Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years

Answer:

week 4

Step-by-step explanation:

that is answer

Answer:

J

Step-by-step explanation:

Acute angles are less than 90 degrees.

Obtuse angles are more than 90 degrees.

So J is the only polygon that has angles less than 90 degrees and angles more than 90 degrees.

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Answer:

61.2

Step-by-step explanation:

Answer:

i dont even understand this can u pls place an attachment of the problem pls

Answer:

A,

B

Step-by-step explanation:

If it's a 15 dollar variable fee and a flat 10 our equation looks like this

15c+10

which is the same as A

Now that we know the equation we can just plug a couple of numbers in

when c=3 what is h

15(3)+10=

55

THerefore the answer is B

Answer:

13) A

14) B

Step-by-step explanation:

For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically:  15 charge + 10 travel fee = hour.

Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.

Answer:

u = 0

Step-by-step explanation:

hedh djsf

fjdg

ggf

Answer:

4 times 1 over 10

Step-by-step explanation:

i think it is this hope it is right

Answer:

Step-by-step explanation:

it would be 4 times 1 over 10

Answer:

Step-by-step explanation:

A representation shows a proportional relationship between

[tex]x \: and \: y[/tex]

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Answer: its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

shes fastr

Answer:

The probability that both A and B occur is P = 0.01

Step-by-step explanation:

Both events A and B have a probability p of occurring.

Then both events A and B have a probability (1 - p) of NOT occurring.

The probability that neither A or B occurs is equal to the product of the individual probabilities, and this is equal to 0.81, then:

(1 - p)*(1 - p) = 0.81

1 - 2*p + p^2 = 0.81

p^2 - 2*p + 0.19 = 0

We can solve this if we use Bhaskara's equation, the two solutions are:

[tex]p = \frac{-(-2) +- \sqrt{(-2)^2 - 4*1*0.19} }{2*1} = \frac{2 + - 1.8}{2}[/tex]

Then the two solutions are:

p = (2 + 1.8)/2 = 3.8/2 = 1.9

A probability must be a number between zero and one, and this is larger than one, so this solution can be discarded.

the other solution is:

p = (2 - 1.8)/2 = 0.2/2 = 0.1

This means that the probability that event A occurs is p = 0.1

And the probability that event B occurs is p = 0.1

The probability that both events occur is equal to the product of the individual probabilities, which is:

P = 0.1*0.1 = 0.01

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Answer:

72

Step-by-step explanation:

because you do 8x9 and its 72

Answer:

72

Step-by-step explanation:

hope it helps

Answer:

niamh gets 15 pencils and jack gets 25 pencils

Step-by-step explanation:

3+5=8

40/8=5

5*3=15

5*5=25

so the ratio for how many penicils each child is 15:25

Answer:

1

Step-by-step explanation:

anything to power of 0 is 1

Answer:

1

Step-by-step explanation:

by the laws of exponents, any base with a power to 0 is equal to 1

Answer:

1 and 1/20

Step-by-step explanation:

LCM of 5 and 4 = 20

4/5 = 16/20

1/4 = 5/20

Answer:

1/4

Step-by-step explanation:

6/24 simplifies to 1/4. 1 shrub every 4 feet.

Answer:

-17

Step-by-step explanation:

-(4+2(-2) +3) -3(4) -2

-(4-4+3)-3(4)-2

-3-3(4)-2

-3-12-2

-17

Answer:

4 : 3

Step-by-step explanation:

ur welcome

Answer:

Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.

Answer:

The answer is below

Step-by-step explanation:

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .

Solution:

The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 202, σ = 38.2

i) for student B, x = 199. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]

ii) for student D, x = 222. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]

iii) for student F, x = 172. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]

iv) for student H, x = 215. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]

For z = 2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]

For z = -2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]

Answer:

A. 1/5

Step-by-step explanation:

To find scale factor, simply find the length of one side on the copy and divide by the length of the corresponding side on the original.

For instance, the top side of the copy is 1 unit long, and the top side of the original is 5 units long. So, take 1 divided by 5 to get a scale factor of 1/5.

Answer:

10% ive done these in 6th

Step-by-step explanation:

Answer:

the mean is 65

Step-by-step explanation:

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Answer:

B. 288 In

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x*(x-2)-(288)=0

 x • (x - 2) -  288  = 0

Find two factors of  -288  whose sum equals the coefficient of the middle term, which is   -2 .

     -288    +    1    =    -287

     -144    +    2    =    -142

     -96    +    3    =    -93

     -72    +    4    =    -68

     -48    +    6    =    -42

     -36    +    8    =    -28

     -32    +    9    =    -23

     -24    +    12    =    -12

     -18    +    16    =    -2    That's it

Answer: 288

Answer:

Approximately 68% of their scores will fall within one standard deviation of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.