Use the letters q and d to represent # of quarters and # of dollars.
q + d = 22 coins.
$0.25q + $1.00d = $10.75 Mult. this by 100 to eliminate fractions:
25q + 100d = 1075
Subst. q = 22 - d into the 2nd equation:
25 (22 - d) + 100 d = 1075
550 - 25d + 100d = 1075
550 + 75d = 1075
75 d = 525
d = 7
q + d = 22, so if d = 7, then q = 22-7, or q=15.
There are 15 quarters and 7 dimes.
The formula for getting the accumulated amount(compounded) is;
A =P(1+r%)∧n
Where A = Acumulated amount
P = principle (deposit)
r = interest rate and
n = period
Since the interst is compounded quartly,
period = (5×4)-3 = 17
A = 7100(1+2.8/100)∧17
= 7100×1.028∧17
= 11,353.80
The money she will end up earning in interest on the cd = $11,353.80
0,5, and 8 are the 3 that are correct. You cannot have negative bags of course. Also it cannot be 10 because the balloon cannot hold that much weight.
Answer:

And if we use the permutation formula given by:

And replacing we got:

Step-by-step explanation:
For this problem we want to find the following expressionÑ

And if we use the permutation formula given by:

And replacing we got:

Draw a cake or a pie cut into 24 pieces. Then draw 6 figures around the cake. color code each group of 4 pieces of cake and coordinate it with figure.
Ex: If 4 pieces of the cake were red, color one of the figures red so each figure gets 4 pieces of the cake.