Given:
Cost of 1 digital song = $1.05
Cost of 2 digital song = $2.10
Cost of 5 digital song = $5.25
To find:
The equation and the cost of 25 downloaded digital songs.
Solution:
Let us take two points (1, 1.05) and (2, 2.10).
Here 
Slope:


m = 1.05
Using point-slope formula:



Add 1.05 on both sides, we get

Here x is the independent variable and c is the dependent variable.
So that substitute x = n and y = c.

The equation is c = 1.05 n.
Substitute n = 25 in the equation.


The cost of 25 songs is $26.25.
30 handhakes, you obviously dont shake your own hand do 6*5 =30
Answer:
a) 7 : 20
b)There will be 35 people with blue eye
Step-by-step explanation:
a)
This question is asking you the ratio of the number of people with blue eyes to the total number of people.
So seven people with blue eyes to the total number of 20 people.
7 : 20
b)
you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.
so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.
so then you use 5 times 7, then you got the number 35.
That means, there are 35 people with blue eyes in 100 people.
454 minus 156 equals the difference, hope it helped !!!!!!!!!!!
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is
where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is
and dividing everything by 2 to simplify a bit:
. Upon analyzing that equation, it looks like we need values for x, y,
, and
. And here's what we were given:
and
In the greater realm of things, that's nothing at all.
BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to
Find
at the instant that
= .5.
Solving for x and y:
and
6tan45 = x ( and since this is a 45-45-90 triangle, y = x):
so
and now we can fill in our derivative. Remember the derivative was found to be
so
and
and
and multiplying by the reciprocal of the left gives us:
so
