(a) P(11,5)= 55440
(b) C(11,5)=462
<h2>Step-by-step explanation:</h2>We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:
and the combination is the number of ways of choosing r items out of a total of n items and is given by:
(a)
P(11,5)
(b)
C(11,5)
Answer:
Width=4.7 ft
Length=16.1 ft
Step-by-step explanation:
Let the width of the table to be x ft
Then the length should be two more than three times the width= 2+3x ft
The area of the serving table should be 75 ft²
But you know the area of this table is calculated by multiplying the length by the width of the table
Hence, Area= length× width
Length=x ft and width =2+3x ft
75ft²= (x ft) × (2+3x ft)
Apply the quadratic formula to solve this quadratic equation
The formula is ;
x= (-b ±√b²-4ac)÷2ac
where a=3, b=2 and c=-75
x= (-2 ± √2²-4×3×-75)÷(2×3)
x=(-2±√4+900)÷6
x=(-2±√904)÷6
x=(-2±30.1)÷6
x=(-2+30.1)÷6=4.683⇒4.7(nearest tenth)
or
x=(-2-30.1)÷6= -32.1÷6=-5.35⇒ -5.4
Taking the positive value
x=width =4.7 ft
2+3x= length= 2+3(4.7)=16.1 ft
Answer:
$2125 interest accumulated at the end of 10 years .
Step-by-step explanation:
Formula
As given
An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interest.
Principle = $2500
Rate = 8.5 %
Time = 10 years
Putting all the values in the formula
Simple interest = $ 2125
Therefore the $2125 interest accumulated at the end of 10 years .
