Answer:
a) $3480
b) $4036.8
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Suppose that $3000 is placed in an account that pays 16% interest compounded each year.
This means, respectively, that 
So
(a) Find the amount in the account at the end of 1 year.
This is A(1).
(b) Find the amount in the account at the end of 2 years.
This is A(2).
Answer:
Part A - 
Part B - 
Step-by-step explanation:
The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
Answer:
Option B.
Step-by-step explanation:
The given table of values is
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We need to find the interval for which the function f(x) is positive.
From the given table it is clear that the value of function f(x) is negative before -2 and after 1.
The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).
Therefore, he correct option is B.
Answer: 4th option
Explanation:
I added a picture so please check it
