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4 years ago

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Dominic invests £1000 in a bank account which has a simple interest rate of 4% per annum. He would like to work out how much mon

ey is in his bank at the end of 5 years.

2 answers:

Darina [25.2K]4 years ago

8 0

Here,
The answer is £1216.65

mestny [16]4 years ago

5 0

Answer:

ooytot

Step-by-step explanation:

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What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 x−5g, left parenthesis, x, right parenthesis, equals, minu

Semenov [28]

Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

8 0

3 years ago

An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

monitta

Answer:

a) n =1623

b) $ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken

$\hat p=0.19$ estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by $\alpha=1-0.96=0.04$ and $\alpha/2 =0.02$ . And the critical value would be given by:

$z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912$

And rounded up we have that n=1623

Part b

The margin of error is given by:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

So then if w replace the value of n obtained from part a we got:

$ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

3 0

3 years ago

Does anyone know this

Arturiano [62]

Answer:

C

Step-by-step explanation:

Option C is the correct answer.

8 0

3 years ago

Evaluation the expression using a model 2/3 dived by 1/2.

m_a_m_a [10]

Answer:la respuesta es 8/0

Step-by-step explanation:

8 0

3 years ago

Can someone give me a simple explanation on how to simplify radicals.

s2008m [1.1K]

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

6 0

2 years ago