The formula is P=Poe^rt and after 20 years the amount will be $14134.41
For Lyla, the formula used to solve the problem is P=Poe^rt
The function is P=3000 e^0.775t
After 20 years lyla amount will be P=3000e^0.775×20=14134.41$
- The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price, etc that are growing or decay exponentially.
- Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
- As the name implies, exponential functions employ exponents. The base and exponent of an exponential function, however, are not a constant and a variable, respectively (if a function has a variable as the base and a constant).
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Answer:
Right angled triangle
Step-by-step explanation:
This is because the square root of the sum of the squares of 7 and 24 is 25 ( Pythagoras theorem) . This only works for right angled triangle.
Okay, i went with a rectangle, if the rectangle base is 12 and the height is 6 then it would be 12*6 + 12*6 + 12*6= 216 now the ratio is easy , 72:72 because that's what makes up the 12*6 and because there is 3 it's 72 two times now for part b 5 x 10 so that is the height and length so now what you want to do is do what you did the second time so it would be 72:50.
Extra tips: To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) = 
∵ 50 are L-shaped
∴ P(L-shaped) = 
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) = 
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
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Hi, the area of a rectangle is: A = L * W.
Question 1:
Area of surface of the swimming pool is: 1000 * 100, or 100,000 square feet.
Question 2:
Volume of a rectangular box is: V = L * W * H.
Volume of the swimming pool is: V = 1000 * 100 * 10, or 1,000,000 cubic feet.
Question 3:
Question 1 in powers of 10 is: 105
Question 2 in powers of 10 is: 106
