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
MrRa [10]
1 year ago
5

If f(x) = 3x22, evaluate afI: ()k=1

Mathematics
1 answer:
Korolek [52]1 year ago
5 0

Step 1: Write out the function given

f(x)=3x^2-x

Step 2: Interprete the question given

\sum ^5_{k\mathop=1}f(\frac{k}{2})

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}

Hence, the answer is 33.75

You might be interested in
Solve for x....................................
expeople1 [14]

Answer:

x = 4.5 is the answer to the question

3 0
3 years ago
A new laptop computer costs $800. The sales tax on the computer is $48. What is the PERCENT of the sales tax?
MariettaO [177]

Answer:

<u>6% sales tax</u>

Step-by-step explanation:

48 / 800 = x / 100

What did you do to turn 800 into 100? Divide by 8.

Since we divided the denominator by 8, we also divide the numerator by 8.

48 / 8 = 6

<u>6% sales tax</u>

7 0
3 years ago
Please explain what mark up is to me. Keep it simple
iogann1982 [59]

Hey there!

Markup is the percentage that the cost of an item is increased.

For example, if a company bought a pair of headphones that costed $100 and they sold it for $150, the markup was 50%, since half of the original cost was added. if the markup were 100% it would have been sold for $200, since it added 100% of the original.

I hope this helps!

8 0
3 years ago
At the school Halloween dance. 85% of the students were present. If there are 765 students at the dance then how many total stud
marishachu [46]

Answer:

900 students

Step-by-step explanation:

We have, 85% × x = 765 or, 85/100 × x = 765. Multiplying both sides by 100 and dividing both sides by 85, we have x = 765 × 100/85. So x = 900. If you are using a calculator, simply enter 765×100÷85, which will give you the answer.

3 0
3 years ago
Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calcul
Marina86 [1]
To calculate the amount that Vince should pay back, we can use the formula of 
A = P + PRT 
where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).

Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.

So, the correct formula should be
A = 900 + 900(0.015x2)
A = 900 + 27
A = 927

So, the correct amount Vince should pay is $927.


7 0
3 years ago
Read 2 more answers
Other questions:
  • A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? A.
    13·2 answers
  • 2 minus the sum of u<br> and 6? I just need the equation
    14·1 answer
  • Mr Martin has 36 calculators in a box. The ratio of ordinary calculators to scientific is 5:1. How many of each calculator does
    15·1 answer
  • Express 1.31 x 10-7 in standard form
    9·1 answer
  • In a survey of 1309 people, 825 people said they voted in a recent presidential election. Voting records show that 60% of eligib
    7·1 answer
  • The area of a rectangular parking lot is 4982 m^2 if the width of the parking lot is 53m, what is it’s length of the parking lot
    9·1 answer
  • Explain why (4, 1) is not a solution to the equation y=3x+1
    7·1 answer
  • Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same
    8·2 answers
  • What is -1/2(-4/5) multiplied then in simplest form?
    5·1 answer
  • AlgebraName1. If f(x) = 2x - 4, find each valdea)(3)b) f(x) = 9
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!