Suppose you invest $950 at an annual interest rate of 6.5% compounded continuously. How much will you have in your account after
1 answer:
Hey!
Alright to solve this problem we must first know the formula for Continuously Compounded Interest. The formula is
.
Okay lets see, now we plug in our numbers into the equation.
<em>Created Equation :</em>
·
<em>Solution {Solution of the Created Equation} :</em>
1819.76
That would be our final answer.
<em>BUT!!</em>
Your question says to round. So, we will round 1819.76 to get our absoulte final answer.
<em>This means</em><span><em> after 10 years you will have about</em> $1820.00.
Hope this helps!
- Lindsey Frazier ♥</span>
Alright to solve this problem we must first know the formula for Continuously Compounded Interest. The formula is
Okay lets see, now we plug in our numbers into the equation.
<em>Created Equation :</em>
<em>Solution {Solution of the Created Equation} :</em>
1819.76
That would be our final answer.
<em>BUT!!</em>
Your question says to round. So, we will round 1819.76 to get our absoulte final answer.
<em>This means</em><span><em> after 10 years you will have about</em> $1820.00.
Hope this helps!
- Lindsey Frazier ♥</span>
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Answer:
Probability of at least 50 obese individuals in our sample is 0.92364 .
Step-by-step explanation:
We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .
Let X = Number of obese individuals
Firstly, X ~
For approximating binomial distribution into normal distribution, firstly we have to calculate and
.
Mean of Normal distribution, = n * p = 300 * 0.198 = 59.4
Variance of Normal distribution, = n * p * (1-p) = 300 *0.198 *0.802 = 47.64
So, now X ~ N()
The standard normal z score distribution is given by;
Z = ~ N(0,1)
So, probability of at least 50 obese individuals in our sample = P(X >= 50)
P(X >= 50) = P(X > 49.5) {using continuity correction}
P(X > 49.5) = P( >
) = P(Z > -1.43) = P(Z < 1.43) = 0.92364
Therefore, required probability is 0.92364 .
Answer:
x=7.
If you need more explanation I can help, just ask
