Answer:
Step-by-step explanation:
√121 = 11
√900 = √30^2 = 30
∛125 = ∛5^3 = 5
∛729 = ∛9^3 = 9
Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
7a=4(2a+11)-a
7a=7a+44
7a-7a=7a+44-7a
0=44
no solutions
Answer: y = 6
Explanation:
Find area of 1 square:
180/5 = 36
Find the side length of the square:
Sqrt 36 = 6
Answer:
Selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .
Step-by-step explanation:
Let us assume that the selling price of hockey game set be x .
As given
Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set.
45% is written in the decimal form .

= 0.45
Thus the equation becomes
0.45 × x = 65.34
0.45x = 65.34

x = 145.2
Therefore the selling price of the hockey game set is $145.2 .
Thus
Markup price = Selling price + Overhead Price
= $145.2 + $65.34
= $ 210.54
As given
If the air hockey game set costs Pyotr Tchaikovsky Sports $49.32 .
i.e Cost price of the hockey game set = $ 49.32
Profit = Selling price - Cost price
= 145.32 - 49.32
= $ 96
Therefore selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .