Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
Looks like the series is supposed to be
The series telescopes; consider the 
th partial sum of the series,
As 
, the second term converges to 0, leaving us with
Answer:
80 inches cubed
Step-by-step explanation:
V=bh
b= 5 x4 h=4
5 x 4 x 4 = 80
The total balance in Raul's account after 40 years when he retires is $65,714.90.
<h3>What is the total balance?</h3>
The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 1.5/12
- n = number of periods = 12 x 40 = 480
$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
To learn more about annuites, please check: brainly.com/question/24108530
Answer:
Here, V(r) is the function dependent on the variable r whch is the radius of any sphere.
By plugging different values of r in the formula. one can find the volume associated with it.
Here, V(r) represents the volume of the sphere when the radius is equal to r.
Step-by-step explanation:
