Let x = the amount invested a 5% and 17,000 - x = the amount invested at 6.5%. Now you can write the equation:
<span>0.05x + [0.065 (17,000 - x)] = 970 </span>
<span>Solve for x to get the amount invested at 5% and 17,000 - x will = the amount invested at 6.5% </span>
<span>x = 9,000 </span>
<span>17,000 - 9,000 = 8,000</span>
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Answer:
Y2-y1/x2-x1
Step-by-step explanation:
The rate of change is the same thing as slope. So you would do the same thing as you would for slope.
Ex. you have two coordinate points. (4,4) (5,9)
y2 would be 9
y1 would be 4
x2 would be 5
x1 would be 4
so you would do 9-4=5
then 5-4=1
So your rate of change/slope would be 5/1 or 5
Mean is 30,median is 30.5,mode is 31.