Suppose that $17,183 is invested at an interest rate of 5.4% per year, compounded continuously. a) Find the exponential func
tion that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?
1 answer:
Answer:
Total = Principal * e ^ (rate * years)
Total = 17,183 * 2.718281828459 ^ (.054 * years)
After 1 year = 18,136.39
After 2 years = 19,142.68
After 5 years = 22,509.12
After 10 years = 29,486.15
We'll use this formula to find the doubling time:
Years = ln (total / principal) / rate
we'll use 200 for total and 100 for principal
Years = ln (200 / 100) / rate
Years = ln (2) / .054
Years = 0.69314718056 / .054
Years = 12.8360588993 Years Doubling Time
Step-by-step explanation:
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Answer:
Q6. D
Q8. A
Step-by-step explanation:
Q6. In 40 trials, he flipped '2 heads and 1 tail' 16 times.
For 2 heads, probability= 16/40= 4/10
For 120 trials, number of times= 4/10 × 120= 48
Q8.
Answer is A because the inequality shows that x is equal or greater than 8 so the dot at 8 has to be coloured.
Note that we do not change the inequality sign unless we are dividing the whole thing by -1.
Answer:
y = 11.84x - 32.71
Step-by-step explanation:
Here, the given data points,
(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),
Let x represents the input value and y represents the output value,
So, the table that represents the given situation is,
x -3 -1 1 2 4
y -70 -42 -21 -9 14
By the above table,
Let the equation of the line is,
y = bx + a
Where,
n = number of data points = 5,
By substituting the values we get,
a = - 32.70547945 ≈ - 32.71,
b = 11.84246575 ≈ 11.84,
Hence, the equation of line would be,
y = 11.84x - 32.71