Hello! I can help you with this!
a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
Answer:
<em>The probability of scoring two goals in both times is</em><em> 0.137 or 13.7%</em>
Step-by-step explanation:
Statistics show that a certain soccer player has a 63% chance of missing the goal each time he shoots.
So 
Hence, the probability of getting success in his shoots will be,

The probability of scoring two goals in both times is,




Answer:
x is equal to 16
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
Simplify it
Subtract 3
from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Subtract 2 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify!
That's it!
Answer:
1/12
Step-by-step explanation:
Is the answer I'm bro