Answer:
18≤ 2.50x
because there is only so much money she is allowed to spend has to be less than or equal to 18
The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.
<h3>How to calculate the cash flow?</h3>
Number of period = 6 × 2 = 12
Rate = 4% / 2 = 2%
Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0
Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885
Annual cash flow × 10.5753 = $32348 - $5914
Annual cash flow × 10.5753 = $26434
Annual cash flow = 26434/10.5753
Annual cash flow = $2500
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Answer:
x= 60 y=50
Step-by-step explanation:
First to find x, all the degrees in a triangle add up to 180 degrees. So 50+70+x=180 which is also 120+x=180 which means x=60. Y is the exterior angle of x and a missing angle. Let's substitute the missing angle with the variable z. 60+50+z=180 which is 110+z=180 which means z is 70. So 180-x+z=y. 180-60+70=y which means y is equal to 50. Hope this helps!
Answer:
1/4 barrels of almonds
Step-by-step explanation:
(3/4)/3=(3/4)(1/3)=3/12=1/4
Answer:
1) gradient of f = (1/y)i+(-x/y^2)j
2) rate of change of f at P in direction of v = i - 1/16 j
3) maximum rate of change at P= (√17)/16
4) unit vector of maximum rate of change = 4/√17 i + 1/√17 j
Step-by-step explanation:
The explanation can be found in the attached picture
Note:
Since the gradient vector represents the direction of maximum change:
3) The maximum rate of change is the modulus of the gradient vector
4) The unit direction vector of maximum rate of change is the unit gradient vector.