P is the midpoint of DE, DP=3x+2, and DE=10x−12. What is the length of DP?
2 answers:
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Answer:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Choice 1 = X = Final Amount after 12 years = $5600
Choice 2 = Y = Final Amount after 12 years = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Step-by-step explanation:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Initial Deposit Amount = $3500
Time period = 12 years
Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.
X = simple interest of 5% over the initial amount for 12 years.
Y = Compound interest 5% over the initial amount for 12 years.
Solution:
Let's calculate the profit for choice 1 = X
Simple interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P (1 + rt)
where, A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
Plug in the values to get the total amount.
A = 3500(1+0.05x12)
A = $5600 = final amount Lorena will get after 12 years.
Let's calculate the profit for choice 2 = Y
Compound interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P
where,
A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
n = number of times interest rate is applied or compounded. = 12
Plug in the values to get the total amount.
A = P
A = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Answer:
a. 7893600
Step-by-step explanation:
Given that there are 26 numbers out of which 5 numbers are to be chosen.
Here repetition is not allowed.
For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.
1st case, number of possibilities = 26
2nd case, number of possibilities = 25
3rd case, number of possibilities = 24
4th case, number of possibilities = 23
5th case, number of possibilities = 22
a. Total number of possibilities = 26 25
24
23
22 = <em>7893600</em>
b. Probability of winning by choosing one number:
Formula for probability of an event E can be observed as:
Number of favorable cases = 1
Total number of cases = 26
So, required probability:
So, the answers are:
a. 7893600