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Pre Calculus

05/31/20

What is the limit as x approaches zero of sin(2x)/x

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05/27/20

If the account is compared to a bank account paying interest that is compounded continuously, what interest rate would the bank account have to pay to match the mutual fund accounts earnings?

An investor wants to analyze the earnings of a mutual fund account. Six years ago, the value of the account was $24,000 and it is now worth $30,000(no additional deposits were made). If the account... more

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Pre Calculus Precalculus Pre Calculus

05/25/20

An investor wants to analyze the earnings of a mutual fund account. Four years ago, the value of the account was and it is now worth (no additional deposits were made).

An investor wants to analyze the earnings of a mutual fund account. Four years ago, the value of the account was and it is now worth (no additional deposits were made). If the account is compared... more

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Pre Calculus Precalculus Pre Calculus

05/25/20

Suppose $17,800 is invested in a monthly compounded account at 6.45%. Approximately how long will it take for the balance to reach $44,500

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Pre Calculus Calculus Pre Calculus Pre Calc

05/25/20

If z=(3/5)-(4/5)i , what is z^10 and the three cube roots of z

This is a polar coordinate and complex numbers question. (powers of complex numbers)

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Pre Calculus Math Precalculus Pre Calculus

05/18/20

Suppose $22,800 is invested in a daily compounded account at 6.97%. Approximately how long will it take for the balance to reach $51,300 ?

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Pre Calculus Math Precalculus Pre Calculus

05/18/20

For a submarine to stay submerged, it must be neutrally buoyant, which means it is maintaining a careful balance between its weight and the buoyant force of water pushing it toward the surface.

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Pre Calculus Precalculus Pre Calculus

05/18/20

How much should be deposited in an account paying 5% interest, compounded quarterly, in order to have a balance of $ 9,000 after 29 years and 6 months?

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Pre Calculus Precalculus Pre Calculus

05/18/20

A credit union client deposits $1,600 in an account earning 4% interest, compounded monthly. What will the balance of the account be at the end of 15 years?

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Pre Calculus Math Precalculus Mathematica

05/15/20

Precalculus question?

Suppose T(t)=23sin(2π(t-7)/24)+66 is the temperature (in degrees Fahrenheit) at time t, where t is measured in hours after midnight on Sunday. You paint the exterior door to your house at 5 p.m. on... more

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Pre Calculus Math Precalculus Mathematica

05/15/20

Precalc question

a) If y=sin(x) on the domain -π/2 ≤ x ≤ π/2, what is the domain D and range R of y=2sin(3x-1)+3? How many solutions does the equation 4=2sin(3x-1)+3 have on the domain D and what are they?b) If... more

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Pre Calculus Math Precalculus Mathematica

05/14/20

Precalc question

The temperature in Gavin’s oven is a sinusoidal function of time. Gavin sets his oven so that it has a maximum temperature of 300F and a minimum temperature of 240F. Once the temperature... more

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Pre Calculus Calculus

05/13/20

Find each indefinite integral and check the result by differentiating.

1) ∫(6x-1)3(6)dx2) ∫(x6+1)4(6x5)dx

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Pre Calculus

05/12/20

A gear with a radius of 8 centimeters is turning at pi/3 radians per second.What is the linear speed at a point on the outer edge of the gear?

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Pre Calculus Precalculus Pre Calculus

05/08/20

By the Remainder Theorem, what can be said about the polynomial function s(x) if s(−1)=7 ?

The remainder must be _________when s(x) is divided by_________.

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Pre Calculus Precalculus Pre Calculus

05/08/20

Factor the polynomial f(x)=x^4−6x^3−7x^2+48x−36 given that 6 and −3 are zeros.

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Pre Calculus Math Precalculus Pre Calculus

05/08/20

Write the cubic polynomial function f(x) in expanded form with zeros −4, −2, and 3, given that f(0)=−48

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Pre Calculus Math Precalculus Mathematica

05/08/20

Precalc question?

Nadia is a robot that can continuously adjust the length of its hair so that its length is a sinusoidal function of time. At its shortest, it's 6 cm long. At its longest, it's 24 cm long. Today,... more

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Pre Calculus Math Calculus Precalculus

05/07/20

Please help me out with my math homework, thank you!

A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a race. Use a trapezoidal sum with 4 intervals to estimate the distance... more

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Pre Calculus Math Calculus Precalculus

05/07/20

Vectors Problem - Find a unit vector perpendicular to a=(0,-2,1) and b=(8,-3,-1). Also Find the projection of vector a onto vector b. Please include steps.

There are small arrows pointing right on top of a and b (format won't let me add)

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Pre Calculus Math Calculus Precalculus

05/07/20

Vectors Problem - Suppose u has magnitude 5, and v has magnitude 8, and the angle between the two vectors is 105 degrees. Find u • v. Please include steps.

there are small arrows pointing right on top of u and v (format won't let me add)

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Pre Calculus Precalculus Pre Calculus

05/07/20

Suppose $500 is compounded annually for 14 years. If no other deposits are made, what rate is needed for the balance to triple in that time?

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Pre Calculus Math Precalculus Pre Calculus

05/07/20

Suppose $60,000 is invested into an account where interest is compounded annually. After 30 years the balance is $224,719. What was the interest rate as a percent?

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Pre Calculus Math Precalculus Pre Calculus

05/07/20

How much should be deposited in an account paying 6.5% interest, compounded monthly, in order to have a balance of $ 9,000 after 19 years and 3 months?

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Pre Calculus Math Precalculus Pre Calculus

05/07/20

A credit union client deposits $2,100 in an account earning 4.5% interest, compounded quarterly. What will the balance of the account be at the end of 22 years?

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Answers •1

What is the limit as x approaches zero of sin(2x)/x

If the account is compared to a bank account paying interest that is compounded continuously, what interest rate would the bank account have to pay to match the mutual fund accounts earnings?

An investor wants to analyze the earnings of a mutual fund account. Four years ago, the value of the account was and it is now worth (no additional deposits were made).

Suppose $17,800 is invested in a monthly compounded account at 6.45%. Approximately how long will it take for the balance to reach $44,500

If z=(3/5)-(4/5)i , what is z^10 and the three cube roots of z

Suppose $22,800 is invested in a daily compounded account at 6.97%. Approximately how long will it take for the balance to reach $51,300 ?

For a submarine to stay submerged, it must be neutrally buoyant, which means it is maintaining a careful balance between its weight and the buoyant force of water pushing it toward the surface.

How much should be deposited in an account paying 5% interest, compounded quarterly, in order to have a balance of $ 9,000 after 29 years and 6 months?

A credit union client deposits $1,600 in an account earning 4% interest, compounded monthly. What will the balance of the account be at the end of 15 years?

Precalculus question?

Precalc question

Precalc question

Find each indefinite integral and check the result by differentiating.

A gear with a radius of 8 centimeters is turning at pi/3 radians per second.What is the linear speed at a point on the outer edge of the gear?

By the Remainder Theorem, what can be said about the polynomial function s(x) if s(−1)=7 ?

Factor the polynomial f(x)=x^4−6x^3−7x^2+48x−36 given that 6 and −3 are zeros.

Write the cubic polynomial function f(x) in expanded form with zeros −4, −2, and 3, given that f(0)=−48

Precalc question?

Please help me out with my math homework, thank you!

Vectors Problem - Find a unit vector perpendicular to a=(0,-2,1) and b=(8,-3,-1). Also Find the projection of vector a onto vector b. Please include steps.

Vectors Problem - Suppose u has magnitude 5, and v has magnitude 8, and the angle between the two vectors is 105 degrees. Find u • v. Please include steps.

Suppose $500 is compounded annually for 14 years. If no other deposits are made, what rate is needed for the balance to triple in that time?

Suppose $60,000 is invested into an account where interest is compounded annually. After 30 years the balance is $224,719. What was the interest rate as a percent?

How much should be deposited in an account paying 6.5% interest, compounded monthly, in order to have a balance of $ 9,000 after 19 years and 3 months?

A credit union client deposits $2,100 in an account earning 4.5% interest, compounded quarterly. What will the balance of the account be at the end of 22 years?

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