Answer:
$431
Step-by-step explanation:
using the formula P(1+r/100)^n,
we can substitute the P with $300,
substitute the r with 7.5%,
and substitute the n with 5.
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Looks correct. :)...........
Answer:
See below. To model with mathematics is to test ideas using math and computer programs to simulate an object or action.
Step-by-step explanation:
To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action. One example would be the design of a roller coaster. The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics. F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom. A change in the car's direction will also produce forces that may be calculated, One might ask "Will this turn produce more force than the seat belt can safely handle?" Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces. You'll have a much better chance of keeping your friend intact on the actual coaster. Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy. The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item. This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.
Answer:
C. Bulldogs
Step-by-step explanation:
In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:
3= 3 ^1
5= 5^1
8= 2 * 2 * 2 = 2^3
2= 2^1
We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120
Each number will be:
Tiger= 2/3 * 40/40= 80/120
Redbird = 4/5 * 24/24= 96/120
Bulldogs = 3/8 * 15/15 = 45/120
Titans = 1/2 * 60/60 = 60/120
As you can see, the team with the lowest chance to play is Bulldogs = 45/120
