The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is

It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is

This evaluates to

feet
Answer:
Identity Property of Multiplication Definition. This property is also known as the multiplication property of 1. It states that the result of multiplying any real number by 1 is the number itself.
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
The answer is $32
$8 = 10lb
8x4 = $32 and 40lbs
Answer:
The total payment Janie have to make is $5466 .
Step-by-step explanation:
Given as :
The loan principal = $4850
The rate of interest applied = 13.8% compounded monthly
Let The time period of loan = t years
The monthly payment she make = $455.50 each month
I.e She make payment for t years = $455.50 × n
where n is the number of terms
<u>From Compound Interest</u>
Amount = Principal × 
Or, $455.50 × n = $4850 × 
Or,
× n = 
Or, 0.0939 × n = 
Or, 0.0939 × n = 1.14707
∴ n = 
I.e n = 12.21 ≈ 12
So, The number of terms Janie she will pay = 12
So, The total payment she have to make = $455.50 × 12 = $5466
Hence The total payment Janie have to make is $5466 . Answer