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2 years ago

To make one ham sandwich, tina uses one bread roll and two ham slices

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

6 0

Answer:

£67.78

Step-by-step explanation:

Bread - 6 x £2.87 = £17.22

Ham - 8 x £6.32 = £50.56

£17.22

+ <u>£50.56</u>

£67.78

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Find the percentage change between two numbers if the original number was 150 and now is 330.

bearhunter [10]

Answer:

0.45

Step-by-step explanation:

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2 years ago

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Find the sequence.. <br> 1,2,2,4,8

AlladinOne [14]

Let the n-th term be called $a_n$

We see that if we choose $a_0=1,a_1=2$ then the other numbers follow the pattern $a_{n+2}=a_{n+1}\cdot a_n$ (see : $4=2*2,8=4*2$ )

Hence the sequence will be $1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots$

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2 years ago

Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

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2 years ago

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Mrs. Long keeps 25 books on her shelf for her students to read. Six of the books are non-fiction.

dedylja [7]

Answer:24%

Step-by-step explanation:

6 divided by 25 is .24

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2 years ago

A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if

topjm [15]

Answer:

a) The expected value is $\frac{-1}{15}$

b) The variance is $\frac{49}{45}$

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is $\binom{10}{2}$ .

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is $\binom{5}{2}$ . Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is $\binom{5}{1}\cdot \binom{5}{1}$ . So, we define the following probabilities.