The answer would be Z = 1
Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A= $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get
Taking natural log on both the sides , we get
Hence, the annual interest rate = 13.29%
Here we can use the distance formula. We label one point
and the other
. It doesn’t matter which point we label with the 1s and which we label with the 2s. The distance will be the same either way (the distance from the subway to the house is the same as that from the house to the subway — to give a related easier to follow example). What does matter is that the 1s are together and the 2s are together.
So let’s call (-4,-3)
which means that -4 is
and -3 is
. We call the other point (4,3)
The distance formula is
We substitute using the points given and obtain:
and simplify to get
The distance is 5 miles
/tex]
Answer:
Step-by-step explanation:
The given equations are:
2a+7b=0 and 3a-5b=31
Statement Reason
1. 10a+35b=0, 21a-35b=217 (Multiply first equation by 5 and second by 7)
2. 31a=217 (Adding both the equations)
3. a=7 (Dividing both sides by 31)
4. 2(7)+7b=0 (Substituting a=7 in first equation)
5.14+7b=0 (solving step 4)
6. 7b=-14 (Subtracting 14 on both sides)
Assuming that your own ticket is already secured.
From the 5 friends you can only choose 3.
The order in which these friends are chosen is not relevant. So this is a Combination problem.
Where the order is relevant the problem becomes a Permutation problem!
So the answer is 5 combination 3. = ⁵C₃
⁵C₃ = (5 * 4 * 3) / ( 3 * 2 * 1) = 10
You can take 10 groups of any 3 of your 5 friends.