Answer:
The function which represents this sequence will be:
Hence, option (A) is true.
Step-by-step explanation:
Given the sequence
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
As the difference is the same, so
as
Thus, substituting , in the nth term of an arithmetic sequence
Therefore, the function which represents this sequence will be:
Hence, option (A) is true.
Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.
Answer:
B 9.72
Step-by-step explanation:
If we imagine 7.48 is 100% Then we can use multiply and divide to find 30%. It goes like this. x/7.48 = 30/100. Where x is the unknown. Take 30 times 7.48 which is 224.4 then divide by 100 we get 2.24 dollars. Added to 7.48 we get 9.72
Answer: 
Step-by-step explanation:
Since the general quadratic equation is,
Here the given table is,
x 1 2 3 4 5 6 7
y 5.9 8.9 13.4 20.1 30.1 45.1 67.7
By the graphing calculator,
a = 1.87024 ≈ 1.87
b= -5.15833 ≈ -5.15
c = 10.5429 ≈ 10.54
By putting the values of a, b and c,
The required quadratic equation is,
⇒ First Option is correct.
Answer:
The value of given function for x = - 3 is 9
Step-by-step explanation:
Given as :
The y is the function of x is as
f( x ) = x²
So, For any value of x , the value of f( x ) should change
If, x = - 3
So, f ( - 3 ) = ( - 3 )²
Or, f ( - 3 ) = ( - 3 ) × ( - 3 )
i.e f ( - 3 ) = ( - × - ) ( 3 × 3 )
Or, f ( - 3 ) = ( + ) ( 9 )
∴ f ( - 3 ) = 9
So, The value of function f ( - 3 ) = 9
Hence , The value of given function for x = - 3 is 9 Answer
