Answer:
524.96 − 32.50 + x ≥ 500
Amount need to deposit = $7.54
Step-by-step explanation:
Given:
Amount in checking account = $524.96
Maintain amount = $500
Amount of check = $32.50
Find:
Amount need to deposit
Computation:
Assume, amount need to deposit = x
So,
For avoiding fee
524.96 − 32.50 + x ≥ 500
x = 7.54
Amount need to deposit = $7.54
Answer:
a) 21684
b) 15504
Step-by-step explanation:
a) Distribute the comic books as follows
only to 1 kid one way but we have five kids then 5
to two kids C₂₀,₂ = 20! /2! ( 20-2)! = 20*19 /2 = 190
To three C₂₀,₃ = 20! /3! ( 20 - 3)! = 20*19*18 /6 = 1140
To four C₂₀,₄ = 20 ! / 4! ( 20 - 4 )! = 20*19*18*17 /4*3*2 = 4845
To five C₂₀,₅ = 20! /5! (20 - 5 )! = 20*19*18*17*16/5*4*3*2*1
C₂₀,₅ = 15504
Then total ways of distribution are:
5 + 190 + 1140 + 4845 + 15504 = 21684
b) C₂₀,₅ we know from a that is equal to 15504
Answer:
Team sack = 9
Team tackle = 17
Step-by-step explanation:
To start with, we'd assume that
Let x = the points scored by Team Sack
Let x + 8 = the points scored by Team Tackle
x + x + 8 = 26
So, go further and solve mathematically
2x + 8 = 26
if we subtract 8 from both sides, we have
2x = 18
Next, we then divide both sides by 2. So that,
x = 18/2
x = 9
Since we assumed the total points for Team Sack to be x, then Team Sack scored 9 points while Team Tackle scored x + 8 points, and that is 17
100=1,478,300
1000=1,478,000
10,000=1,470,000
Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of 
as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
We know xa=-3 and xm=-5. Solve the first equation for xb:
Substituting:
We can solve the second equation for xb and get:
Since ya=4 and ym=-2, then:
Thus, the coordinates of b are: B=(-7,-8)
