Answer:
The EOQ formula cannot be used here because the price of the goods varies according to the size of the purchase order. In this case, the order quantity that decreases annual inventory costs is 3,000 units per order, and total annual inventory costs = $89,060.67.
Step-by-step explanation:
if we apply the EOQ formula:
Economic order quantity (EOQ) = √[(2 x S x D)/H]S = ordering cost = $28D = annual demand = 6,500H = holding cost = $3EOQ = √[(2 x $28 x 6,500)/$3] = 348.33 ≈ 348 boxestotal annual inventory cost = [(6,500 / 348) x $28] + [(348 / 2) x $3] + (6,500 x $16) = $522.99 + $522 + $104,000
but if the company tried to benefit from discounts due to higher order quantities, total annual cost would be lower:
[(6,500 / 1,000) x $28] + [(1,000 / 2) x $3] + (6,500 x $14) = $182 + $1,500 + $91,000 = $92,682
[(6,500 / 3,000) x $28] + [(3,000 / 2) x $3] + (6,500 x $13) = $60.67 + $4,500 + $84,500 = $89,060.67
Jason invests $325 in a bank account. The bank has an annual
interest rate of 24%. How much interest did his investment earn
after one year?
The amount of interest earned by Jason is $78.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.
Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.
Given that Jason invests $325 in a bank account. The bank has an annual interest rate of 24%.
The interest will be calculated as:-
SI = ( P x R x T ) / 100
SI = ( 325 x 24 x 1 ) 100
SI = $78
Hence, the simple interest is $78.
To know more about simple interests follow
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Find the maximum and minimum values of the function g ( θ ) = 5 θ − 6 sin ( θ ) on the interval [ 0 , π /2 ]
Answer:
Minimum value of the given function is 0
Maximum value of the given function
[tex]\frac{5\pi -12}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given function g ( θ ) = 5 θ − 6 sin ( θ ) ...(i)
Differentiating equation (i) with respective to 'θ'
g¹ ( θ ) = 5 − 6 cos ( θ ) ...(ii)
g¹ ( θ ) = 5 − 6 cos ( θ ) =0
5 = 6 cos ( θ )
cos ( θ ) = 5 /6
Step(ii):-
Again Differentiating equation (ii) with respective to 'θ'
g¹¹ ( θ ) = − 6 (-sinθ ) = 6sinθ
Given interval
θ = 0 and θ= π/2
g ( 0 ) = 5 (0) − 6 sin ( 0 ) = 0
g(π/2) = 5(π/2) - 6 sin (π/2)
= 5(π/2) - 6
= [tex]\frac{5\pi -12}{6}[/tex]
What are the clear steps for solving for x question (5x + 2)
Answer:
x= -2/5
Step-by-step explanation:
(5x+2)=0
-2 -2
5x=-2
------------
5
x= -2/5
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y =1/3x + 4.
Answer:
y= -3x + 5
Step-by-step explanation:
negative reciprocial of the slope:
m=1/3
m=-3
Subsitube the point (1,2) into y=mx+b with new slope and solve for b:
y=mx+b
2=-3(1)+b
b=5
Equation:
y=-3x+5
Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the length in meters of Anita's kicthen
Answer:
2 1 ÷ 2
Step-by-step explanation:
Given that
The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters
And, the width of her kitchen is 1 and 1 ÷ 2 meter
So based on the above information, the length of Amita kitchen is
Here you divide the rectangular area by the width
= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)
= 2 and 1 ÷ 2
Hence, the length in meters of Anita's kitchen is 2 and 1 ÷ 2
Michael cleans 90 cars in 5 days how many cars does Michael clean per day
Answer:
Michael cleans 18 cars in one day
Step-by-step explanation:
The equation should look like this: 90/5 = x
90/5 = 18
x = 18
Hope this helps ya! Keep smiling!
Answer:
18
Step-by-step explanation:
all you have to do is divide 90 and 5
A hot air balloon is climbing at a constant rate into the sky. The equation y = 9x + 10 can be used to represent this situation, where y is the height of the hot air balloon in feet above ground and x is the number of seconds the balloon has been climbing.
Answer:
From the starting position of 10 feet above ground, the balloon is climbing 9 feet per second.
Step-by-step explanation:
I need help plz!!!!
HELLLPPP!!! how many gallons of oil were introduced into the gulf of ecosystem in 7 weeks?
the spill lasted for approximately 28 weeks, how much oil entered into the gulf due to the disaster?
A number is greater than -4 and less than 9. what is the least possible integer value of this number?
A. 8
B. 10
C. -3
D. -5
Answer:
ther is no answer above
Step-by-step explanation:
b/c the least possible inyeger is 12
thes are -3,-2,-1,0,1,2,3,4,5,6,7,8
Inflation and Interest Rates: Tutorial
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Question
Consider a simple economy where the basket of goods used to calculate the CPI contains two items shampoo and soap.
The basket consists of 1 bottle of shampoo and 2 bars of soap. The prices are shown in the table.
Year Price of a Bottle of Shampoo Price of a Bar of Soap
Year
36 50
$1.25
Year
$5.00
$1.30
Type the correct answer in the box. Round your answers to two decimal places, if necessary.
The CPI for year 2 is
Submit
Answer:102.22
Step-by-step explanation:
Answer:
2.22%
Step-by-step explanation:
Recall that year 1, the base year, has a CPI of 100.
From question 1, we know that the CPI of year 2 is 102.22.
To find the rate of inflation, find the percent change from year 1 to year 2:
102.22-100= 0.0222, or 2.22%
_________
100
Write an inequality for the following statement. A is greater than 7
Answer: A>7
Step-by-step explanation:
If a total of 20 cups of onions and carrots were used, how many batches did the chef make? 4 batches 5 batches 8 batches 10 batches
Answer:
The answer is 4 batches I tried it and it was right
Step-by-step explanation:
Answer:
its A i got it right
Step-by-step explanation:
X/4 -3 = 1/3 + 2x solve for x
Answer:
Step-by-step explanation:
[tex]\frac{x}{4}[/tex] - 3 = [tex]\frac{1}{3}[/tex] + 2x ...... (1)
(1) × 12 :
3x - 36 = 4 + 24x
21x = - 40
x = - [tex]\frac{40}{21}[/tex] = [tex]-1\frac{19}{21}[/tex]
-3y^*2 =-48 show work
Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students
Convert to slope intercept form: 3x-4y=8 then graph the line on the grid
Answer:
y=3/4x-2
a=(8/3,0)
b=(0,-2)
m=3/4
Step-by-step explanation:
STEP 1
3x-4y =8 substract 3x from both sides
-4y=-3x+8 divide -4 to everything
y=3/4x-2
STEP 2
substitute 0 for y and solve for a (x-intercept)
Evaluate the expression 21 + 2w for / = 5.7 and w = 6.2. Enter your answer in the box.
6.2
Answer:
23.8
Step-by-step explanation:
2l+2w for l=5.7 and w=6.2
2*5.7+2*6.2 first multiply
11.4+12.4 then add
23.8
The length of one side of a square is 3n+2. The perimeter of the square is 4(3n+2). Which expression is equivalent to the perimeter
Answer:
4(3n + 2)
Step-by-step explanation:
as we know perimeter of a square is 4 x side
one side is 3n + 2
4 sides = 4(3n +2)
please help I need in within 5 minutes
Answer:
2415.8
Step-by-step explanation:
Answer: 2509.8 i think that is the correct answer
Step-by-step explanation:
in the library, there are 9 rectangular tables with 8 pupils each and square tables with 4 pupils each. how many square tables ar needed so that 100 pupils can read at the same time?
Answer:
9 rectangular tables and 7 sqaure tables
Step-by-step explanation:
9 x 8 = 72
100-72=28
4x7=28
Order the numbers from least to greatest.
4/5, -1.6, -4/3, 0.9, 2/3
PLS HELP
Answer:
-1,6<-4/3<2/3<4/5<0.9
Step-by-step explanation:
A car travels 120 miles in 3 hours. What is the constant speed of the car in miles per hour?
Answer: the car travels 40 miles per hour
Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours
You pay 6% sales tax on a $250 purchase. How much was the tax?
Answer:
15
Step-by-step explanation:
To find the tax multiply the cost of the item by 6%
250 * 6%
Change to decimal form
250 *.06
15
Answer:
15
Step-by-step explanation:
convert the percentage to a decimal
6/100 = 0.06
then times by the number you given
6% x 250
Here is some information from the practice round for several new Click Bots.
Determine the missing values. Enter them in the table.
Then describe your strategy.
Answer/Step-by-step explanation:
✅Azure:
Clicks = 17
Time (secs) = 2
Unit rate (clicks/sec) = [tex] \frac{17}{2} = 8.5 [/tex]
✅Bronze:
Clicks = 38
Time (secs) = 4
Unit rate (clicks/sec) = [tex] \frac{38}{4} = 9.5 [/tex]
✅Camson:
Clicks = 26
Time (secs) = ? = x
Unit rate (clicks/sec) = 10.4
Thus: [tex] \frac{26}{x} = 10.4 [/tex]
Multiply both sides by x
[tex] 26 = 10.4*x [/tex]
Divide both sides by 10.4
[tex] \frac{26}{10.4} = x [/tex]
[tex] 2.5 = x [/tex]
Time (secs) = x = 2.5
✅Desert:
Clicks = ? = x
Time (secs) = 4.2
Unit rate (clicks/sec) = 8.33
Thus: [tex] \frac{x}{4.2} = 8.33 [/tex]
Multiply both sides by 4.2
[tex] x = 8.33*4.2 [/tex]
[tex] x = 34.986 [/tex]
Clicks = x ≈ 35
✅ Emerald:
Clicks = 3
Time (secs) = ? = x
Unit rate (clicks/sec) = 7.5
Thus: [tex] \frac{3}{x} = 7.5 [/tex]
Multiply both sides by x
[tex] 3 = 7.5*x [/tex]
Divide both sides by 7.5
[tex] \frac{3}{7.5} = x [/tex]
[tex] 0.4 = x [/tex]
Time (secs) = x = 0.4
✅Fuschia:
Clicks = ? = x
Time (secs) = 0.75
Unit rate (clicks/sec) = 8
Thus: [tex] \frac{x}{0.75} = 8 [/tex]
Multiply both sides by 0.75
[tex] x = 8*0.75 [/tex]
[tex] x = 6 [/tex]
Clicks = x ≈ 6
Please help and explain how you got your answer I will give brainliest :(
Answer:
25/100 or 1/4
Step-by-step explanation:
the 2 shaded rows on the top are both 10 and the bottom shaded row is 5 so the equation would be 2×10+5
Answer:
0.25
Step-by-step explanation:
The model represents one whole number (1)
Each square represents .01 of the whole number.
So if you add all the shaded squares together, you would get 25 shaded, which means the answer would be 0.25
hope this helps :)
Find the missing value in the ratio table.
100000000000000000000
A) complementary
B) alternate exterior
C) corresponding
D) linear pair
maya wrote the expresion
x/-4 =9 i need help with this fraction.
Answer:
= -36
Step-by-step explanation:
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