When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.
Ivan has 25 quarters and 50 nickels.
Let n denote the number of nickels.
and q denote the number of quarters.
1 nickel=0.05 dollar
and 1 quarter=0.25 dollar
Hence, we have:
0.05n+0.25q=8.75
( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )
On multiplying both side of the equation by 100 we have:
5n+25q=875
on dividing both side of the equation by 5 we have:
n+5q=175-----------------(1)
Also, n=2q---------------(2)
( Since, the number of nickels is twice the number of quarters )
Hence, on putting equation (2) in equation (1) we have:
2q+5q=175
i.e.
7q=175
i.e. q=25
and on putting the value of q in equation (2) we have:
n=50
Answer:
5.5,5(1/4),5(1/5),5.1
Step-by-step explanation:
Answer:
brett,amir,suki,marilyn
Step-by-step explanation:
brett = 5.5, greatest
amir = 5.25
suki = 5.2
marilyn 5.1 ,least
For the Christmas dance, they will need 51 songs.
A number that is calculated by adding quantities together and then dividing the total by the number of quantities.
Given that, For the Christmas dance, the dance committee needs three hours of music. Each song is an average of 3.5 minutes.
Converting 3 hours into minutes,
1 hour = 60 minutes
3 hours = 60x3 = 180 minutes
Since, on song is of 3.5 minutes,
So, number of songs that will be played in 3 hours,
= 180/3.5
= 51.42
≈ 51
Hence, the party will have to play 51 songs.
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Answer: 14000 decigrams
Step-by-step explanation:
Answer:
14000 decigrams
Step-by-step explanation:
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84