The NPV of this investment if the discount rate is 10 percent is: 1.58%.
<h3>Net present value (NPV)</h3>
Year Cash flow PVIF 10% Present value
0 ($11.86) 1.000 ($11.86)
1 1.90 0.909 $1.73
2 1.90 0.826 $1.57
3 1.90 0.751 $1.43
4 1.90 0.683 $1.30
5 1.90 0.621 $1.18
6 1.90 0.564 $1.07
7 1.90 0.513 $0.98
8 1.90 0.467 $0.89
9 1.90 0.424 $0.81
10 6.45 0.386 $2.49
NPV $1.58
1.9+5.25-2×35%=6.45
Hence, the NPV is $1.58.
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Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.
Given profit,
p(t)=0.4t^2+5.3t-8
After the first year, t=1
p(1)=0.4*(1^2)+5.3*1-8=-2.3
Answer: the annual loss of the coffee shop after the first year (i.e. the second year) is $2,300.
Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let


Given
Lifeguard job


Camp counselor job


Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard


Camp counselor


Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days


So, the pay for each is:


--- Lifeguard


--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)

<em>Hence, lifeguard job pays more</em>