Tutors Answer Your Questions about Equations (FREE)
Question 1147184: The annual interest on an $8000 investment exceeds the interest earned on a $2000 investment by $392. The $8000 is invested at a 0.4% higher rate of interest than the $2000. What is the interest rate of each investment?
Click here to see answer by Boreal(15235)  |
Question 1147233: 1) Rearrange the formula to find the number of days the barrister works in terms of s, c and T. If T = 32520, s = 13 and c = 18 then find b.
2) When and where we use Mean, Median, Mode, G.M and H.M?
3) Twister & Co, a local legal firm has calculated the cost of taking on a case for a client. The total cost £T of legal action is given by: T = 1780 b + 296 s + 64 c, where b is the number of days a barrister is used, s is the number of days a solicitor is used and c is the number of days a clerk is used.
4) The correlation between salaries of school teachers and amount of liquor sold during the period 1940 - 1980 was found to be 0.96, explain its business meaning.
5) Find out the regression coefficients of Y on X and of X on Y on the basis of following data:
Σ X = 50, Mean of X = 5, ΣY = 60, Mean of Y = 6, Σ XY = 350 Variance of X = 4, Var of Y = 9
6) Find the regression equation of X on Y and Yon X and the coefficient of correlation from the following data: ΣX = 60, ΣY = 40, ΣXY = 1150, ΣX 2 = 4160, ΣY 2 = 1720 and n = 10.
7) A petrol station sold 55,000 gallons of unleaded petrol in one week. The three types of fuel sold by the petrol station were in the proportion of: Super unleaded petrol 23% unleaded petrol 48% Diesel 29%
a) Calculate the total sales of fuel in that week.
b) Draw a pie chart which shows the sales of the above types of fuel.
c) How much unleaded petrol was sold?
d) How much diesel was sold?
8) The total sales of Dell Laptops from Jan 2013 to July 2014 is 3528450 determine the per month sales of laptops during the given time period
9) Find the total cost if the barrister works for 27 days, the solicitor works for 18 days and the clerk works for 59 days.
10) The table below shows the distribution of salaries of employees in Dun ford and Sons. SALARY RANGE & NO. OF EMPLOYEES
Salary range 5,000-9,999 10,000-14,999 15,000-19,999 20,000-24,999 25,000-29,999 30,000-34,999 35,000+
No. of Employees
56
134
292
149
127
38
25
a) Make the necessary calculations and draw a cumulative frequency.
b) Calculate the number of managers, given that senior managers’ salaries are £30,000 and above, and middle managers’ salaries are greater than £20,000.
c) Calculate the ratio of senior managers to middle managers.
d) Calculate the percentage of the workforce which are not senior or middle managers (i.e. other employees).
e) What is the probability of approaching any employee and finding that they are a manager?
f) i- What is the Median & Model value of the salary range also comments on shape of Distribution?
Click here to see answer by ikleyn(52776)  |
Question 1147257: To a police investigator, skid marks evidence is extremely important in determining how vehicles moved in a collision. Skid marks are the equivalent of fingerprints in a criminal investigation, and just as important. The speed a car was traveling can be calculated using the skid marks made as the car came to a stop. The formula for finding the speed of the vehicle is:
S equals square root of 30 times D times f times n end root
Where:
S = speed in miles per hour
30 = a constant value used in the equation
D = length of the skid marks in feet
f = drag factor for the road surface
n = braking efficiency as a percent
If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .85), what would be the length of the skid marks? Round to the nearest tenth.
Click here to see answer by ikleyn(52776)  |
Question 1147476: The graph shows the velocity of a moving object.
Link to graph: https://drive.google.com/file/d/1sx7q1hfit9ieKYOmpR3nAuhvnmoreaAt/view?usp=sharing
A) When is the particle moving forward?
B) When is the particle moving backwards?
C) When does the particle turn around?
D) When is the particle speeding up?
E) When is the particle slowing down?
F) When is the acceleration zero?
G) What is the greatest speed?
H) When does the greatest speed occur?
Click here to see answer by ikleyn(52776)  |
Question 1147467: A book sold 37,600 copies in its first month of release. Suppose this represents 7.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Click here to see answer by Theo(13342)  |
Question 1147474: The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.
Click here to see answer by Alan3354(69443)  |
Question 1147473: The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.
E) How long does it take for the velocity to reach −36 m/s?
F) Find the acceleration at 𝑡 = 2 seconds.
G) Find the velocity when the acceleration is 0 m/s^2.
Click here to see answer by Alan3354(69443)  |
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