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Write the model equation for the cost of renting a truck with plan B.

B = 100 + .05 x

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Find the number of miles that would generate the same cost for both plans.

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If Tim knows he has to travel 300 mi, which plan should he choose?

Plan A

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For the following exercises, use the given formulas to answer the questions.

A = P ( 1 + r t ) is used to find the principal amount P deposited, earning r % interest, for t years. Use this to find what principal amount P David invested at a 3% rate for 20 yr if A = $ 8,000.

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The formula F = m v 2 R relates force ( F ), velocity ( v ), mass ( m ), and resistance ( R ). Find R when m = 45 , v = 7 , and F = 245.

R = 9

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F = m a indicates that force ( F ) equals mass ( m ) times acceleration ( a ). Find the acceleration of a mass of 50 kg if a force of 12 N is exerted on it.

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S u m = 1 1 r is the formula for an infinite series sum. If the sum is 5, find r .

r = 4 5 or 0.8

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For the following exercises, solve for the given variable in the formula. After obtaining a new version of the formula, you will use it to solve a question.

Solve for W : P = 2 L + 2 W

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Use the formula from the previous question to find the width, W , of a rectangle whose length is 15 and whose perimeter is 58.

W = P 2 L 2 = 58 2 ( 15 ) 2 = 14

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Solve for f : 1 p + 1 q = 1 f

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Use the formula from the previous question to find f when p = 8 and  q = 13.

f = p q p + q = 8 ( 13 ) 8 + 13 = 104 21

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Solve for m in the slope-intercept formula: y = m x + b

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Use the formula from the previous question to find m when the coordinates of the point are ( 4 , 7 ) and b = 12.

m = 5 4

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The area of a trapezoid is given by A = 1 2 h ( b 1 + b 2 ) . Use the formula to find the area of a trapezoid with h = 6 ,   b 1 = 14 ,  and  b 2 = 8.

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Solve for h: A = 1 2 h ( b 1 + b 2 )

h = 2 A b 1 + b 2

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Use the formula from the previous question to find the height of a trapezoid with A = 150 ,   b 1 = 19 ,  and  b 2 = 11.

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Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find the length and width. Use the perimeter formula P = 2 L + 2 W .

length = 360 ft; width = 160 ft

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Distance equals rate times time, d = r t . Find the distance Tom travels if he is moving at a rate of 55 mi/h for 3.5 h.

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Using the formula in the previous exercise, find the distance that Susan travels if she is moving at a rate of 60 mi/h for 6.75 h.

405 mi

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What is the total distance that two people travel in 3 h if one of them is riding a bike at 15 mi/h and the other is walking at 3 mi/h?

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If the area model for a triangle is A = 1 2 b h , find the area of a triangle with a height of 16 in. and a base of 11 in.

A = 88  in . 2

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Solve for h: A = 1 2 b h

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Use the formula from the previous question to find the height to the nearest tenth of a triangle with a base of 15 and an area of 215.

28.7

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The volume formula for a cylinder is V = π r 2 h . Using the symbol π in your answer, find the volume of a cylinder with a radius, r , of 4 cm and a height of 14 cm.

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Solve for h: V = π r 2 h

h = V π r 2

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Use the formula from the previous question to find the height of a cylinder with a radius of 8 and a volume of 16 π

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Solve for r: V = π r 2 h

r = V π h

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Use the formula from the previous question to find the radius of a cylinder with a height of 36 and a volume of 324 π .

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The formula for the circumference of a circle is C = 2 π r . Find the circumference of a circle with a diameter of 12 in. (diameter = 2 r ). Use the symbol π in your final answer.

C = 12 π

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Solve the formula from the previous question for π . Notice why π is sometimes defined as the ratio of the circumference to its diameter.

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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