Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1127349: Mitch and Bill are both age 75. When Mitch was 22 years old, he began depositing $1300 per year into a savings account. He made deposits for the first 10 years, at which point he was forced to stop making deposits. However, he left his money in the account, where it continued to earn interest for the next 43 years. Bill didn't start saving until he was 46 years old, but for the next 29 years he made annual deposits of $1300. Assume that both accounts earned an average annual return of 5% (compounded once a year). Complete parts (a) through (d) below.
a. How much money does Mitch have in his account at age 75?
At age 75, Mitch has $
nothing in his account.
(Round to the nearest cent as needed.)
Click here to see answer by Boreal(15235)   |
Question 1127890: A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.25 seconds after it was thrown.
Write a Function (f) that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown.
f(t)=
Click here to see answer by Alan3354(69443)  |
Question 1127952: Can someone help me break this down? I have been working on it for an hour and I keep getting the wrong answer. Thank you.
During the first part of a trip, a canoeist covered 70 km at a certain speed. He then traveled 30 km at a speed that was 4 km/h slower. If the total time for the trip was 8 hr, what was the speed on each part of the trip?
Click here to see answer by josgarithmetic(39616) |
Question 1127955: I am getting frustrated trying to figure this out. Can someone please break down the steps?
Solve. (Use 4.9tsquared+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
b) A ball is thrown downward at a speed of 40 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
c) Approximately how far will an object fall in 6 sec, when thrown downward at an initial velocity of 40 m/sec from a plane?
a) It takes the bolt ________sec m/sec to reach the ground.
b)
c)
Click here to see answer by MathLover1(20849)  |
Question 1127955: I am getting frustrated trying to figure this out. Can someone please break down the steps?
Solve. (Use 4.9tsquared+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
b) A ball is thrown downward at a speed of 40 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
c) Approximately how far will an object fall in 6 sec, when thrown downward at an initial velocity of 40 m/sec from a plane?
a) It takes the bolt ________sec m/sec to reach the ground.
b)
c)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1127987: A rocket is fired from the floor of the grand canyon. The height of the rocket, h(t) in metres above the floor of the canyon after t seconds is modeled by the function h(t)= -5t^2+240t. A person sitting at the top of the canyon, 1734m above its floor, can only see the rocket when it is above that height. FOr how many seconds will the rocket be visible?
Thank you
Click here to see answer by ikleyn(52776)  |
Question 1128212: This projectile function: h(t)=-16t^2+vt+k applies to any object projected upward with an initial velocity v, from a height k but not to objects under propulsion (such as a rocket). Consider this situation and answer the following questions.
Height of a projectile: A projectile is thrown upward with an initial velocity of 176 ft/sec. After t seconds, its height h(t) above ground is given by the function h(t)= -16t^2+176t.
a) find the projectile's height above the ground after 2 sec.
a) Sketch the graph modeling the projectile's height.
c) What is the projectile's max height? What is the value of t at this height?
d) how many seconds after it is thrown will the projectile strike the ground?
Click here to see answer by ikleyn(52776) |
Question 1128351: Angelina factored (x - 4)^8 and wrote that it was equal to (x^2 - 4^2)2(x^2 + 4^2). Use complete sentences to explain how you could confirm whether Angela’s solution is correct. Prove your conclusion mathematically.
Click here to see answer by ikleyn(52776) |
Question 1128480: Can someone help me break this down and solve? I don't know what I am doing wrong. Thanks a million!
A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.3x^2−0.9x+2.175, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
Click here to see answer by josmiceli(19441)  |
Question 1128494: I did this wrong twice and I am on my final chance to get it right; can someone please assist. Thank you.
A car travels 560 mi averaging a certain speed. If the car had gone 10 mph faster, the trip would have taken 1 hr less. Find the car's average speed.
Click here to see answer by ikleyn(52776) |
Question 1128494: I did this wrong twice and I am on my final chance to get it right; can someone please assist. Thank you.
A car travels 560 mi averaging a certain speed. If the car had gone 10 mph faster, the trip would have taken 1 hr less. Find the car's average speed.
Click here to see answer by greenestamps(13198)  |
Question 1128496: I am beyond frustrated and failing to solve this, can anyone help please?
A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.3x^2−2.7x+7.475, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
The minimum average cost per dulcimer is $____.
The company should build ____dulcimers to achieve the minimum.
Click here to see answer by jim_thompson5910(35256) |
Question 1128492: Please help; I am having great difficulty with this one.
Solve. (Use 4.9t^2+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
b) A ball is thrown downward at a speed of 10 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
c) Approximately how far will an object fall in 8 sec, when thrown downward at an initial velocity of 10 m/sec from a plane?
Click here to see answer by Alan3354(69443) |
Question 1128492: Please help; I am having great difficulty with this one.
Solve. (Use 4.9t^2+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
b) A ball is thrown downward at a speed of 10 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
c) Approximately how far will an object fall in 8 sec, when thrown downward at an initial velocity of 10 m/sec from a plane?
Click here to see answer by jim_thompson5910(35256) |
Question 1128574: Hi!
I have this word problem that I've been trying to figure out for awhile. My professor wants us to solve it by completing the square, which I am comfortable doing, I just am not sure how to set up the equation. The problem says:
If the price of eggs rises 10 cents per dozen, one will be able to get 2 dozen fewer eggs with $6.00 than was possible at the lower price. What is the lower price?
Thank you!
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1128574: Hi!
I have this word problem that I've been trying to figure out for awhile. My professor wants us to solve it by completing the square, which I am comfortable doing, I just am not sure how to set up the equation. The problem says:
If the price of eggs rises 10 cents per dozen, one will be able to get 2 dozen fewer eggs with $6.00 than was possible at the lower price. What is the lower price?
Thank you!
Click here to see answer by MathLover1(20849) |
Question 1128574: Hi!
I have this word problem that I've been trying to figure out for awhile. My professor wants us to solve it by completing the square, which I am comfortable doing, I just am not sure how to set up the equation. The problem says:
If the price of eggs rises 10 cents per dozen, one will be able to get 2 dozen fewer eggs with $6.00 than was possible at the lower price. What is the lower price?
Thank you!
Click here to see answer by ikleyn(52776) |
Question 1128578: Hi! I have a problem that my professor wants me to solve by completing the square. The problem says:
A train travels 300 miles at a uniform speed. If its speed had been 15 miles per hour less, the trip would have taken 1 hour and 40 minutes more. Find the actual speed of the train.
I tried setting it up like this: (x/300)-([x-15]/300)=1.667
Thank you!
Click here to see answer by ikleyn(52776) |
Question 1128578: Hi! I have a problem that my professor wants me to solve by completing the square. The problem says:
A train travels 300 miles at a uniform speed. If its speed had been 15 miles per hour less, the trip would have taken 1 hour and 40 minutes more. Find the actual speed of the train.
I tried setting it up like this: (x/300)-([x-15]/300)=1.667
Thank you!
Click here to see answer by greenestamps(13198) |
Question 1128578: Hi! I have a problem that my professor wants me to solve by completing the square. The problem says:
A train travels 300 miles at a uniform speed. If its speed had been 15 miles per hour less, the trip would have taken 1 hour and 40 minutes more. Find the actual speed of the train.
I tried setting it up like this: (x/300)-([x-15]/300)=1.667
Thank you!
Click here to see answer by josgarithmetic(39616) |
Question 1129023: A cliff diver’s height above the water, in
meters, is modeled by the function
ℎ(𝑑) = −𝑑^2 + 2𝑑 + 24, where d represents
how far the diver is from the cliff. How far
from the cliff will the diver be when she
reaches the water?
A. 0 meters
B. 4 meters
C. 6 meters
D. 24 meters
Click here to see answer by josmiceli(19441) |
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