#3). $124.16 will be in amount of deposit
#4) new balance, b = original balance + deposits - payments
=》 b =$782.14+$124.16 - ($450+$58.25)
=》 b = $398.05
<h3>
Answer: 1960 </h3>
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Explanation:
Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.
We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula
n C r = (n!)/(r!(n-r)!)
8 C 3 = (8!)/(3!*(8-3)!)
8 C 3 = (8!)/(3!*5!)
8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))
8 C 3 = (40320)/((6)*(120))
8 C 3 = (40320)/(720)
8 C 3 = 56
This means there are 56 ways to select the three men from a pool of eight.
Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.
Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that 
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that 
So
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
Rounding to the nearest whole number, 96 people.
Answer:
k=11
Step-by-step explanation:
3(k - 6) = 15
Divide each side by 3
3/3(k - 6) = 15/3
k - 6 = 5
Add 6 to each side
k-6+6 = 5+6
k = 11
