Tutors Answer Your Questions about expressions (FREE)
Question 1205680: Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.
The volume of these cages is given by the function V b 6 9 b b = 3 2 − + .
(i) Find an expression for the length of each side of the square bottom.
(ii) Use the function to find the volume of a cage with a height of 18 inches.
(iii) Use the remainder theorem to find the volume of a cage with a height of 15 inches
Click here to see answer by josgarithmetic(39623)  |
Question 1205680: Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.
The volume of these cages is given by the function V b 6 9 b b = 3 2 − + .
(i) Find an expression for the length of each side of the square bottom.
(ii) Use the function to find the volume of a cage with a height of 18 inches.
(iii) Use the remainder theorem to find the volume of a cage with a height of 15 inches
Click here to see answer by ikleyn(52831)  |
Question 1205860: Below was a school assessment question:
" The organizers of a school play estimate that half the students
who attend will bring an adult guest. If s represents the number
of students expected to attend the play, which expression represents
the total expected attendance?"
1). s + s/2
2). s + 2s
3). s/2
4). 2s
Please explain the reasons of the correct answer.
Click here to see answer by MathLover1(20850)  |
Question 1207637: I would like to explain and solve the math word problem.
"John and a friend went to a restaurant. John paid the for
the food and he also gave the cashier an additional 10% of
the food bill that he paid. The total amount he paid for
the restaurant bill (including the 10%) was $44.00. How much
money did he pay for the food, and what was the amount of money
that represented the 10% of the money that he paid?"
Click here to see answer by ikleyn(52831) |
Question 1207771: I need to know the answer and the explanation of the following math word problem.
"The organizers of a school play estimate that half the students
who attend will bring an adult guest. If s represents the number
of students expected to attend the play, which expression represents
the total expected attendance?"
1). s + s/2
2). s + 2s
3). s/2
4). 2s
Click here to see answer by josgarithmetic(39623) |
Question 1207771: I need to know the answer and the explanation of the following math word problem.
"The organizers of a school play estimate that half the students
who attend will bring an adult guest. If s represents the number
of students expected to attend the play, which expression represents
the total expected attendance?"
1). s + s/2
2). s + 2s
3). s/2
4). 2s
Click here to see answer by ikleyn(52831) |
Question 1208445: Write the given expression as a single quotient in which only positive exponents and/or radicals appear.
[(8x + 1)^(1/3)]/[3(x - 2)^(1/2)]^(1/3) + [(x - 2)^(1/3)]/[24(8x + 1)^(1/2)]^(1/3)
Note: x does not equal 2; x does not equal -1/8
Click here to see answer by KMST(5328)  |
Question 1184044: Find a solution to the initial value problem
y′+sin(t)y=g(t), y(0)=7,
that is continuous on the interval [0,2π] where
g(t)={sin(t), if 0≤t≤π
-----{ −sin(t),if π less than"t" less than or equal to 2pi
y(t)={ My answer is 6e^(-2)+1, but is wrong,if 0≤t≤π.
---{ My answer is (6e^(-2)+2e)e^(cost)-1, but wrong, if π less than"t" less than or equal to 2pi
Click here to see answer by CPhill(1959)  |
Question 1181231: Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg,500 B vehicles which get 20mpg,and 70 C vehicles which get 40mpg. Unfortunately, the government sets a standard where companies must “average”30mpg[this is called a CAFElaw]. Any company that falls short of the 30mpg standard must pay a penalty. The penalty is calculated as $55times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard.
V Corp is beginning to make a D vehicle which gets 75mpg. They estimate initially adding 2 D vehicles to their production each month. Compute their new monthly penalty.
Click here to see answer by CPhill(1959) |
Question 1181229: Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg,500 B vehicles which get 20mpg,and 70 C vehicles which get 40mpg. Unfortunately, the government sets a standard where companies must “average”30mpg[this is called a CAFElaw]. Any company that falls short of the 30mpg standard must pay a penalty. The penalty is calculated as $55times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard.
Compute ZV Corp’s monthly penalty if the correct Harmonic Mean is used.
Click here to see answer by CPhill(1959) |
Question 1181228: Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg,500 B vehicles which get 20mpg,and 70 C vehicles which get 40mpg. Unfortunately, the government sets a standard where companies must “average”30mpg[this is called a CAFElaw]. Any company that falls short of the 30mpg standard must pay a penalty. The penalty is calculated as $55times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard.
Compute ZV Corp’s monthly penalty if the government incorrectly uses (weighted) arithmetic mean to compute average mpg.
Click here to see answer by CPhill(1959) |
Question 1176049: a client of UMOJA microfinance institution took a loan of TZS 20000000 on 2 January 2018 which charges 24% interest per annum.using reducing balance method.the loan contract indicated that the loan was supposed to be repaid in 3 months period on loan is to be charged upfront as compulsory saving.required
(a) calculate the total payment (PMT) made each period by the client.
(b) determine the interest which a client is actually paying.
Click here to see answer by CPhill(1959) |
Question 1173078: The Candido PILI Delicacies has 3 stores (A, B, C) which supplies it's 3 provincial customers (D, E, F) with their best selling product. Below is a table showing the capacity of each store, the requirements of each customer, and the cost for shipping to each customer.
Store D E F CAPACITY
A 30 40 10 150
B 20 10 50 100
C 70 20 20 250
Demand 200 160 140
Find the optimal strategy and minimum cost of transporting their best selling product from store to customer.
Click here to see answer by CPhill(1959) |
Question 1209862: Scarlett has $700,000 saved for retirement in an account earning 3.95% interest, compounded weekly. How much will she be able to withdraw each week if she wants to take withdrawals for 23 years? Round your answer to the nearest dollar.
Click here to see answer by CPhill(1959) |
Question 1209861: How much would you need to deposit in an account each month in order to have $20,000 in the account in 6 years? Assume the account earns 4% annual interest, compounded monthly. (Enter your answer to 2 decimal places.)
Click here to see answer by ikleyn(52831) |
Question 1209861: How much would you need to deposit in an account each month in order to have $20,000 in the account in 6 years? Assume the account earns 4% annual interest, compounded monthly. (Enter your answer to 2 decimal places.)
Click here to see answer by CPhill(1959) |
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