Angie’s Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 10% of the cookies will crack and
2 answers:
Answer:
$ 3.43
Step-by-step explanation:
Given,
Total cookies = 100,
Cost price of each cookie = $ 2,
So, the total cost price = $ 200,
After marking up the price by 60%,
Total selling price = (100+60)% of 200
= 160% of 200
= $ 320
Out of 100 cookies 10% are cracked or discarded,
Thus, the cracked cookies = 10% of 100
=
= 10,
Then, the simple cookies = 100 - 10 = 90,
The price of each cracked cookie = $ 1.10
So, the selling price of cracked cookies = 1.10 × 10 = $ 11,
Now, let the price of each simple cookie = x dollars
So, the selling price of simple cookies = x × 90 = 90x dollars,
Thus, the total selling price = 90x + 11
⇒ 90x + 11 = 320
90x = 320 - 11
90x = 309
⇒ x = 3.43
Hence, the price of each cookie should be $ 3.43.
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Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.