Answer:
30 toys to break-even in one day
Step-by-step explanation:
Let "x" be the number of toys the company makes in a day. The cost of the company is $ 300 per day + $ 25 per toy
Since, the cost is $25 for one toy, the cost for x toys would be $ 25x.
The cost $300 is the fixed cost and does not depend on how many toys are made in a day. Therefore, the total cost the company pays to make x toys in a day would be:
Total Cost = 300 + 25x
The company sells toy for $ 35 each. So x toys would be sold in $ 35x. Hence, total revenue/sales would be:
Total Sales = $ 35x
In order to break-even, the total cost in one day must be equal to total sales of the day i.e.
Total Cost = Total Sales
300 + 25x = 35x
300 = 10x
x = 30
This means, if the company makes and sells 30 toys it would break-even i.e. no loss no profit. For getting profit, the company had to sale more than 30 toys in a day.
Answer:
x>3
Step-by-step explanation:
8x-6>12+2x
Subtract 2x from each side
8x-2x-6>12+2x-2x
6x -6 > 12
Add 6 to each side
6x-6 +6 > 12+6
6x> 18
Divide each side by 6
6x/6 >18/6
x>3
Answer:
Therefore the value of bond will triple after 17.72 years.
Step-by-step explanation:
The formula of Compounded continuously
A= Amount after t year
P= initial amount
r = rate of interest
t= time in year.
Given that,
Jacobs college saving are invested in bond that pay 6.2% compounded continuously.
Let after t years the initial amount P will be triple i.e 3P.
Here P=P, A=3P, r= 6.2%=0.062
[ Multiply 
both sides]
Taking ln both sides
[ since 
]
years
Therefore the value of bond will triple after 17.72 years.
