To answer this item, we let x and y be the amounts (in mL) of the red and the brown dyes, respectively. The equations that would allow us to answer the question are,
x + y < 200
x ≤ 2y
The values of x and y in the inequalities are therefore 133.33 mL and 66.67 mL.
Answer:
27
Step-by-step explanation:
Hello,
11011 in base 2 is
1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10
which is 16 +8+2+1=27
Do not hesitate if you have any question
Answer:
-5x+13 given (-x+3)-(4x-10)
Answer:-5x+13
Step-by-step explanation:
We are going to distribute to get rid of the ( ):
-x+3-4x+10
Pair up like terms:
-x-4x+3+10
Combine the like terms:
-5x+13
Answer:
x=-6 y=-1
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = -x - 7
// Plug this in for variable y in equation [1]
[1] 3x - 2•(-x -7) = -16
[1] 5x = -30
// Solve equation [1] for the variable x
[1] 5x = - 30
[1] x = - 6
// By now we know this much :
x = -6
y = -x-7
// Use the x value to solve for y
y = -(-6)-7 = -1
Solution :
{x,y} = {-6,-1}
Answer: $59313.58
Step-by-step explanation:
We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-
, where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.
Given : Annuity payment deposit :A= $4500
rate of interest :r= 6%=0.06
No. of periods : m= 1 [∵ its annual]
Time : t= 10 years
Now we get,
∴ the accumulated amount of the annuity= $59313.58
