Math Questions

If 5000 dollars is invested in a bank account at an interest rate of 10 per cent per year, Find the amount in the bank after 14 years if interest is compounded annually: Find the amount in the bank after 14 years if interest is compounded quarterly: Find the amount in the bank after 14 years if interest is compounded monthly: Finally, find the amount in the bank after 14 years if interest is compounded continuously:

Professor Ivy's students have a mean class grade of 68 with a standard deviation of 3.5. Express your answers rounded correctly to the hundredths place. A. If Isabel has a grade of 70.8 in the class, what would be the z-score for Isabel's grade? Z-score= = B. Into which percentile does Isabel's grade place her? Round the Percentile to the nearest whole number. Percentile =

Given that the variable cost is given by 2x² + 4x and fixed cost is 5000. Determine the: A. total cost function B. marginal cost function C. average cost function D. average cost when x = 5

Suppose that the world's current oil reserves is R= 2190 billion barrels. If, on average, the total reserves is decreasing by 21 billion barrels of oil each year, answer the following: A.) Give a linear equation for the total remaining oil reserves, R, in billions of barrels, in terms of t, the number of years since now. (Be sure to use the correct variable and Preview before you submit.) R= billions of barrels. B.) 15 years from now, the total oil reserves will be C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted (all used up) approximately years from now. (Round your answer to two decimal places.)

An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 811 new employees. If a new route is not granted, it will hire only 193 new employees. If the probability that a new route will be granted is 0.35, what is the expected number of new employees to be hired by the airline? The expected number of new employees to be hired is.

Write the equation of the line that passes through the point (-8, 6) and has a slope of 4. y=4x-26 y=-4x-26 y = -4x+26

At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from your total bill. A bag of 10 fortune cookies is given to you from which you will select one. If six fortune cookies contain "$1 off," three contain "$3 off," and one contains "$6 off," determine the expectation of a selection.

Two independent random samples resulted in the following. Find the estimate for the standard error for the difference between two means. (Give your answer correct to two decimal places.) Sample A: nA = 27, SA = 8.2 Sample B: ng= 27, SB = 11.5

The rate of a continuous flow for a company is growing exponentially. At the beginning, the rate was $10,000 per year. By the end of the first year, the rate was $10,941.74 per year. Complete parts (a) through (e) below. (a) Determine an exponential function to model the continuous money flow for this company. f(t) = (10,000) (0.09) (b) Find the total money flow for the first 8 years. The total money flow over is $ 117159.25. (c) Find the accumulated amount of money flow at the end of 8 years if the interest rate is 6%, compounded continuously. The accumulated amount of money flow is $

Find the coordinate matrix of p relative to the standard basis for P3. p = 17 + 118x + 3x²

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-1.053 b=21.709 r²=0.927369 r=-0.963 Use this to predict the number of situps a person who watches 5.5 hours of TV can do

With a certain medical insurance policy, the customer must first pay an annual $350 deductible, and then the policy covers 60% of the cost of x-rays. The first insurance claims for a specific year submitted by a person are for two x-rays. The first x-ray cost $640, and the second x-ray cost $940. How much, in total, will he need to pay for these x-rays?

A 25-ft ladder is leaning against a building. If the base of the ladder is 7 ft. from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building? Sketch the diagram, label the sides, and show the angle.

Study the polynomial function. f(x) = 0.1x(x + 6)(4x + 10) Part A. Identify the key features for the function above. Key features include: x- and y-intercepts, end behavior, vertical stretch/shrink and degree.

Mark wants to invest $6,500.00 at an interest rate of 7.5% per year, compound daily. How long will it take his investment to grow to $8,000? Use: A (t) = P(1+) ² 1.5 years 2 years 2.7 years 1.3 years

A cake mixture is 9 parts flour to 4 parts water (by mass). How many kilograms are there each of flour and water necessary to produce a dough with a mass of 3.12 kg.

You can insert Desmos graphs or hand-drawn graphs. Draw a normal curve representation for the area, then write the numerical value of the area under the normal curve for each of the following. A) All values below the mean B) All values to the left of z=-2.17

A population numbers 16,000 organisms initially and grows by 13.3% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = abt where

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 100 minutes, the monthly cost will be $61. If the customer uses 780 minutes, the monthly cost will be $333. A) Find an equation in the form y = = mx + b, where x is the number of monthly minutes used and y is the total monthly of the NextFell plan. B) Use your equation to find the total monthly cost if 980 minutes are used.

Write the slope-intercept form of the equation of the line with a slope of 2 and passing through the point (-4,-5). y=2x+3 y=-2x+3 y=2x-3

A house was valued at $115,000 in the year 1992. The value appreciated to $150,000 by the year 2000. A) What was the annual growth rate between 1992 and 2000? Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2003?

A car rental company offers two plans for renting a car: Plan A: 30 dollars per day and 16 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range of miles will plan B save you money for a 1 day rental? To save money the mileage must be greater than Give your answer accurate to at least one decimal place miles per day.

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9. What is the length of the diagonal of the screen, to the nearest whole inch?

In a survey, 32 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and standard deviation of $4. Construct and interpret a 90% confidence interval.

The following data represents the body temperature in degrees Fahrenheit of randomly selected adults: 99.5, 98, 99.9, 98.5, 99.2, 100.2, 99, 100.3, 98.8, 98.3 Use Excel to compute the values indicated below. Express your answers rounded to the nearest tenth. Use the 68-95-99.7 Rule to answer the following question. What is the probability, in decimal form, of a body temperature less than 99.2 ? Express your answer rounded to four decimal places. you haven't answered the question correctly in 3 attempts, you can get a hint.

The triangle will be rotated by 180° clockwise around the point (3, 4) to create the triangle A'B'C'. Indicate whether each of the listed features of the image will or will not be the same as the corresponding feature in the original triangle by selecting the appropriate box in the table.

In 2001 the population of Mountainville was 9,400. Their population increases by 0.21% per year. What is the expected population of Mountainville in 2007? Round your answer to the nearest whole number.

Shannon needs to rent a car while on vacation. The rental company charges $17.95, plus 19 cents for each mile driven. If Shannon only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

You want to know if smoking rates are different in your state (call this population 1) and your sister's state (call this population 2). Test this at the 5% level of significance. Suppose that random samples showed that 90 of 500 in your state were smoker's and 70 out of 500 in your sister's state were smokers.

Determine the equation of the straight line with a slope 2 and passing through the point (1, 5). y=2x+3 y=10x-9 y=6x +15

Find the equation of the line passing through the points (2, 5) and (6, 1). y-x=7 y+x=-7 y+x=7

Which of the following is a type of joint? trochanter fibrous tibia synapse ulna

The following data set represents weights measured in grams of randomly selected MnM plain candies: 0.946, 0.9, 0.868, 0.943, 0.925, 0.902 0.851, 0.858, 0.886, 0.948, 0.85 Use Excel to compute the values indicated below. Express your answers rounded to the nearest thousandth. Use the 68-95-99.7 Rule to answer the following question. What is the probability, as a decimal, of a weight more than 0.822 ? Express the probability as a decimal with four places.

The average IQ score is 100 points with a standard deviation of 15 points. Jenny says that her IQ is in the 44th percentile. Use this information and a z-table to approximate Jenny's IQ. Express your answer rounded correctly to the nearest whole point.

Mathematics is like love; a simple idea, but it can get complicated. A swimming pool contains 34,000 gallons of water. How many gallons of chlorine must be added to "shock the pool" and bring the water to a 8.5 % solution?

Look at the black arrow to the left. This is called a vector or a directed line segment. How many spaces is the black vector moving right? How many spaces is the black vector moving down?

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x+y=7 B) y=-2x+7 Cy-3--2(x-2) E) y + 3 = -2(x - 2)

Suppose we take a sample of size 100 from a population. We find that 22 people in our sample are left-handed. Describe the shape of the sampling distribution of proportions. Why? The sampling distribution is approximately normal because np and n(1-p) are both greater than 10. The sampling distribution is skewed because np and n(1-p) are not both greater than 10. The sampling distribution is approximately normal because our sample size is larger than 30. The sampling distribution is skewed because the CLT is not met.

Make sure to justify your answer. A normal distribution has a mean of 75 and a standard deviation of 15. Determine the z- score for the data value of 85.

A sample of 200 sodas filled on a new machine showed that 22 were over-filled. The factory will get rid of the new machine if the data indicates that the proportion of over-filled sodas is significantly more than 7%. At a significance level of 10% does the factory get rid of the machine or not? Yes, the factory gets rid of the machine. There is evidence the machine is over-filling the bottles. No, the factory does not get rid of the machine. There is not evidence the machine is over-filling the bottles. Yes, the factory gets rid of the machine. There is not evidence the machine is over-filling the bottles. No, the factory does not get rid of the machine. There is evidence the machine is over-filling the bottles.

Two pyramids are similar with a ratio of surface areas of 25:64. Find the volume of the second pyramid given that the first has a volume of 250 m³. A 61.0 m³ B 640 m³ C 1024 m³ D 97.7 m³ E 4194 m³

Rosurvastatin/Crestor is a medicine used to decrease bad cholesterol and increase good cholesterol in the body. The half-life of Rosurvastatin is 1 day, which means that at the end of 1 day, half as much of the medication is left in your system. 1. If you take 60 mg of Rosurvastatin, how long do you think will it stay in your system?

Consider the following system of equations. x+y+z=1 2x + 2y = 6 3x + 4y -z = 13 a) Write the system as an augmented matrix. buse row operations to write the augmented matrix from part (a) in row echelon form. Show your work, clearly label each row operation used. c) Using your final matrix from part (b), solve for the values of x, y, and z for the solution to the system of equations. Write your solution. If the system has no solution, write "inconsistent'".

A taxi driver charges for a trip, with a base fare, using the function = 3k + 2, where t is the total cost ($) for the trip and k is the number of kilometers traveled in the trip. Find the rate of change (cost per kilometer traveled). $1 $3 $1.5

Bentley invested $26,000 in an account paying an interest rate of 6.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?

Taylor is on one side of a river that is 50 meters wide and wants to reach a point 200 meters downstream on the opposite side as quickly as possible by swimming in a diagonal line across the river and then running the rest of the way. Where should Taylor exit the water if she can swim at 1.5 meters per second and run at 4 meters per second.

A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is 16 inches wider than the queen-sized mattress but has the same length. The area of the king-sized mattress is 1,280 square inches more than that of the queen- sized mattress. An equation that can be used to solve for the dimensions of the king size mattress is The dimensions of the king size mattress are

When hired at a new job selling jewelry, you are given two pay options: ption A: Base salary of $12,000 a year, with a commission of 11% of your sales Option B: Base salary of $20,000 a year, with a commission of 4% of your sales In order for option A to produce a larger income, you would need sell at least $ of jewelry each year.

Brenda bought 10 dresses for 100 dollars. Find the rate of change and the cost of 15 dresses. $30 and $450 $10 and $150 $20 and $300

Use the following triangle to find the value of the indicated trigonometric function. Rationalize any denominators that you encounter in the answer.