Answer:
original price = 105.66
Step-by-step explanation:
35% off means she pays 100-35 = 65%
original price * 65% = 68.68
Change to decimal form
original price *.65 = 68.68
Divide each side by .65
original price *.65/.65 = 68.68/ .65
original price = 105.66
Answer:
b = {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.
In this question, we have:
m = 45 – 8b
b is the independent variable because the money, m, depends on the number of books, b, bought.
Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:
45 – 8b = 0,
8b = 45
b = 45/8 = 5.625
For the m, money, to remain positive b shouldn't go beyond 5.625
Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}
To determine the maximum height, h, from the given above. Differentiate the function and equate to zero. Then, determine the value of t. The value, when substituted to the original function, will give the maximum height. For this given,
dh(t)/dt = -32t + 128 = 0, t = 4
Substituting t = 4 to the original function gives 320. Thus, the maximum height is 320 units.
B………………………………;;,………………………….
