Answer:
384mm
Step-by-step explanation:
Given:
The sequence is defined as "triple v, then subtract 7 from the result".
To find:
The expression for the given sequence.
Solution:
Triple v means 3 times of v, i.e., 3v.
So, the result is 3v.
Then subtract 7 from the result. So, the expression for the sequence is

Therefore, the required expression is
.
Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
Answer: $59313.58
Step-by-step explanation:
Formula to find the accumulated amount of the annuity is given by :-

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.
Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06
Now substitute all these value in the formula , we get

⇒ 
⇒ 
⇒ 
⇒ ![FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}](https://tex.z-dn.net/?f=FV%3D59313.5772407%5Capprox59313.58%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20cent%5D%7D)
Hence, the accumulated amount of the annuity= $59313.58