×5))÷(0.071÷12))
=17,885.56
Cash price=17,885.56+2,500
=20,385.56....answer
Answer: M(1, -3)
Step-by-step explanation: Put coordinates on graph
