The total inventory costs consist of two parts: the cost of storing the shoes and the cost of reordering the shoes. The cost of storing the shoes is given by the formula:
Cost of storing = $6 per shoe pair per year x number of shoe pairs
Since the shoes are stored for a year, this cost is incurred annually. The cost of reordering the shoes is given by the formula:
Cost of reordering = $14 per order + $7 per shoe pair x number of shoe pairs
This cost is incurred each time the store places an order with the manufacturer.
Let x be the number of shoe pairs in each order from the manufacturer. The number of orders needed to sell 1750 shoe pairs each year is given by:
Number of orders = 1750 shoe pairs / x shoe pairs per order
The total inventory costs can be expressed as:
Total cost = Cost of storing + Cost of reordering
Substituting the formulas for the two costs and the expression for the number of orders, we get:
Total cost = $6 per shoe pair per year x 1750 shoe pairs + ($14 per order + $7 per shoe pair x x shoe pairs) x (1750 shoe pairs / x shoe pairs per order)
Simplifying this expression, we get:
Total cost = $10,500 + $14(1750/x) + $7(1750)
Total cost = $10,500 + $24,500/x
Therefore, the function that models the total inventory costs as a function of x is:
Total cost(x) = $10,500 + $24,500/x
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help ME PLEASE HELP ME I HATE MATH I HATE IT YOU DONT NEED TO EXPLAIN IT I JUST NEED AN ANSWER
Answer:
674
Step-by-step explanation:
Answer:
woah woah woah woah calm down there buddy its 674 :)
Rita borrowed $7500 at an interest rate of 3%. The interest paid is $1462.50.
For how many years did she borrow the money?
will mark brainliest
Answer:
6.5 years
Step-by-step explanation:
Simple interest formula: \(A=P(1+rt)\)
where:
\(A\) = final amount\(P\) = principal amount\(r\) = annual interest rate (as a decimal)\(t\) = time (in years)Given:
\(A = 7500 + 1462.50 = 8962.50\)\(P = 7500\)\(r = 3\% = 0.03\)\(\implies 8962.5=7500(1+0.03t)\)
\(\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)\)
\(\implies t=6.5\)
Therefore, she borrowed the money for 6.5 years
8.65 percent compounded monthly. (Round answer to 2 decimal places, e.g. 15.25%.) Effective annual rate \%
The effective annual rate for a 8.65% interest compounded monthly is 9.14%.
To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.
We can use the formula for compound interest to calculate the effective annual rate:
Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1
Plugging in the given values:
Effective Annual Rate = (1 + (8.65% / 12))^12 - 1
= (1 + 0.0072083)^12 - 1
= 1.0072083^12 - 1
≈ 0.0914 or 9.14%
Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.
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3/5 converted to a decimal and percent. pls show work
Answer:
0.6
Step-by-step explanation:To find this answer, you must thinkk of the slash inbetween the numerator and the denominator. So divide the 3 bye the 5. Use a calculator if needed. 3/5=0.6 Hope this helped plz mark brainliest.
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s. a = 120°, s =9 ft
The radius of the circle is 1.3636...ft (approx).
Given, the central angle a = 120° and the arc length s = 9 ft.
The formula to find the radius of a circle is given as: R = (180 × s)/(π × a)
Where, R = radius of the circle
a = central angle in degrees
s = arc length
π = 3.14
Substitute the given values in the formula, R = (180 × 9)/(3.14 × 120)R = 1.3636...ft (approx)
Therefore, the radius of the circle is 1.3636...ft (approx).
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3(2-4x)=-30 with justfity steps
Answer:
x = 3
Step-by-step explanation:
3(2 - 4x) = -30
=>6 - 12x = -30
=> 12x = 36
=> x = 3
what is the volume of the square pyramid with the square base that is 7 centimeters by 7 centimeters and the height is 8 centimeters? round the answer to the nearest hundredth.
Answer:c
Step-by-step explanation:
i did the test
A package of 11 sliced oranges cost $6.27. How much would a package with 19 sliced oranges cost at the same price per slice?
Answer:
$10.83
Step-by-step explanation:
Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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Write an equation of the form x^2+bx+c=0 in standard form with solutions of x=-3 and x=8
To find an equation in standard form with solutions x = -3 and x = 8, we can use the fact that the solutions of a quadratic equation are the values where the equation equals zero.
If x = -3 is a solution, then (x + 3) = 0 is a factor of the quadratic equation.
If x = 8 is a solution, then (x - 8) = 0 is a factor of the quadratic equation.
To find the equation, we can multiply these factors together:
(x + 3)(x - 8) = 0
Expanding this product, we get:
x^2 - 8x + 3x - 24 = 0
Combining like terms:
x^2 - 5x - 24 = 0
Therefore, the equation of the form x^2 + bx + c = 0 with solutions x = -3 and x = 8 is:
x^2 - 5x - 24 = 0
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Prove: An odd number cubed is an
odd number.
n +
(2n + 1)3 = [ 2 ]n3 + [ ]n2 + [
[](4n3 + 6n2 + 3n) +
= an odd
Let n be any odd integer. Then n = 2k + 1 for some integer k.
So
n ³ = (2k + 1)³
… = (2k)³ + 3 (2k)² + 3 (2k) + 1
… = 8k ³ + 12k ² + 6k + 1
… = 2 (4k ³ + 6k ² + 3k) + 1
is also odd, since 4k ³ + 6k ² + 3k is just another integer.
What is the slope of the given slide?
\(\text{Slope,~} \tan \theta =\dfrac{15}{18}=\dfrac 56\)
The ratio of oxygen atoms to sulfur
atoms in sulfur dioxide is always the same.
The table shows the numbers of atoms
in different quantities of sulfur dioxide.
Complete the table. (Explore Activity 1)
The complete table is
Sulfur atoms 6 9 12 27
Oxygen atoms 12 18 24 54
What are Ratios:
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
A ratio can be compared by the division of two numbers. For example, the ratio of a and b can be represented as a: b and read as a is to b. Here a: b can be written as a/b
Here we have
The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. The table shows the number of atoms in different quantities of sulfur dioxide.
The given table is
Sulfur atoms 6 9 12 ___
Oxygen atoms 12 __ ___ 54
Let x, y, and z be the missing values in the table
Given that ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same.
=> 12/6 = x/9 = y/12 = 54/z
Now the x, y, and z values can be calculated as follows
Take 12/6 = x/9
=> 2 = x/9
=> x = 18
Take 12/6 = y/12
=> 2 = y/12
=> y = 24
Take 12/6 = 54/z
=> 2 = 54/z
=> z = 54/2
=> z = 27
Therefore,
The complete table is
Sulfur atoms 6 9 12 27
Oxygen atoms 12 18 24 54
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The complete Question is given in the picture
how many bit strings of length seven either begin with two 0s or end with three 1s?
There are 40 such bit strings.
To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.
Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.
Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.
The size of A can be calculated as follows:
since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,
so there are \(2^5 = 32\) possible strings that begin with two 0s.
Similarly, the size of B can be calculated as follows:
since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,
so there are\(2^4 = 16\) possible strings that end with three 1s.
However, we have counted the strings that both begin with two 0s and end with three 1s twice.
To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.
The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,
where the x's can be any combination of 0s and 1s.
There are \(2^3 = 8\) such strings.
Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:
|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.
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evaluate the expression above to find the probability that exactly 5 of the ten individuals in the sample have consumed alcohol. round your answer to three decimal places.
To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:
- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem
If you provide the value of p, I can help you calculate the probability.
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solve in attachment....
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
\(\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx \)
Here 5 is a constant so it can come out . So that,
\(\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx \)
Now we can write √x as ,
\(\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx \)
Simplify ,
\(\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx \)
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
\(\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) \)
On simplifying we will get ,
\(\longrightarrow \underline{\underline{ I = 2 }}\)
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
\( \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx\)
use constant integration rule which yields:
\( \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx\)
notice that we can rewrite √x using Law of exponent therefore we obtain:
\( \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx\)
once again use law of exponent which yields:
\( \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx\)
use exponent integration rule which yields;
\( \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} \)
simplify which yields:
\( \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} \)
recall fundamental theorem:
\( \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} \)
simplify:
\( \displaystyle 2 \)
hence
our answer is A
344/299 = x
what is x?
Answer:
Mixed Number Form: x = 1 45/299
Decimal Form: x = 1.15050167…
Step-by-step explanation:
Suppose y = – 3x2 – 15x – 11 was written in the form y = a(x – h)2 + k.
What is the value of a?
a) = -5
b) a= -3
c) a = 5
d) a = -11
Answer:
b) -3
Step-by-step explanation:
You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.
Leading coefficientThe leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.
Ramon earns $1,710 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month? SHOW WORK!
Answer:
3.1% of Ramon's earning are spent on electricity.
Step-by-step explanation:
Ramon's monthly salary
= $1,710
Electricity rent
=$53.60
*work show below*
\(\frac{53.60}{1,710} *100\)
0.0313450292397661*100=3.134502923976608
3.134502923976608 rounded to the nearest tenth is 3.1%...
Thus my-our answer checks out! have a great day bestie!
A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 888 Choose 1 answer:
The possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888, for the given one degree of freedom.
To find a 3rd degree binomial with a constant term of 888, we can start by writing the general form of a 3rd degree binomial: ax^3 + bx^2 + cx + d.
Since we want the constant term to be 888, we can set d = 888.
Now, we need to choose values for a, b, and c. We have one degree of freedom, so we can choose any values for a, b, and c as long as they satisfy the condition of being a 3rd degree binomial.
For example, let's choose a = 1, b = 2, and c = 3.
Therefore, a possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888.
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the sum of a number and two thirds the number is the same as 4 less than twice the number
12
Step-by-step explanation:
n + (2/3)n = 2n - 4
(5/3)n = 2n - 4
(5/3)n - 2n = -4
(-1/3)n = -4
n = 12
Becky is 7 year older than half of Bryan's age. If Bryan is 36 how old is becky ?
Answer: Im going to guess 25
Step-by-step explanation: bryan is 36 half of 36 is 18 and becky is 7 years older than 18 which half so you would do 18+7=25 there is your answer.
I THINK DONT QUOTE ME ON THAT ANSWER
Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)
A school swim team has 36 swimmers. The ratio of seventh graders to eighth graders is 2 to 7. How many seventh grade swimmers are there? 9
Part A
The amount of money you bring in from selling balloons is called revenue. Construct and
solve a model to determine the number of balloons you will need to sell to have revenue
of $40. Be sure to define your variables.
HELP
Answer:
As the sucrose concentration is higher in the solution, the water in the balloon, where the sucrose is less concentrated, will tend to leave and try to dilute the outer solution until both sucrose concentrations are equal. But as the water leaves the balloon, the concentration inside will increase, so it will flow outside until both concentrations are equal and not until the outer concentration is similar to the initial concentration in the balloon.
Step-by-step explanation:
Hope this helps:)
Alexandra is fishing from a small boat. A fish swimming at the same depth as the hook
at the end of her fishing line is 5 meters away from the hook. If Alexandra is 13 meters away
from the fish, how far below Alexandra is the hook?
Answer:
12 m
Step-by-step explanation:
Here's a picture to show the problem.
boat
--------------------------------------------
~~~~~~~~~~~\ /~~~~~~~~~~~~~~~~~~~~~~~~
\-----------Alexandra ---------/ surface of the water
|\
| \
| \
| \
d | \ 13 m
| \
| \
| \
| --- rt < \
hook -----|------------------------------ fish
5 m
There is a right angle at the hook. We have a right triangle with leg d, the distance we need to find, leg 5 m, and hypotenuse 13 m.
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
Answer: 12 m
Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
help me with dis question please
The area of the given figure is 20cm².
What is a kite?
A quadrilateral called a kite has two pairs of sides that are each the same length and are next to one another.
What is area of a kite?
A kite's diagonals are perpendicular. The area of a kite is calculated as half of the diagonal product, which is the same as the area of a rhombus. The formula: can be used to express the area of a kite.
Area of Kite =1/2×D1×D2
D1 is the kite's long diagonal.
D2 is the kite's short diagonal.
when we draw the figure in coordinate system we find that it is shape of a kite,
so area of kite = 1/2*4*4+1/2*4*6
= 20 cm²
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WHAT IS THE ANSWER PLZ HELP
WILL GIVE BRAINLIEST FOR CORRECT ANSWER!
There are 300 students in the 9th grade and each student is assigned a locker. The 300 students start down the hall one at a time. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third student changes the lockers that are multiples of 3 (which means if a locker is closed, they open it. If the locker is open, they close it.) The fourth student changes all the lockers that are multiples of 4. This continues until the 300th student changes the 300th locker. Then, the principal walks down the hall, and changes all the lockers that are prime numbers. At the end, how many lockers will be closed?
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289
Step-by-step explanation:
The pattern will lead to the answer being all the perfect squares from 1 to 300.