Answer:
X = {0, 1, 2, 3, 4}
Step-by-step explanation:
If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.
Let's see some examples:
If the PIN is 0000 then X = 4
If the PIN is 2045 then X = 3
If the PIN is 7546 then X = 0
From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.
Thus X = {0, 1, 2, 3, 4}
Answer:
Step-by-step explanation:
Lets Brian => b and Ethan => e so
b=5
e=3+2b
will be the equation of finding free throws.
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years
A = P (1 + r/n)^nt
A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited
A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99
$349.99 - 273 = $76.99
The compounded interest amounts to $76.99
