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Luden [163]
3 years ago
15

Brian invests £6500 into his bank account.

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

approximately 11 years

Step-by-step explanation:

Use the compound interest formula:

A = P(1+r)^n, where r is the annual interest rate as a decimal fraction and t is the number of years.

Here we have:

(10000 pounds) = (6500 pounds)(1 + 0.04)^t and must find the value of t.

Solve for (1.04)^t by dividing both sides of this equation by (6500 pounds):

1.5385 = 1.04^t

Take the log of both sides:

log 1.5385 = t*log 1.04, or

       log 1.5385

t = --------------------  = (0.1871)/0.0170  =  10.98, or approximately 11 years

         log 1.04

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What is the domain and range on this graph?
Drupady [299]

Answer:

The answer to your question is Domain (-∞, ∞) Range  [-4, ∞)

Step-by-step explanation:

The Domain is the set of all possible values of the independent variable (x).

The Range is the set of all the possible values of the dependent variable when substitute the domain in the function.

On the graph, we find the domain looking at the x-axis

On a graph, we find the range, looking at all the y-axis

In this graph, x has values from -infinite to infinite, then, the domain is (-∞, ∞).

In this graph, y has values from -4 to infinite, then, the range is [-4, ∞)

4 0
3 years ago
Which is greater 1. 1/8 or 2/5. 2. 1/4 or 7/8 3. 3/12 or 5/6 4.3/4 or 7/10 please number for brainliest
lapo4ka [179]
1. 1/8 is less than 2/5
2. 1/4 is less than 7/8
3. 3/12 is greater than 5/6
4. 3/4 is greater than 7/10
4 0
3 years ago
At the end of January of last year, stock A was selling at A dollars a share, and stock B was selling a B dollars a share, where
Maslowich

Answer: a) yNA/100

b) NA(y-x)/100

c) (NA)/B

Step-by-step explanation:

a) The total amount of dollars owned by the shares' owner = N number of shares × A dollars per share = NA dollars

This total is then transferred to buy B shares which then appreciates by y%.

The amount of increase in portfolio from January to June = y% of total dollars invested = y% of NA dollars = yNA/100

b) If the shares were left with A, the increase in portfolio from January to June would be x% and = x% of the total Dollar amount = x% of NA dollars = xNA/100

How much more money made in that time would be the difference in interest, between taking the dollars to invest in share B or keeping the dollars on investment A

That is, (yNA/100) - (xNA/100) = NA(y-x)/100

c) Total dollars available after sale of the A stock = NA

Number of B stock this dollar can buy = Total dollars available/amount of B stock per share

That is, (NA)/B

QED!

3 0
3 years ago
Find the amount of tax and the tax rate. Round to two decimal places
Makovka662 [10]

Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

3 0
3 years ago
Read 2 more answers
Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
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