Step-by-step explanation:
<em>1st year</em>:
(1200 x 3.5 x 1) ÷ 100 = $42
<em>2nd year:</em>
(1242 x 3.5 x 1) ÷ 100= $43.47
<em>3rd year:</em>
(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45
<em>4th year:</em>
(1330.47 x 3.5 x 1) ÷ 100= $46.56
Compound interest:
$(42 + 43.47 + 45 + 46.56)
=<u>$ 177.03</u>
Answer:
0
Step-by-step explanation:
First, you have to plug it into the formula to find the slope.
=
Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.
Answer:
x+y=9....(i)
2x-6=y....(ii)
then putting the value of y in (i) eqn
x+2x-6=9
3x=15
x=5
Now, putting the value of x in (ii) eqn
then 2*5- 6 =4
Step-by-step explanation:
SO the value of x is 5 and y is 4
HOPE IT HELPS YOU....❤
a. R\p = (10 - q)*2
The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:
p = (10 - q)*2
b. R\25
The price for 5 units of output is given by the inverse demand function:
p = (10 - 5)*2 = 10
We replace p in the profit function:
π(q) = 10 * 5 - 5² = 25
c. 3
For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:
π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²
dπ/dq = 20 - 6*q
20 - 6q = 0
q = 20/6 = 3.33333
Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:
π(3) = 20 * 3 - 3*(3)² = 33
π(4) = 20 * 4 - 3*(4)² = 32
The answer is 3.
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
brainly.com/question/1972490
