On the first day, they traveled for 10 hours with an average speed of 60 mph. Which means on the first day they traveled 600 miles.
Since the total distance is 1023 miles and presumably they will be going at a speed of 60 mph. We divide the miles by the rate:
1023/60 = 17.05
So it will take 17.05 hours to drive the whole way to Florida.
<span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.
We require B(n) = 0...i.e. balance of 0 after n months.
so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
Then, with some algebraic juggling we get:
n = -[log(1 - (Ai/P)]/log(1 + i)
Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43
Also, i = (13.6/100)/12 => 0.136/12 per month
i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)
so, n = 4.15 months...i.e. 4 payments + remainder
b) Now we have A = $754.43 - $300 = $454.43 so,
n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)
so, n = 1.54 months...i.e. 1 payment + remainder
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Answer:
Mean of these n = 23 observations is 16.21 .
Step-by-step explanation:
We are given with the one‑sample t statistic from a sample of n = 23 observations for the two‑sided test of H0 : μ = 15 versus Hα : μ > 15 has the value t = 2.24 . Also, the standard deviation from the sample is 2.4.
So, Null Hypothesis, : = 15
Alternate Hypothesis, : > 15
The test statistics that is used here is One sample t-test statistics;
T.S. = ~
where, = sample mean
= population mean = 15
s = sample standard deviation = 2.4
n = sample size = 23
So, test statistics = ~
2.24 =
1.21 = - 15
= 1.21 + 15 = 16.21
Therefore, mean of n = 23 observations is 16.21 .
Answer:
20 cm²
Step-by-step explanation:
L=2+3 =5cm
w= 4cm
area= 5×4
= 20cm²