Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.
The following formula is applicable;
A=P(1+r)^n
Where,
A = Total amount accrued after 10 years (this is the amount from which the yearly withdrawals will be made from for the 30 years after retirement)
P=Amount invested today
r= Annual compound interest for the 10 years before retirement
n= Number of years the investments will be made.
Therefore,
A= Yearly withdrawals*30 years = $25,000*30 = $750,000
r= 9% = 0.09
n= 10 years
P= A/{(1+r)^n} = 750,000/{(1+0.09)^10} = $316,808.11
Therefore, he should invest $316,808.11 today.
Answer:
Step-by-step explanation:
Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Hence, KN/MN=KO/OL.......by bpt
i.e.= 3/9=2/OL
18/3=OL
6feet =OL
answer is b)6feet
pls mark brainliest if it helps
SA=4pir²
given SA=12.56
12.56=4pir²
divide both sides by 4
3.14=pir²
3.14=3.14r²
divide both sides by 3.14
1=r²
sqrt both sides
1=r
the radius is 1 in
