Answer:
0.31 yr
Step-by-step explanation:
The formula for interest compounded continuously is

FV = future value, and
PV = present value
If FV is twice the PV, we can calculate the doubling time, t

1. Brianna's doubling time

2. Adam's doubling time
The formula for interest compounded periodically is

where
n = the number of payments per year
If FV is twice the PV, we can calculate the doubling time.

3. Brianna's doubling time vs Adam's
10.663 - 10.355 = 0.31 yr
It would take 0.31 yr longer for Brianna's money to double than Adam's.
Answer: 14 customers
Step-by-step explanation: Right now, you can set up an equation that looks something like this. 6h=84 (h means hours). To find the number of customers in one hour, all you have to do is isolate h on one side of the equation. To do this, just divide both sides by 6 and you should get h=14. So in one hour, this particular server sees 14 people. Hope this helps! :)
Subtract 7 from both sides
x=-4
Answer:
1. 1 and 2; 2 and 3
2. 4 and 5; 5 and 6
3. 7 and 8; 8 and 9
4. 1 and 3; 2 and 4
Step-by-step explanation:
Hello,
A good method for solving this question is creating an equation to solve for the width of the door.
Let w = the width of the door
Let h = the height of the door
The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1
Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w.
So, we have h = 2w + 1
7 = 2w + 1
Subtract by 1 on both sides to get:
6 = 2w
Divide by 2 on both sides to get:
w = 3
The width of the door is 3 feet.
However, we should check out answer with the given question to make sure it checks out.
We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.
Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.
The width of the door is 3 feet.
Hope this helps!