A $200 investment in a savings account grows according to A(t) = 200e0.0398t, for t > 0, %3D where t is measured in years. Qats. a) Find the balance of the account after 10 years. b) How fast is the account growing (in dollars/year) at t = 10?

Q: 3. A man 6 ft tall walks along a straight path away from a lamp post 15 ft high at the rate of 2…

A:

Q: A 9.5-meter ladder is leaning against a wall. The bottom of the ladder is being pulled horizontally…

A: We need to find the rate at which top of ladder moving down.

Q: Suppose there is no snow in a parking lot when snow begins to fall at midnight; From midnight until…

A:

Q: 2. A 13-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the…

A:

Q: A 10​-foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: The given data can be expressed in a right triangle as shown below.

Q: Gravel is being dumped from a conveyor belt

A:

Q: 10. A large ice cube that is 4cm on each side is melting in a jug of lemonade at the rate of 3cm per…

A: Here we want to find how fast is the length of the side is decreasing under a volume change of 3…

Q: 7. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast…

A: Given : A 6 ft tall man and a 15 ft tall street lamp and rate is 5 ft/sec

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: Given: The trough is being filled with water at the rate of 0.3 m3/min, dVdt=0.3 m3/min

Q: Each side of a square is increasing at a rate of 6 cm/s. At what is the area of the square…

A: Given that, Area of square is  25cm2    Area A = x2 Where x is the side length. The area of square…

Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: A 10-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A:

Q: A 25ft ladder is sliding down a wall at -6ft/s. How fast is the bottom of the ladder sliding out…

A: Given, Length of ladder= 25 ft  Rate of sliding down = -6 ft/s  We have to find how fast is the…

Q: As a bicyclist moving at 6m/s passes a point, a balloon 8m directly above him rises at the rate of…

A:

Q: 6) A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

A:

Q: The length of the rectangle is increasing at a rate of 5cm/s and its width is decreasing at a rate…

A:

Q: A 5 meter ladder is leaning against the wall. The bottom of the ladder is being pushed horizontally…

A:

Q: A 15-foot teddy bear is leaning against a shelf. The top hand of the teddy bear is sliding down the…

A: Let horizontal distance= x ft , vertical distance= y ft Relation between x and y is: Given that…

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: 2) A 5-ft ladder, leaning against a wall, slips so that its base moves away from the wall at a rate…

A:

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

A:

Q: A wet towel hung from a clothesline to dry loses moisture through evap-oration at a rate…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that…

A:

Q: A spherical balloon is inflated at a rate of 10 cm3>min. At what rate is the diameter of the…

A:

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given,  A ladder slides down a vertical wall at a rate of 0.675 m/s  When the bottom of the ladder…

Q: pushed

A: Given: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being…

Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that…

A:

Q: the area, A, of a square is increasing at 6cm2 per minute. how fast is the side length of the square…

A:

Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

Q: 20. A 13 foot ladder leans against a vertical wall. When the ladder is pulled away from the wall at…

A:

Q: 31 An ice (ube is slowly melting, losing 3cm3 of water each hour. If it a lways remains a Perfect…

A: Volume of a cube=(side)^3

Q: The side of a cube is increasing at a rate of 2 mm/s. How fast is the volume Q4. - increasıng when…

A: To find  How fast is the volume of a cube increasing.

Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

A: Given oil is spilled from tank and it flowing  in a circular path with increasing radius of 2m/s .…

Q: how long will it take $800 to triple if it is invested at an annual intrest rate of 5.3%

A: P=$800 , R=5.3%

Q: how

A:

Q: A worker on a scaffolding 85 feet above the ground needs to lift a 115 pound bucket of cement from…

A:

Q: A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A: Given a ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed…

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: The volume of water trough = Area × Length Area of trapezium = 12×Sum of parallel sides×height…

Q: The top ladder slides down a vertical wall at a rate of 0.15m/S. At what moment when the bottom of…

A: Given that the top ladder slides down a vertical wall at a rate of 0.15m/s. the bottom of the ladder…

Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that…

A: Now given that

Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

A:

Q: Suppose a 10-foot ladder is leaning against a building. The bottom of the ladder slides away from…

A: Solution:-

Q: A 3-meter long steel pipe has its upper end leaning against a vertical wall and lower end on a level…

A: Given that, Length of pipe is 8m, lower end moving away at the rate of 2 cm/sec. we have to find how…