Answer:
Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
Step-by-step explanation:
Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:
Quarter = 0.25
Dime = 0.10
Nickel = 0.05
Penny = 0.01
0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41
0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).
0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).
0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X
0.25 + 0.30 + 0.25 + 0.02 = X
0.82 = X
Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
Answer:
2.718p
Step-by-step explanation:
d(p)= 3000/p-100
dp^2-100dp=3000
e(p)=
2.718p
Answer:
try (
−
4
,
∞
)
Step-by-step explanation:
SFF = (r/n)/{(1+r/n)^nt-1} ------- where SFF = Sinking fund factor, r = Annual interest rate, n= number of payments per year, t = number of years
Substituting,
SFF = (0.06/2)/{(1+0.06/2)^2*2 -1} = 0.239
PMT = A*SFF = 58,000*0.239 = $13,863.57 ---- The closest answer is $13,863.74
Answer:
8 Hours
Step-by-step explanation:
Since 4 painters painting one house takes 14 hours, then one person would take 56 hours to paint the whole house. Hence, 4 x 14 = 56. If 7 people painted the house, then 8 hours would be needed since 56 / 7 = 8.
4 people x 14 hours = House
56 hours = House
56 hours is required to paint a house.
7 people x H hours= House
7 people x H hours = 56
(7 people x H hours)/ 7 = 56 / 7
You divide 7 on both sides to isolate H on one side.
H hours = 8
So H = 8 which is the amount of hours needed.
I Hope This Helps :)
