Answer:
1500%
Step-by-step explanation:
The formula for Percentage increase is
Increase/ Initial Amount × 100
Increase = Current Amount - Initial Amount
Increase = $320,000 - $20,000
Increase = $300,000
Percentage Increase =
$300,000/$20,000 × 100
= 1500%
The percent increase in home value in those 50 years is 1500%
2. Jayden ran a whole mile in one hour
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
Hi! This type of equation is actully really simple to solve once you learn how so I'll only do a few and let you solve the rest.
To solve 3x + 6 = 18 you just need to remember that whatever action you do on one side of the equal sign you have to do on the other as well, and you just need to get the variable isolated on one side and the constant on the other.
So subtract 6 from both of the constants (6 and 18) to get to 3x = 12.
Then divide both sides by 3 to isolate x and you get x = 4.
To solve x/7 -9 = -7 you have to add 9 to both sides to get x/7 = 2. Then because it's a fraction with a denominator of 7 you multiply both sides by 7 to get x = 14.
To solve 8x - 2x = -36 you combine like terms to get 6x = -36 then divide both sides by 6 to get x = -6.
Hope this is what you were looking for and explained in an understandable way, if not I apologize. :)
Given:
p = 90% = 0.9, the probability that an adult has had chickenpox by age 50.
Therefore,
q = 1 - p = 0.1, the probability that an adult has not had chickenpox by age 50.
Part (a)
Because there are only two answers: "Yes" or "No" to whether an adult has had chickenpox by age 50, the use of the binomial distribution is justified.
Part (b):
Calculate the probability that exactly 97 out of 100 sampled adults have had chickenpox.
The probability is
P₁ = ₁₀₀C₉₇ (0.9)⁹⁷ (0.1)³ = 0.0059
Answer: 0.006 or 0.6%
Part (c)
Calculate the probability that exactly 3 adults have not had chickenpox.
Theis probability is equal to
P₂ = 1 - P₁ = 1 - 0.006 = 0.994
Answer: 0.994 or 99.4%
Part (d)
Calculate the probability that at least 1 out of 10 randomly selected adults have had chickenpox.
The probability is
P₃ = ₁₀C₀ (0.9)⁰ (0.1)¹⁰ + ₁₀C₁ (0.9)¹ (0.1)⁹ = 10⁻¹⁰ + 10⁻⁹ = 10⁻⁹ ≈ 0
Answer: 0
Part (e)
Calculate the probability that at most 3 out of 10 randomly selected adults have not had chickenpox.
The probability is
P₄ = 1 - [₁₀C₀ (0.9)⁰(0.1)¹⁰ + ₁₀C₁ (0.9)¹(0.1)⁹ + ₁₀C₂ (0.9)²(0.1)⁸ + ₁₀C₃ (0.9)³(0.1)⁷]
= 1 - (10⁻¹⁰ + 9 x 10⁻⁹ + 3.645 x 10⁻⁷ + 8.748 x 10⁻⁶)
= 1
Answer: 1.0 or 100%
