Use substitution
Plug in 5x for y
5x = 2x - 15
Subtract 2x
3x = -15
Divide by 3
x = -5, y = -25
Solution: (-5, -25)
First, we convert the interest such that it is compounded annually. The formula would be:
ieff = (1 + i/m)^m - 1
where m = 4, since there are 4 quarters in a year
ieff = (1 + 0.025/4)^4 - 1
ieff = 0.0252
Then we use this for this equation:
F = P(1 + i)^n, where F is the future worth, P is the present worth and n is the number of years
F = $600(1 + 0.0252)^15
F = $871.53
Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Answer: C=[ (10) x (19.60)÷ (8)]
Step-by-step explanation:
Given , The cost of 8 books = $ 19.60
Then, By UNITARY method , the cost of one book = ( Cost of 8 books ) ÷ ( 8)
i.e. The cost of one book = ($19.60) ÷ ( 8) ...(i)
Now , cost of 10 books = (10) x (Cost of one book)
From (i) , we get
Cost of 10 books =$[ (10) x (19.60)÷ (8)]
Let C be the cost of 10 books ( in dollars) .
So , the equation would help determine the cost of 10 :
C=[ (10) x (19.60)÷ (8)]
Answer:
a.) 
b.) therefore b = 
b is the rate of increase of number of members
c.) The club will not be able to get more than 5000 members during its first year.
Step-by-step explanation:
i) the club started with 2100 members.
so we can write 
= 2100.
a.) so we can write the equation as an exponential function given by
where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .
therefore 2142 = 2100 
= 2100
b.) therefore b =
b is the rate of increase of number of members
c.) Will the club have more than 5000 members during its first year? Justify your reasoning.
5000 = 2100
therefore x = 
The club will not be able to get more than 5000 members during its first year.
