Answer:
answer is 7
Step-by-step explanation:
We are given a piecewise function which has a split at x=0
f(x) =
To find the limit, we have to find here left hand limit and right hand limit separately.
Here left hand limit for x tending to 0 is
limit of as x tends to 0
= 7-0 = 7
Right limit = limit of 10x+7 as x tends to 0
=10(0)+7 = 7
Since right hand limit = left hand limit we have
there exists a limit for x=0 and the limit is 7
Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as
⇒
Hence, to make a profit of at least $500 she must sell at least 12 necklaces