Answer:
Answer: Option c. 0.1875 is the first term of the sequence.
Step-by-step explanation:
In this question sixth term of a sequence is given as A(6)= 192
Ratio of terms is given as 4
And we have to calculate the first term of the sequence.
As per formula A(n) = A(1)×
A(6) =
192 =
A(1) =
= 192/1024
=0.1875
So the first term of the sequence will be 0.1875
Answer:
Step-by-step explanation:
rate = 3.5% per month
A) Six days later the bank calculated the daily interest.
so, time = 6 days
= 6 / 30 = 1/5 month
simple interest
=35%
B) For $5000, t = 1 month
For $2000, t = 20 / 30 = 2/3 month
For $8000, t = 16/30 months
Simple interest for $5000
$175
Simple interest for $2000
=$46.67
Simple interest for $8000
=$149.33
Total amount in account at the end of 30 days is
= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33
= $15371
we know that
The vertex of the function is the point
The vertex of the function is the point
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is
the value of k is
the equation is
therefore
<u>the answer is the option a</u>
Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution from here we see that
, and if we solve for x we got
, so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
