I will assume you meant D(x)=23(1.0032)^x, if so:
The growth rate as a percentage is 100(.0032)=0.32% (about 1/3 of 1%)
Answer:
Truck can safely carry <em>2310 pounds </em> of cargo.
Step-by-step explanation:
Given the safety limit of weight to cross the bridge safely is 4 tons.
1 ton is equal to 2000 pounds.
so, 4 tons are equal to 2000 
4 = 8000 pounds
Now, given that
weight of empty truck and driver = 5690 pounds
To find:
Weight of cargo that the truck can safely carry ?
Solution:
Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.
So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo
Weight of Cargo = 8000 - 5690 pounds
Weight of Cargo = <em>2310 pounds</em>
Truck can safely carry <em>2310 pounds </em> of cargo.
Prime numbers are not divisible by any number but themselves or 1.
A) 115 is divisible by 5, so it is not prime
B) 273 is divisible by 3 (you get 91), so it is not prime
C) 317 is prime! only divisible by itself or 1
D) 414 is divisible by 2, so it is not prime. Even numbers are never prime because they are divisible by 2!
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
$25 per month
Step-by-step explanation:
What we know:
3 months of a gym membership costs $75.
6 months cost $150.
To find the unit rate, divided 75 by 3, or 150 by 6.
150/6 = 75/3 = 25/1 = $25 per month
