9514 1404 393
Answer:
$74.67
Step-by-step explanation:
Let p represent the original price. Then the relation is ...
$56 = p - 0.25×p
$56 = 0.75p
$56/0.75 = p ≈ $74.67
The original price was $74.67.
Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
Answer:
i ) $96120
ii ) Singular adult fee in 2012: $186.91
Step-by-step explanation:
( i )
To find the costs of all 560 peoples you:
Multiply the amount of people by the fee,
440 × 198 = $87120
120 × 120 = $9000
Add these go get the sum of member fees: $96120
( ii )
First calculate what 1% of the adult fee would be:
198 ÷ 100 = 1.98 = 1%
Then calculate what 0.1% of the fee:
1.98 ÷ 10 = 0.198 = 0.1%
Now multiply 5 by the value of 1% to get 5% :
5 × 1.98 = 9.9
Then multiply 6 by the 0.1% to get 0.6% :
0.198 × 6 = 1.188
Add these numbers together to get:
1.188 + 9.9 = $11.088 = 5.6%
Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)
$11.09
We now subtract this from the 2013 fee to find out the 2012 fee
$198 - $11.09 = $186.91
$186.91 was the cost of a singular adult fee in 2012
Gross profit, G = $2450665
Tax, t=18.5%
reinvestment, r = 25%
Total dividends
= G(1-t)(1-r)
=2450665*(1-0.185)(1-0.25)
=1497968.98
Dividend per share
=1497968.98/350000
=4.280
Earnings per share
EPS = Net profit / number of shares
= 2450665(1-0.185)/350000
=5.7065
Current price = 43.36
P/E ratio
= Current price/EPS
= 43.36/5.7065
= 7.598
=7.6 to one decimal place.
Answer:
either 21 or 39 ion know this is confusing
Step-by-step explanation:
