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3 years ago

John invested N$ 20 000 on 1/06/2009 at 9% p.a. interest compounded monthly

Mathematics

1 answer:

alina1380 [7]3 years ago

3 0

Answer:

a) $49,027.14

b) $54,501.67

Step-by-step explanation:

a) The account balance multiplier for interest rate r compounded n times per year for t years is ...

multiplier = (1 +r/n)^(nt)

For your numbers, r=.09, n=12, t=10, this is 2.45135708, so the account balance after 10 years will be ...

$20,000 × 2.45135708 ≈ $49,027.14

b) All but $20,000 of the above balance is interest, so the amount invested for the second period is $29,027.14.

The multiplier for a continuously compounded interest rate r for t years is ...

multiplier = e^(rt)

For your numbers, r=.105 and t=6, so the multiplier is e^.63 ≈ 1.8776106 and the account balance for an investment of $29,027.14 will be ...

$29,027.14 × 1.8776106 ≈ $54,501.67

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What is the slope of this line? 5 1/5 -1/5 -5

Masteriza [31]

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

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3 years ago

At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she

mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using: time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive: $t_1=\dfrac{d}{30}$

Walk: $t_2=\dfrac{d}{4}$

If total time = 17 hours

$\implies t_1+t_2=17$

$\implies \dfrac{d}{30}+\dfrac{d}{4}=17$

$\implies \dfrac{17d}{60}=17$

$\implies 17d=1020$

$\implies d=\dfrac{1020}{17}$

$\implies d=60$

Therefore she walked 60 miles

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2 years ago

Read 2 more answers

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Feliz [49]

Answer:

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Step-by-step explanation:

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4 years ago

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$