Answer:A(t)= 2,675(1.003)12t
A(t)=4170(1.04)t
A(t)=5750(1.0024)2t
Step-by-step explanation:Exponential growth is also called growth percentage.
It is calculated using 100% of the original amount plus the growth rate . Example if the amount grows by 5% yearly.5%=0.05
It is written thus(1+0.005)=1.05.
It is usually written in decimal.
The formular for compound interest that is growing exponentially is written as
A=P (1 + i)^N
Looking at the 5 A(t) equations,only 3 of it are growing exponentially.
Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x
Answer: 0.8413
Step-by-step explanation:
Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.
Mean :
Standard deviation : 
Let x be the random variable that represents the typing speeds for the students.
The z-score :-

For x= 51

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413
Answer:
decrease by 2.16
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Answer:
0.2231 (22.31%)
Step-by-step explanation:
defining the event F = the marketing company is fired, then the probability of being fired is:
P(F)= probability that the advertising campaign is cancelled before lunch * probability that marking department is fired given that the advertising campaign was cancelled before lunch + probability that the advertising campaign is launched but cancelled early * probability that marking department is fired given that the advertising campaign is launched but cancelled early .... (for all the 4 posible scenarios where the marketing department is fired)
thus
P(F) =0.10 * 0.74 + 0.18 * 0.43 + 0.43 * 0.16 + 0.29*0.01 = 0.2231 (22.31%)
then the probability that the marketing department is fired is 0.2231 (22.31%)