Answer:
The value of first coin will be $151.51 more than second coin in 15 years.
Step-by-step explanation:
You have just purchased two coins at a price of $670 each.
You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.
We have to calculate the first coin's value after 15 years by using the formula
Where A = Future value
P = Present value
r = rate of interest
n = time in years
Now we put the values
A = (670)(2.797964)
A = 1874.635622 ≈ $1874.64
Now we will calculate the value of second coin.
A = 670 × 2.571841
A = $1723.13
The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51
The value of first coin will be $151.51 more than second coin in 15 years.
We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.
We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.
We will use exponential growth function to solve our given problem.
An exponential growth function is in form 
, where
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
x = Time.
We can see that initial value is $160. Upon substituting our given values in above formula, we will get:
To find amount of money in Clare's account after 30 years, we need to substitute 
in our equation.
Therefore, the expression 
represents the amount of money that Clare would have after 30 years.
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
(x₁ + x₂ ) , (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ (5 - 1), (8 - 4 ) ] = (2, 2 )
If you solve for the vertex of the function, you would get (-3, -1). So I think it would be x = -3 and the function’s maximum value would be -1. Hope this helps!! :)
