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
mihalych1998 [28]
3 years ago
5

The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x

months since the beginning of the year.
x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15

Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.

Mathematics
2 answers:
Solnce55 [7]3 years ago
8 0
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10

x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b 

2(5) = (4a+2b)2
-
 <u>   8 = 16a + 4b
</u>    2 = -8a

a = -0.25

b = 2

y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
Mandarinka [93]3 years ago
6 0

Answer:

-1/4 x^2 +3x+10

Step-by-step explanation:

You might be interested in
HELP!!!!!!!! Question 1 (1 point)
Gemiola [76]

Answer: nearest degree is 40

Step-by-step explanation:

3 0
3 years ago
Find the size of each of 66 payments made at the end of each year into a 88​% rate sinking fund which produces ​$36000 at the en
Assoli18 [71]

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

P=\dfrac{r(PV)}{1-(1+r)^{-n}}, where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99

Hence, the payment size is $7787.99.

8 0
3 years ago
At 7:30 a.m., a bus left Town P for Town Q at a speed of 60 kilometers per hour. 15 minutes later, a car left Town Q and headed
marissa [1.9K]

Answer:

the bus took 4.5 hrs going 60 kph to get from town P to town Q

this means that the distance from town P to town Q is 270 km

side note-the car kph isn't shown and it got to town Q faster than the bus, so it must have gone at a faster speed. i didn't use the car to solve the problem, just the bus.

5 0
3 years ago
The Monkey and the Cookie Jar
Svetradugi [14.3K]

Answer:

The theme is the monkey and the cookie jar

Step-by-step explanation:

The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out

This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.

Please mark me as brainliest since I'm the one that actually answered your question

3 0
2 years ago
Would it be “A” or “C”?
LUCKY_DIMON [66]

Answer:

Tagging Problem for future searchers

Step-by-step explanation:

Which expression represents the statement "four less than the product of three and a number"?

A) 4-3n

B) 4-n/3

C) 3n-4

D) n/3-4

7 0
3 years ago
Other questions:
  • Find the area of the region bounded by the curves <img src="https://tex.z-dn.net/?f=y%3Dsin%5E-1%5Cfrac%7Bx%7D%7B2%7D" id="TexFo
    13·1 answer
  • A researcher wishes to investigate differences in college admission rates between students at two high schools. She randomly sel
    9·2 answers
  • a buisnees has a 20p ft wall and places 6 ft letters on the center of the exterior wall to spell sale. If there is 1ft between e
    10·1 answer
  • A car sales man sales 5 cars this month. Each car cost about $34,000. If he
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=6%20%3C%20%20-%205t%20-%204" id="TexFormula1" title="6 &lt; - 5t - 4" alt="6 &lt; - 5t - 4"
    15·1 answer
  • 2 1/2 divided by 2 1/4 in its simplest form
    5·1 answer
  • In right triangle XYZ, triangle Y is the right angle and m angleX = 60 degrees. If YZ= 4 what is XY
    5·2 answers
  • SOMEONE PLEASE HELP! I need to find the value of X and round to the nearest tenth
    8·1 answer
  • I need to find the value of x given the answer in simplest radical form
    11·1 answer
  • 621/60 as a mixed number? Help me its a test
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!