The sinusoidal function graph has a period of 2·π and a minimum point
with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...
Response:
- The minimum value of the function is -6
<h3>How to find the minimum value of a function?</h3>
The minimum value of a function is the lowest vertex value of the
function.
The given graph description, is the graph of the following function;
f(t) = 0.5·sin(t) - 5.5
The minimum value is given at the location where, sin(t) = -1, which gives;
f(t) = 0.5 × (-1) - 5.5 = -6
The minimum value of the function is therefore;
Learn more about the graphs of functions here:
brainly.com/question/26254100
(n-1)+n+(n+1)
With n as the middle of 3 integers, n-1 is the integer just before n and n+1 is the integer just after n.
Answer:
Step-by-step explanation:
The associative property is helpful while adding or multiplying multiple numbers. By grouping, we can create smaller components to solve. It makes the calculations of addition or multiplication of multiple numbers easier and faster. Here, adding 17 and 3 gives 20.
the identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.
To solve this we are going to use the compound interest formula with periodic deposits:

where

is the final amount after

years

is the initial investment

is the periodic deposits

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
Since he is going to save from 27 years old until 65 years old,

. We know that hes is opening his IRA with $0, so

; We also know that he is going to invest $200 at the beginning of each month, so

. To convert the interest rate to decimal form, we are going to divide it by 100:

, and since the interest is compounded monthly,

. Lets replace all the values in our formula to find

:



We can conclude that Rick will have $157,419.04 in his IRA account by the time when he retires.
Answer:
Step-by-step explanation:
Given
The height of the cone is 
The radius of the cone is 
Volume of cone is given by

Insert the values

Thus, the volume of the cone is 