1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatyana61 [14]
3 years ago
5

Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give

your answer to the nearest penny where appropriate.
Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

You might be interested in
Factorise fully 18x+9
galina1969 [7]

Answer: 9 (2x + 1)

Step-by-step explanation: i hope i helped

5 0
3 years ago
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
OLEGan [10]

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

6 0
3 years ago
number of cars sold in a dealership on each day of may. is it A the data are a time series because of the data are measured over
KengaRu [80]
B is the answer.....
3 0
3 years ago
Need help please show your work <br>find the missing angles of triangles ​
anzhelika [568]

Answer:

angle: 71

x = -3

Step-by-step explanation:

step 1: 180-(55+54) = 71

step 2: x+74=71 (subtract 74 from both sides)

step 3: x=-3

step 4: -3+74=71

3 0
2 years ago
A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

Z = \frac{X - \mu}{\sigma}

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0
3 years ago
Other questions:
  • P=4x+3y x=5 y=-2 work out the value of p
    7·2 answers
  • What is half off 7 dollars and 50 cents (7.50)
    14·2 answers
  • What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? y − 5 = −3(x + 2) y − 5 = 3(x + 2) y −
    14·1 answer
  • Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000
    12·1 answer
  • Help plz I've been stuck
    7·2 answers
  • Order the expressions from least to greatest.<br><br> Anwser<br><br> 4 then 5 then 6
    6·1 answer
  • A preliminary study conducted at a medical center in St. Louis has shown that treatment with
    12·1 answer
  • ❗️ILL GIVE BRAINLIEST❗️
    12·1 answer
  • Write an equation to represent the following statement. 51 5151 divided by 3 33 is k kk.
    11·1 answer
  • P l e a s e h e l p~!!!!!!~!!~~~!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!