The opportunity cost of Madeline based on the information would be 8 units of gizmos .
What is the opportunity cost of Madeline?The benefit or gain that a person might have obtained or earned if he or she had not chosen the current alternative is known as opportunity cost.
Madeline has spent $24 ($2 x 12) on the widgets in this question since she purchased 12 of them at a cost of $2 each. In this case, her opportunity cost would be the gadgets she could have purchased, which works out to $24 / $3 = 8 units.
Therefore, the opportunity cost is 8 units.
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In a GP, the sixth term is eight times the tenth term. The sum of the seventh and the eighth term is 192. Find the common ratio and the first term?
Let a(n) denote the n-th term in the GP. We're given
a(6) = 8a(10)
a(7) + a(8) = 192
In a geometric progression, consecutive terms are scaled up or down by a fixed ratio r such that
a(n) = r a(n - 1)
By substitution, we get
a(n) = r (r a(n - 2)) = r ² a(n - 2)
and we can continue the pattern down to the first term,
a(n) = r a(n - 1) = r ² a(n - 2) = r ³ a(n - 3) = … = rⁿ ⁻¹ a(1)
So we can rewrite the first two equations in terms of the first term of the GP a(1) and the common ratio r :
r ⁵ a(1) = 8r ⁹ a(1)
r ⁶ a(1) + r ⁷ a(1) = 192
Solve the first equation for r :
r ⁵ a(1) = 8r ⁹ a(1) → 1 = 8r ⁴ → r = 1/∜8 ≈ 0.5946
Solve the second equation for a(1) :
r ⁶ a(1) + r ⁷ a(1) = r ⁶ a(1) (1 + r ) = 1/(16√2) a(1) (1 + 1/∜8) = 192
→ a(1) = 6144 ∜2 / (1 + ∜8) ≈ 2724.48
can you find the measure of b plz
Answer:
b=53 degrees
Step-by-step explanation:
90 degrees - 37 degrees = 53 degrees
the diameter of a baseball is approximately 3 inches. what is its volume?
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
Answer:
14 in^3
Step-by-step explanation: had the question too and got it right
I'm really confused about this question is 7f=49
Step-by-step explanation:
given
7f = 49
f = 49/ 7
f = 7
Hope it will help :)
Answer:
7
Step-by-step explanation:
[tex]7f = 49 \\ divide \: both \: sides \: by \: 7 \\ \frac{7f}{7} = \frac{49}{7} \\ f = 7[/tex]
Isabella invested $500 at 6% annual interest, compounded quarterly. How much will her Investment be after 25 years.
Answer:
$2216.02
Step-by-step explanation:
Compound interest formula:
[tex]FV=PV(1+\frac{i}{n})^{nt}\\\\FV=500(1+\frac{.06}{4})^{25*4}\\\\500(1.015)^{100}\\=2216.02[/tex]
What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units
Answer:(-4,6)
i dunno it in units lol sowwy
Step-by-step explanation:
The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 books
and the newly designed area has 307 books. Find the number of books in the second storage unit of the library.
Use the variable b for the number of books.
Answer:
221 books
Step-by-step explanation:
a hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom. there are 575 stalks of flowers in the ballroom altogether. how many tulips are there
Answer:
200 tulips
Step-by-step explanation:
The computation of the number of tulips are shown below:
Given that
Ratio of number of tulips to number of ratios is 2:3 we can write 8:12
And, the peonies to roses are 1:4 we can write as 3:12
So,
Tulips : Roses : Peonies
8:12:3
Now
Total units of flowers + 8 + 12 + 3
= 23
For tulips it would be
= 575 × 8 ÷ 23 units
= 200 tulips
Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?
Answer:
4.9%
Step-by-step explanation:
PLS ITS URGENT
Question
LE
Find the measure of 2B. Use the inverse tangent (tan-') function of your calculator. Express your answer
to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = [tex]\frac{opp}{adj}[/tex]
Tan B = [tex]\frac{15}{16}[/tex]
B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
Help me please I need the answer for questions 9 part A and Part B
Answer:
Part A:
c = 4 + 1.50h
c = 1 + 3h
Part B:
2 hours
$7
Step-by-step explanation:
Part A:
Number of hours = h
Cost = c
Cost for Ice Dream:
c = 4 + 1.50h
Cost for Skating Paradise:
c = 1 + 3h
Part B:
Set the equation equal to each other and solve for h:
4 + 1.50h = 1 + 3h
Collect like terms
4 - 1 = -1.50h + 3h
3 = 1.50h
Divide both sides by 1.50
3/1.5 = h
2 = h
h = 2
The cost for both locations would be equivalent at 2 hours
✔️The cost is:
4 + 1.50h = 1 + 3h
4 + 1.50(2) = 1 + 3(2)
4 + 3 = 1 + 6
7 = 7
The cost is $7
you order items from a menu that total $10.75. your bill comes to $11.66, including tax. what is the percent of increase (tax)
i would love if someone can help me please it is due on the 19th
Answer:
-o.91
Step-by-step explanation:
first u - 10.75 by 11.66 and then u get the answer
one bar of candy A and two bars of candy B have 769 calories. Two bars of candy A and one bar of candy B contain 776 calories. Find the caloric content of each candy bar.
Step-by-step explanation:
Hjqjzjzj is a complete* of the following elements has the largest atomic size in the world is the difference between human rights
Answer:
We know:
A+2B=777
2A+B=789
Let's rearrange the first equation to solve for A:
A=777-2B
Now let's plug 777-2B in for A in the second equation, and solve for B:
2(777-2B)+B=789
1554-4B+B=789
1554-789=3B
765=3B
B=255
Now we can substitute 255 in for B in the first rearranged equation, and solve for A:
A=777-2(255)
A=777-510
A=267
So candy bar A has 267 calories, and candy bar B has 255
I Hope it helps
Задача
Из двух пунктов
одновременно навстречу
друг другу вышли два
человека. Один двигался со
скоростью 2,6 км/ч, а другой
Со скоростью 1,3 км/ч. Какое
расстояние они прошли
вместе, если встретились
через 2,1ч?. .
помогите пожалуйста
Answer:
Sorry. I can't answer your question because I can't understand that language. Can you put translate it in English?üç basamaklı en küçük pozitif tam sayı ile Bir basamaklı en büyük negatif tam sayının toplamı kaçtır?
A)998 B)990 C)99 D)91
Describe what you notice when you create the inverse ratio.
what is the value of f in f/3+22=17
Answer:
F = 15
Good luck! Have a wonderful day!
Without making any calculations, which data set has the smallest standard deviation?
O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2
Answer:
the last set: {1, 1, 1, 1, 2, 2, 2, 2}
Step-by-step explanation:
Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.
We notice that there is one set where all values are very close to the average . This is the set:
{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.
Q10) A book was sold for Rs. 550 with a profit of 10%. What was its cost price? *
Answer:
CP = Rs 500
Step-by-step explanation:
Given that,
Selling price of a book, SP = Rs 550
Profit percent = 10%
We need to find the cost price of the book. The formula for profit percent is given by :
[tex]P\%=\dfrac{SP-CP}{CP}\times 100\\\\\dfrac{10}{100}=\dfrac{550-CP}{CP}\times 100\\\\\dfrac{1}{10}=\dfrac{550-CP}{CP}\\\\CP=5500-10CP\\\\CP+10CP=5500\\\\11CP=5500\\\\CP=500[/tex]
So, the cost price of the book is Rs 500.
help please!!! thanks
Answer:
27
Step-by-step explanation:
first we can simplify by dividing by r
[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]
the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1
finally we can evaluate when r =3,
9r = 9(3) = 27
raíz cuadrada de 19384
Answer:
WHat does that mean?/
Step-by-step explanation:
which pair of numbers has an Lcm of 24?
Answer:
12 and 12
Step-by-step explanation:
12lcm +12lcm=24lcm
Find the average rate of change
Replace x with 1 nd solve, then replace x with 3 and solve:
x^3 - 2x^2 +3x
When x = 1: 1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3
When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18
The difference between the two solutions is 18-3 = 15
The difference between the two x values = 3-1 = 2
The rate of change is 15/2 or 7.5 as a decimal.
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
Find an equivalent ratio for the ratio 6 to 7.
42
53
13
14
54
36
49
Hi there!
Finding the equivalen ratio means to find a equivalent numbers that’s equivalent to 6 and 7 which also means a number that 6 and 7 all goes into...
6,12,18,24,30,36,42
7,14,21,28,35,42
Final Result: 42
What is the area of this quadrilateral?
Answer:
c
Step-by-step explanation:
round to the nearest hundredth
Answer: 0.06
Step-by-step explanation:
2/(3+25+2)=0.06
Please help for instant brainliest.
find the result when you subtract (5y+9z)to(4y-7z)
A. -y-16z
B.-y+16z
C.9y+2z
D.9y-2z
ue
deg
отім . opea . 1əqo
Learning Task 1: Name a positive or
situation. Write your answer in your noteb
1. Saving 25php
2. 6 feet below the ground
3. what is the opposite of -6
4. When a player to a basketball team
against their opponent.
5. what is the sum of -8 + 8?
.
Answer:
1.+25
2 -6
3 +6
4.
5. 0
Step-by-step explanation:
Sana Makatulong