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
hammer [34]
3 years ago
9

A college raises its tuition in each of three consecutive years. If the percent increase by 5%, 9%, and 7%, determine the overal

l percent increase at the end of the three-year period?
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

The overall percentage increase is 22.5%.

s<u>tep-by-step explanation</u>

Percentage increase in the first year=5%

Percentage increase in the second year=9%

Percentage increase in the third year=7%

we have to calculate the overall percentage increase

Let  the initial tuition fees be x

tuition fees after three years=

=x\times \frac{100+a}{100} \times\frac{100+b}{100}\times \frac{100+c}{100} \\=x\times \frac{105}{100} \times\frac{109}{100} \times\frac{107}{100} \\\\=x\times \frac{1224615}{1000000} \\=x\times\frac{122.4625}{100} \\=x\times\frac{100+22.4625}{100}

The overall percentage increase is 22.5%.

You might be interested in
4-s/12=-6<br> Please help me!!!
Sveta_85 [38]
4-\dfrac{s}{12}=6
\dfrac{s}{12}=-2
s=-24
5 0
3 years ago
A walking path across a park is represented by the equation y = -3x - 6. A
Brrunno [24]
I think y=-3x - 6 is right
5 0
2 years ago
What is 11 rounded off to the nearest hundred
fenix001 [56]
The answer is 0 because it isn't above 49 and therefore can't be rounded to 100.

Hope this helps :)
3 0
3 years ago
A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t
bearhunter [10]

Answer: A. ​(636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level :\alpha: 1-0.95=0.05

Critical value :z_{0.05}=1.96

Sample mean : \overline{x}=645\text{ hours}

Standard deviation : \sigma= 31\text{ hours}

The 95% confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)

Hence,  95% confidence interval for population mean is (636.9, 653.1).

8 0
3 years ago
A grocer purchased a 100-pound mixture of nuts for $515.The mixture contains 70 pounds of peanuts that cost $3.50 per pound.The
alexdok [17]
Answer $9.00 per pound for almonds
Reason
First, 70# x $3.50 = $245 of peanuts

Second, $515 total cost - $245 of peanuts = $270 of almonds

Third, we know 100# - 70# peanuts = 30# of almonds

Last, $270 cost of almonds divided by 30# of almonds = $9.00 per pound for almonds

3 0
2 years ago
Other questions:
  • Sam recorded how many punded he gained each month for four months and recorded the results as: 1/8, 0.75, 2/5, 5,6. list the amo
    10·1 answer
  • Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position
    14·1 answer
  • Brainliest given ! Help needed!! geometry dilations !! Explain if possible.
    8·1 answer
  • My question is c is not less than zero​
    8·2 answers
  • Del taco sells 12 tacos in a taco fiesta for $8.64
    13·1 answer
  • Use the digits 1-7 to create a seven digit number that can be rounded to 6,300,000
    7·1 answer
  • Distribute -3(9x^2+10x)
    13·1 answer
  • Find the nth term of this number sequence <br> 1
    12·2 answers
  • One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, h
    9·1 answer
  • A baseball diamond is in the shape of a square with bases at
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!