Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
Answer: 3.55 g
Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.
Hint: nearest 1/100 g also means nearest hundredth!
Answer:
.
Step-by-step explanation:
.
17.54% is the probability that 5 messages are received in 1 hour.
The chance that X reflects the number of successes of a random variable in a Poisson distribution is provided by the following formula:
P(X = x) = ( × ) ÷ x!
In where x is the number of successes, e is the Euler number, and u is the mean in the specified time frame.
In this case, the average message rate is 5 messages per hour.
The probability of receiving 5 texts in one hour.
Determine the value of P for x = 5 and u = 6.
P(X = x) = ( × ) ÷ 5!
P(X = x) = 21.0560 ÷ 5!
P(X = x) = 0.1754
There is a 17.54% chance that 5 messages will be received in 1 hour.
Learn more about the probability at
brainly.com/question/13416734?referrer=searchResults
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Step-by-step explanation:
you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.
if yes, it was a solution, and if just only one is false, then it was not a solution.
(3, -2) in
y + 4x = 10
5x - y = 13
so,
-2 + 4×3 = 10
-2 + 12 = 10
10 = 10 true
5×3 - (-2) = 13
15 + 2 = 13
17 = 13 false
so, it was NOT a solution.