Answer:
- x +y = 500
- 0.65x +0.95y = 0.75(500)
- solution: (x, y) = (300, 200)
Step-by-step explanation:
A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.
<h3>Setup</h3>
Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.
x + y = 500 . . . . . . quantity of new alloy needed
0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy
These are the desired system of equations.
<h3>Solution</h3>
This problem does not ask for the solution, but it is easily found using substitution for x.
x = 500 -y
0.65(500 -y) +0.90y = 0.75(500)
(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)
y = 500(0.10/0.25) = 200
x = 500 -200 = 300
300 grams of 65% copper and 200 grams of 90% copper are needed.
There are 52 weeks a year
In 2 years there are 104 weeks
Total paid
35×104=3,640
markup rate
((3,640−2,400)÷2,400)×100=51.7%
It's b
Answer:
-11
Step-by-step explanation:
Convert -3 2/3 to -11/3
-11/3÷1/3
Dividing by 1/3 is the same as multipling by 3
so the equation becomes
(-11/3)(3)
=-11
Answer:
Distance cd= root of (x1-y1)+(x2-y2).
Step-by-step explanation:
Given:
A bond with an annual coupon rate of 4.8%, bond value is $970. The bond's current yield can be calculated using this formula:
i = F<em>i</em><em>b
</em><em>
</em>where i = bond <em />yield<em>
</em>F = $970
<em>ib </em>= 4.8%
i = 970*(0.048)
i = $46.56
