Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.
What is the frosted area of the top cake? (Round to the nearest tenth)
What is the frosted area of the bottom cake? (Round to the nearest tenth)
What is the total surface area of cake that will be frosted?
Answers
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
Related Questions
On his last 5 math tests, Gilbert earned: 94, 72, 83, 94, 90. What was his average score? ( Report your answer to the tenths place).
Answers
Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o
Answers
Answer:
i think its 3 in all the boxes but trying is better than not ig wait no nvm
Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
Answers
The ordered pair (10,3) is in quadrant:
Answers
Answer:
1
Step-by-step explanation:
ordered pairs with both positive numbers are in Q1
Answer:
That would be the first quadrant, also known as the I quadrant and the top right quadrant.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
A summer movie club charges a $30
membership fee and then $5 per movie.
Which equation can be used to find y, the
total cost of the movie club, if x represents
the number of movies watched.
Is B right?
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The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answers
Answer:1 2 DNE
Step-by-step explanation:
Answer:
1
2
DNE
Step-by-step explanation:
what scale factor is applied to shape b to make shape a? I need help asap please
Answers
Answer:
For shape B to make shape A all numbers in shape B would have to be divided by 1.5
Step-by-step explanation:
POSSIBLE POINTS: 6
Solve each equation and match the solution.
e+8=31
t−25=54
32=y −21
14=b−12
x+8.95=21.95
n +21 =32
Answers
Answers,
1. 23
2. 79
3. 53
4. 26
5. 13
6. 11
How I did this,
What I did was subtract 8 from 31 to get ( e ) by itself.
This subject will get harder so I reccomend you focus on school and learn how to do this.
Brainliest goes to whoever explains the answer best pls help
Answers
Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
[2] y = 5x + 19
// Plug this in for variable y in equation [1]
[1] (5x+19) + 3x = 3
[1] 8x = -16
Solve equation [1] for the variable x
[1] 8x = - 16
[1] x = - 2
By now we know this much :
y = 5x+19
x = -2
Use the x value to solve for y
y = 5(-2)+19 = 9
Answer (-2,9)
Evaluate the algebraic expression for the given value(s) of the variable(s).
2x 2 - 7xy + 3y 2 ; x = -3, y = 4
Answers
Answer:
-18
Step-by-step explanation:
2x²-7xy+3y²
2(3²)-7(3)(4)+3(4²)
2(9)-84+3(16)
18-84+48
18+48-84
-18
What are the coordinates of point A
Answers
Answer:
The coordinates of point A are (-4, 3)
hope it helps
Answer:
The coordinates of point A is (-4,3)
Step-by-step explanation:
(x,y)
X= -4
Y= 3
an investment of 12,000 is losing value at a rate of 4% each year. what is the exponential function to model the situation after 9 years
Answers
Answer:
Amount after 9 year = 8,310 (Approx.)
Step-by-step explanation:
Given:
Amount invested = 12,000
Rate on decline = 4% per year = 0.04
Number of year = 9
Find:
Amount after 9 year
Computation:
A = P[1+r]ⁿ
A = 12,000[1-0.04]⁹
A = 12,000[0.96]⁹
A = 12,000[0.6925]
Amount after 9 year = 8,310 (Approx.)
Find an equivalent fraction 1/8 = x/56
Answers
Answer: I think it’s 1/8 = 7/56
The value of an equivalent fraction is,
⇒ 1/8 = 7/56
We have to given that,
A fraction to solve,
⇒ 1/8 = x/56
Now, We can simplify as,
⇒ 1/8 = x/56
Cross multiplication,
⇒ 56 = 8x
⇒ x = 56/8
⇒ x = 7
Therefore, The value of an equivalent fraction is,
⇒ 1/8 = 7/56
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Help me please, please
Answers
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.
Step-by-step explanation:
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answers
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?
Answers
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
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help me please!! i’m confused!!
Answers
the equation is (9+6)+4=(5+ blank)+4
Answers
Answer:
10
Step-by-step explanation:
(9 + 6) + 4 = (5 + x) + 4
15 + 4 = 5 + x + 4
19 = x + 9
19 - 9 = x
10 = x
How to show work on this one topic is angles formed by 2 chords and secants
Answers
Answer:
Step-by-step explanation:
You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%
interest. How much do you need to deposit each month to meet your retirement goal?
Round your answer to the nearest cent.
Do NOT include the dollar sign.
Answers
Answer: 123.05
Use annuity formula
Answer:
Step-by-step explanation:
Since we're talking about making a deposit of a certain amount every month rather than just one big deposit, we are talking about an annuity. The formula for the value of an annuity is A(t)=d[(1+rn)nt−1](rn) where A(t) is the value of the annuity, d is the amount of each deposit, n is the number of deposits per year, t is the number of years, and r is the rate of interest. In this case we know we want the value of the annuity to be A(t)=$150,000, we want to make deposits every month, or 12 times a year, so n=12, we want to reach our desired value in 30 years, so t=30, and our account earns 7% interest, so r=0.07. We can plug in all of these values and solve for d to find the amount we need to deposit each month:
A(t)150,000150,000150,000d=d[(1+rn)nt−1](rn)=d[(1+0.0712)12⋅30−1]0.0712≈d[(1.00583)360−1]0.00583≈1,219.97d≈122.95
The amount you need to deposit each month is approximately $122.95.
if d is 55 degrees then what is F and E degrees. Explain how you know
Answers
Answer:
F=55
E=70
Step-by-step explanation:
The total degree of a triangle is 180.
So we have 180-55*2
E=180-110
E=70
What is the value of B?
Answers
Answer:
The value of B is 0 because going down from the middle is all negative and going up from point B is all positive so the answer is 0 degrees
Step-by-step explanation:
Answer:
in linear pair
90+a+24=180
a=180-90-24=66°
B°=90+a=90+66=156°
the value of B°=156°
How much money is needed to be invested now to obtain $12,100 8 years from now if this amount is invested at 7.25% compounded continuously?
Answers
Answer:
$6,911.92
Step-by-step explanation:
Given the following
Amount A = $12,100
Time t = 8yrs
Rate r = 7.25%
Required
Principal P
Using the compound interest formula;
A = P(1+r)^n
12,100 = P(1+0.0725)^8
12,100 = P(1.0725)^8
12100 = 1.7506P
P = 12,100/1.7506
P = 6,911.92
Hence the amount invested would have been $6,911.92
5 divided by 1/4
go straight to the answer
Answers
Answer:
20
Step-by-step explanation:
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answers
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
B
7
25
с
24
А
Find sin(a) in the triangle.
Answers
Answer: 7/25
Step-by-step explanation:
got it correct on khan academy
A robot packs boxes in a factory. it runs at a constant speed, and packs 10 boxes in 9 minutes. if the robot operated for 180 minutes on Monday, how many boxes did it pack
Answers
is 2/3 equal to 2/4 ? if not is it greater
Answers
Answer:
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
Step-by-step explanation: