answer.
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
irinina
2 months ago
9

The university has decided that for the following year, lecture costs will increase by 20%, workshop costs by 10% and examinatio

n costs will stay the same. For level 2 , the currently hourly costs are $10, $24, and $60 respectively. How much would the level 2 course cost in the following year?
Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0
The lecture currently costs $10.
The workshop presently costs $24.
The exam fee is $60.
So, the total expense for level one is (10+24+60) = $94.

For level two, costs are adjusted as follows:
Lecture fee increased by 20%, now:
(120/100) × 10 = $12

Workshop fee increased by 10%, now:
(110/100) × 24 = $26.40

Examination cost remains unchanged. The total cost for level two is:
(12 + 26.4 + 60) = $98.40.
Svet_ta [12.7K]2 months ago
0 0

1212555785245

You might be interested in
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa
PIT_PIT [12445]

To solve this question, follow the steps outlined below:

1. Since 1 yard equals 36 inches, to convert 50 yards to inches involves:

(50)(36)=1800in

2. If he is standing 50 yards away from the school, and the map indicates that the school is 34 inches away from him, when it shows 3 inches the actual distance is:

\frac{(1800in)(3in)}{34in}=158.82in

3. If you express this back in yards:

\frac{158.82}{36} =4.41 yd

Consequently, the answer is: 158.82 inches or 4.41 yards.

8 0
1 month ago
Read 2 more answers
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
tester [12383]

We have to calculate the result of the division problem.

\frac{x^{3}-3x^{2}+3x-2}{x^{2}-x+1}

To determine the result, long division will be employed.

x^{2}-x+1)x^{3}-3x^{2}+3x-2

Initially, we quotient with x since x^{2} fits into x^{3}, x times.

Thus, we have:

x^{2}-x+1)x^{3}-3x^{2}+3x-2(x

\text{..................}x^{3}-x^{2}+x

After subtraction, we obtain:

\text{....................}-2x^{2}+2x-2

We can see that x^{2} fits into -2x^{2}, -2 times; therefore, the next addition to the quotient will be -2. This results in a final quotient of (x-2).


5 0
1 month ago
Read 2 more answers
J.J.Bean sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet.
babunello [11817]

The 99% confidence interval for the actual mean difference between average mail-order and internet purchase amounts falls within [$(-31.82), $12.02].

Step-by-step clarification:

We know a random sample of 16 mail-order sales receipts shows a mean sale amount of $74.50 and a standard deviation of $17.25.

For internet sales, a random sample of 9 receipts gives a mean sale amount of $84.40 with a standard deviation of $21.25.

The pivotal value utilized for constructing a 99% confidence interval for the true mean difference is given by;

                      P.Q.  =  

 ~

where,

= sample mean of mail-order sales = $74.50 \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }t__n_1_+_n_2_-_2

= sample mean of internet sales = $84.40

\bar X_1 = standard deviation for mail-order sales = $17.25

\bar X_2 = standard deviation for internet sales = $21.25

s_1 = number of mail-order sales receipts = 16

= number of internet sales receipts = 9s_2

Furthermore,  

 =  n_1 = 18.74

n_2

The actual mean difference between average mail-order and internet purchases is denoted by (s_p =\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }\sqrt{\frac{(16-1)\times 17.25^{2}+(9-1)\times 21.25^{2} }{16+9-2} }

).

Thus, the 99% confidence interval for (\mu_1-\mu_2) is expressed as;

      = \mu_1-\mu_2 Here, the t critical value at the 0.5% significance level with 23 degrees of freedom is 2.807.           =

          = [$-31.82, $12.02](\bar X_1-\bar X_2) \pm t_(_\frac{\alpha}{2}_) \times s_p \times \sqrt{\frac{1}{n_1} +\frac{1}{n_2}}

Therefore, the 99% confidence interval for the true mean difference between average mail-order and internet purchases is [$(-31.82), $12.02].

(74.50-84.40) \pm (2.807 \times 18.74 \times \sqrt{\frac{1}{16} +\frac{1}{9}})

5 0
1 month ago
Explain the error in the solution below. What additional step needs to be completed? log x – log53 = 2log53 log x = 3log53 log x
PIT_PIT [12445]
The mistake lies in the fact that the logarithms have different bases. The one-to-one property of logarithms cannot be applied unless the bases are identical. <span>To correct this, the change of base formula should be used to express the logarithms with a uniform base.
I have confirmed this using Edge.</span>
5 0
1 month ago
Read 2 more answers
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 1
lawyer [12517]

Response:

(6,-8).

Detailed explanation:

We have a set of equations provided. Our task is to find the solution for this system.

y=\frac{1}{3}x-10...(1)

2x+y=4...(2)

Starting from equation (2), we will derive:

y=4-2x...(2)

Next, by inserting this value into equation (1), we will achieve:

4-2x=\frac{1}{3}x-10

After multiplying both sides by 3, we will arrive at:

3\cdot 4-3\cdot 2x=3\cdot \frac{1}{3}x-3\cdot 10

12-6x=x-30

12-6x-x=x-x-30

12-7x=-30

12-12-7x=-30-12

-7x=-42

\frac{-7x}{-7}=\frac{-42}{-7}

x=6

Now substituting this back into equation (2), we will find:

y=4-2(6)

y=4-12

y=-8

Thus, the solution to our specified set of equations is (6,-8).

4 0
24 days ago
Read 2 more answers
Other questions:
  • What is the equation of the translated function, g(x), if f(x) = x2?
    13·2 answers
  • Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. which
    13·2 answers
  • In the article "Foods, Fortificants, and Supplements: Where Do Americans Get Their Nutrients?" researchers analyze the nutrient
    13·1 answer
  • The function f(x)=startroot -x endroot is shown in the graph. Which statement is correct?
    14·2 answers
  • Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of
    9·2 answers
  • If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to fou
    14·1 answer
  • A pet store has 32 more dogs than cats. If there are a total of 144 dogs and cats altogether, then how many cats does the pet st
    12·1 answer
  • An object has a position given by r⃗ = [2.0 m + (5.00 m/s)t] i^ + [3.0 m − (3.00 m/s2)t2] j^ , where quantities are in SI units.
    15·1 answer
  • A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
    12·1 answer
  • Name the value of each 2 in 222,222
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!