Answer:
84cm^2
Step-by-step explanation:
P=2l+2w
We are given,
P=40cm
l=2w+2
Plug these into the first formula and solve for the dimensions,
length and width, of the rectangle:
40=2(2w+2)+2w Simplify
40=4w+4+2w
40=6w+4
36=6w
6=w OR the width is 6cm, therefore,
the length is
l=2(6)+2
l=14cm
To calculate the area of a rectangle, A=lw,
plug the length,14cm, and the width, 6cm, into this formula
A=(14)(6)
A=84cm2 OR the area of the rectangle is 84cm^2
6 berries on each dessert, 6 desserts of strawberries, 7 desserts of blueberries
Answer:
Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.
Step-by-step explanation:
Simplify both sides of the equation
(20)(4)= 4(5x+1)
Simplify
80 = 20x+4
Flip the equation
20x+4 = 80
Subtract 4 from both sides
20x+4-4 = 80-4
20x = 76
Divide both sides by 20
20x/20 = 76/20
x= 3.8
There is one solution in this equation
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.