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Trava [24]
2 years ago
14

On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st j

an 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account
Mathematics
1 answer:
Sladkaya [172]2 years ago
4 0

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

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If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.
Reil [10]

Answer:

Option D is correct.

Step-by-step explanation

Principal =  $9250

rate of interest = 7%  or 0.07

time = 5 years or 260 weeks

      [ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]

Applying the formula  

Amount after t years =       P(1+\frac{r}{n} )^{nt}

                                         where P = principal

                                                     r = rate % in decimals

                                                    n= number of times in a year

                                                     t = times ( in years)

                          plugging the values  in the formula

              Amount =  9250(1+\frac{0.07}{52} )^{(52X(5)}

                             =  9250(1+0.001346 )^{(260)}

                              = 9250(1.001346 )^{(260)}

                               = 9250(1.418733588)

                                =$13123.29

5 0
2 years ago
Which expression represents 8 less than two times X?
JulsSmile [24]

Answer:

Therefore the expression is option A)

2x-8

Step-by-step explanation:

Given:

Statement as ' 8 less than two times X'

To Find :

Expression for the statement

'8 less than two times X'

Solution:

Two\ times\ 'x'\ means=2\times x

Now 8 less than two times X  means Subtract 8 from '2x'

2x-8

Therefore the expression is option A)

2x-8

6 0
2 years ago
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

where n is the sample size.

Here, n = 1 minute = 60 seconds

P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

3 0
2 years ago
comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or
ella [17]
Let a set of n elements. 
We can find n! (factorial) of the n element. 
However, combination of the element lead to less than n! possibilities. 
(combining like adding or multiplying)
So the proposition is false. 
6 0
2 years ago
Read 2 more answers
Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had he
Anna71 [15]
Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811
8 0
2 years ago
Read 2 more answers
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