Answer:
A = $6,700(1 +0.0865^t)
APY = 8.65%
Step-by-step explanation:
Daily compounding of interest results in an annual growth factor of ...
gf = (1 +r/365)^365 . . . . for APR = r
Your growth factor is ...
gf = (1 +0.083/365)^365 ≈ 1.086532
Then the growth rate (APY) is ...
APY = gf -1 ≈ 8.65%
The account value is multiplied by the growth factor each year, so after t years will be ...
A = P(1 +APY)^t
A = $6,700(1 +0.0865)^t . . . . . . . 0.0865 is the annual growth rate
Answer:
Step-by-step explanation:
Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.
The numbers are written as a product:
a * 10ⁿ
where:
- a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
- n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it shifts to the left, negative if it shifts to the right.
Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10
Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.
Answer:
The next number in the sequence is 36.
Step-by-step explanation:
Consider the provided sequence.
4, 9, 16, 25
The number 4 can be written as 2².
The number 9 can be written as 3².
The number 16 can be written as 4².
The number 25 can be written as 5².
The general term of the sequence is: 
Thus, the next term will be:
Therefore, the next number in the sequence is 36.
The following are true:-
First choice
Third choice.
The last choice
(1,2) is a solution to the system of equations
The answer to this question would be: (6.5 , 8.5)
To answer this question, you need to determine the x and y distance of both point. From A point the distance would be:
X distance= 14-4= 10
Y distance= 10-8= 2
Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)
