Option A
The new price is $ 
<h3><u>Solution:</u></h3>
Given that, a stock was priced at $
per share.
It rose in price by $
per share.
New price = old price + rise in price
Thus to find out the new price, we have to add old price and rise in price


On solving we get,


On converting to mixed fraction,

Hence, the new price is
, so option A is correct.
Answer:
The population of deer at any given time = 200(e^0.03t) ÷ (1.5 + (e^0.03t))
Step-by-step explanation:
This is an example of logistic equation on population growth
carrying capacity, k = 200
Rate, r = 3% = 0.03
Initial Population, P1 = 80
P(t) =?
P(t) = (P1 (k)(e^rt)) ÷ (k- P1 + P1(e^rt))
P(t) = (80 (200)(e^0.03t)) ÷ (200 - 80 + 80(e^0.03t))
= (16000(e^0.03t)) ÷ (120 + 80(e^0.03t))
= 200(e^0.03t) ÷ (1.5 + (e^0.03t))
Let the number be x
(9+2x)×2= (-3x)+4
18+4x=-3x+4
4x+3x=4-18
7x=-14
x=-2
Answer:
a.)The total 4-letters passwords when repetition of letters is allowed are 456976
b.)The total 4-letters passwords when repetition of letters is not allowed are 358800
Step-by-step explanation:
Some situations of <em>probability</em> involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.
There are two ways to sort or combine results from dependent events. <em>Permutations</em> are groupings in which the order of objects matters. <em>Combinations</em> are groupings in which content matters but order does not.
How many 4-letter passwords can be made using the letters A throught Z if...
a)Repetition of letters is allowed?
There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are 
b) Repetition of letters is not allowed?
If repetition of letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation 
The total 4-letters passwords when repetition of letters is not allowed are 
.