Answer:
a [tex]A = 30 + 0.45 n[/tex]
b [tex]A = 90.3[/tex]
c 0 customers
Step-by-step explanation:
Given
[tex]Base\ Amount = 30[/tex]
[tex]Rate = 0.45[/tex] per customer
Solving (a): Amount (A) on n customers
This is calculated as:
[tex]A = Base\ Amount + Rate * n[/tex]
[tex]A = 30 + 0.45 * n[/tex]
[tex]A = 30 + 0.45 n[/tex]
Solving (b): Amount on 134 customers
In this case: n = 134
So:
[tex]A = 30 + 0.45 * 134[/tex]
[tex]A = 30 + 60.3[/tex]
[tex]A = 90.3[/tex]
Solving (c): Customers at noon.
At noon, the amount is 30.
So:
[tex]A = 30 + 0.45 n[/tex]
[tex]30 = 30 + 0.45n[/tex]
Collect like terms
[tex]0.45n = 30 - 30[/tex]
[tex]0.45n =0[/tex]
[tex]n = 0[/tex]
geometry proofs help please
Answer:
trust your instincts
Step-by-step explanation:
I can not interfere with your destiny you will need to decide your destiny
Hello! May someone please help on this :)
I would probably give brainliest.
Answer:
theres 16 doughnuts
Step-by-step explanation:
I need help with this question !!
Answer:
Step-by-step explanation:
Yes, A-A-A
The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)
Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
I need help on this part
Answer:
ang 4 = 60°
Step-by-step explanation:
ang 1 and ang 4 are Linear pair or supplementary angles.
ang 1 + ang 4 = 180
120° + ang 4 = 180° (Putting the value of ang 1)
ang 4 = 180° - 120°
ang 4 = 60°
Raina drinks 0.65 L of milk every day. How much milk does she drink in 9 days?
Write your answer in milliliters.
Answer: 5850 milliliters
Step-by-step explanation:
First, you have to do 0.65L x 9 days = 5.85L
And then you have to convert it to milliliters so:
5.85L= 5850 milliliters
find the number of terms in following algebraic expressions.
Answer:
it needs time wait for 10 min.
The angle measurements in the diagram are represented by the following expressions
Answer:
∠A is equal to 73°
Step-by-step explanation:
Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°
With that we can take the two equations at the top, and add them together for a sum of 180°:
6x - 35° + 3x + 53° = 180°
9x + 18° = 180°
x + 2° = 20°
x = 18°
Now that we have x, we can solve for ∠A:
∠A = 6x - 35°
∠A = 6(18°) - 35°
∠A = 108° - 35°
∠A = 73°
We can test our answer by solving for ∠B. We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°. Now let's solve for be given x and the original equation, and see if we have the right numbers:
∠B = 3x + 53°
∠B = 3(18°) + 53°
∠B = 54° + 53°
∠B = 107°
Which matches up, showing us that we have the correct answer.
I just need the right answer with steps
determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288
Answer:
- 18
Step-by-step explanation:
arithmetic sequences are in form:
a(n)=a(o)+d(n-1)
sum are in form:
s(n)=[a(0)+a(n)](n/2)
three middle terms is:
10th, 11th, 12th term
How to think: 21 = 10+1+10 --> middle 3 is 10,11,12
sum of these 3 terms:
a(10)+a(11)+a(12)
=a(o)+9d+a(0)+10d+a(0)+11d
=3a(0)+30d=126
a(0)+10d=42 ......(equation 1)
Last three terms is:
19th, 20th, 21th
a(19)+a(20)+a(21)
=a(0)+18d+a(0)+19d+a(0)+20d
=3a(0)+57d=288
a(0)+19d=96 ......(equation 2)
now you have
a(0)+10d=42 ......(equation 1)
a(0)+19d=96 ......(equation 2)
solve and gives
d=6
a(0)= -18
Nikki brought a patio set on sale for $480 the original price was 850 what is the rate of discount
Answer:
43.5%
Step-by-step explanation:
Substitute the original price of $850 and the sale price of $480 to find
amount of discount=850−480=370
Use the amount of discount, $370, to find the discount rate. Use the equation
amount of discount=discount rate×original price.
Rearrange the equation to solve for the unknown value.
discount rate=amount of discountoriginal price
Substitute in the known values and solve to find the discount rate.
370850=0.435=43.5%
Thus, the discount rate on the patio set was 43.5%.
Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation
Answer:
The slope is POSITIVE.
The line has a slope of positive 4/3
Step-by-step explanation:
It rises 4 then runs 3.
3/4 -5/8 in simplest form plz
Help please. Assignment due tonight.
Answer:
sin b
Step-by-step explanation:
Answer:
cos A
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
sine B = [tex]\frac{3}{5}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos A = [tex]\frac{3}{5}[/tex]
Reflect the figure across the y- axis, then state the ordered pairs of the image.
May someone please explain how I would reflect it?
Thinking about the table...Why does this
table start at zero? Why aren't there any
negative numbers in the DOMAIN?
Answer:
Why does this table start at zero?The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.
Why aren't there any negative numbers in the DOMAIN?There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.
Step-by-step explanation:
Hope it is helpful....
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(
Answer:
6
Step-by-step explanation:
2 ft = 24in so 4 to 24 is times 6
3ft=36 in and 6 to 46 is times 6
Answer:
6/1
Step-by-step explanation:
2ft=24 inches
3ft=36 inches
poster/original photo
24in/4in=6/1
36in/6in=6/1
6/1
the length of a rectangle is represented by 3x-7 and the width by x+4. express the perimeter as a polynomial in simplest form
Answer: 8x - 6
Step-by-step explanation:
Perimeter is found by doing 2l + 2w
The length is 3x - 7 and width is x + 4
2(3x - 7) + 2(x + 4) =
6x - 14 + 2x + 8 =
8x - 6
the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?
Answer:
20 years
Step-by-step explanation:
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
I hope this helps a little bit.
Help ASAP!!!! Thanks
Answer:
No DB is not a perpendicular bisector of AC
Step-by-step explanation:
This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,
180 ÷ 2 = 90
On both the angles i.e <BDC = <NDA = 90°
To make it a perpendicular bisector but
<BDC is not equal to <NDA is not equal to 90°.
Hence, DB is not a perpendicular bisector of line AC.
At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?
Answer: Just look it up on goo gle
Step-by-step explanation:
The rate per annum compound interest is approximately 11.5%.
To find the rate per annum compound interest, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A = the final amount (N5353 in this case)
P = the principal amount (N4000 in this case)
r = the annual interest rate (what we want to find)
n = the number of times interest is compounded per year (assuming once per year)
t = the number of years (5 years in this case)
Now, we can plug in the values:
[tex]N5353 = N4000(1 + r/1)^{1*5}[/tex]
Divide both sides by N4000:
[tex]1.33825 = (1 + r)^5[/tex]
Now, isolate (1 + r) by taking the fifth root of both sides:
[tex]1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115[/tex]
Now, subtract 1 from both sides to find the interest rate (r):
r ≈ 1.115 - 1
r ≈ 0.115
Finally, convert the interest rate to a percentage:
r ≈ 0.115 * 100
r ≈ 11.5%
To know more about rate:
https://brainly.com/question/32398403
#SPJ2
Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =
Please explain in words.
Answer:
No
Step-by-step explanation:
When you are adding a positive by a negative, simply subtract and take the sign of the larger number.
A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?
Answer:
40250
Step-by-step explanation:
3. Three model greenhouses are shown below. They are made by covering the tops and sides of a wood frame with plastic. The bottom of the green house is not covered with plastic. Of the three models, which has the greatest amount of plastic needed to make it and which has the least amount of plastic needed? 3 ft ) 5 ft 5 ft 5 ft 3111/ 8 ft 6 ft 6 it 8 ft 8 ft 6 ft 8 ft Model A 12 ft Model B 10 ft Model C
Answer:
New Materials Have Made Greenhouses Less ... In our garden, we recently had a major ... Besides the trends mentioned above, there are many ... Since seasonal rains will not reach your greenhouse plants, you need to ... Glass and clear plastic function in basically the ...
Step-by-step explanation:
Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string with the ground is 42.5 degrees. How high is Mark's kite above the ground? Find your answer to the nearest tenth.
Answer:I don’t understand
Step-by-step explanation:
A B C D ..........zzz
Answer:
QA = DU
yakno with the squiggly line over the equals sign
How many cubic feet will it take to the
prism below?
A. 560 ft cubed
B. 480 ft cubed
C. 280 ft cubed
D. 210 ft cubed
Answer:
C. 280 ft cubed
Step-by-step explanation:
1/2x7x5x16=280
How do I answer this ? (1 + 3x)º
44°
Answer:
132x+44
Step-by-step explanation:
(1+3x)(44)
=(1+3x)(44)
=(1)(44)+(3x)(44)
=44+132x
=132x+44
whoever answers this correctly gets brainliest
Answer:
Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)
Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.
And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.