Answers
Part 1: 210
Part 2: 24
Explanation
Part 1
This is called combination.
ⁿCm means, the number of different combinations of m objects out of n objects.
¹⁰C₆ = 10!/10!(10-6)!
= 10!/(6!×4!)
=210
Part 2
This is called permutation.
If you have nPm, this means the number of permutations of m objects out of n.
It's solve as follows;
nPm = n!/(n-m)!
⁴P₃ =4!/(4-3)!
= 4!/1!
= 24
Answer:
Exponential Decay
Step-by-step explanation:
It's exponential growth when your base value is > 1. Example:
1.3ˣ, 2ˣ, 7ˣ, 999ˣ
It's exponential decay when the base value is < 1. Example:
0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ
It's neither when the base value = 1. Example:
1ˣ
Answer:
ku hgkjfghdehfv bfd
Step-by-step explanation:
let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
Answer:
The interest rate for the given investment is 18%.
Step-by-step explanation:
We are given that,
The function representing the investment model is,
.
It is required to find the interest rate for the investment.
Since, the function can be re-written as,

i.e. 
So, on comparing with the formula for compound interest i.e.
, where 'r' is the interest rate.
We have that,
The interest rate for the given investment is 0.18 i.e. 18%.