Answer:
y = 5 e^r * t
Let y be the population in billions and t the value of elapsed years
7 = 5 e^r * t is the equation being used where t = 15
7/5 = e^r * t
ln 7/5 = r * t taking ln of both sides
r = .336 / 15 = .0224
y = 5 e^(.0224 t) is then our equation
Check - suppose you want y at 2020
y = 5 e^(.0224 * 20) would be the equation
y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer
It would possibly be a but also b you’re welcome
All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:
$91.35 * 2 =
= $90.00 * 2 + $1.00 * 2 + $0.35 * 2 =
= $180.00 + $2.00 + $0.70 =
= <u>$182.70</u>
Answer: They will pay $182.70 for two nights at the hotel.
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).
You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.
Therefore:
P(sum is even) = 2 / 4 = 0.5
Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
