2,195 Answered Questions for the topic Pre Calculus

Pre Calculus Math Algebra 2

05/01/18

A function f has the property that f(x/2) = Sqrt((1 + f(x))/2) for 0 <= x <= 1. If f(a) = 0 where 0 <= a <=1, what is the value of f(a/4)?

Apparently the answer is 0.98, but I have no idea how to get that.
Pre Calculus Calculus Investment

04/29/18

The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account

The value of your investment t years after 2000 is given by the exponential growth model A = 8300e^0.064t. How much did you initially invest in the account?

04/29/18

Larry has $2800 to invest and needs $3300 in 20 years

What annual rate of return will he need to get in order to accomplish his goal, if interest is compounded continuously? (Round your answer to two decimals.)

04/29/18

Logarithim Question

Solve the Equations   1.log x=6   I got 100,000 but I am just checking to see if I am correct   2. log(lower)5 (regular)5^3   I got 3  

04/28/18

Evaluate or simplify the expression without using a calculator. 10log 6√x

Show all steps for 10 log 6 radical x
Pre Calculus Calculus Domain Logarithms

04/28/18

Find the domain of the logarithmic function. f(x) = log(x+5/x-2)

Show all steps. The equation is f(x)=log (x+5 over x-2)

04/28/18

Write the equation in its equivalent logarithmic form. root(3,125)=5

The 3 is outside of the root and the 125 is in the root.

04/28/18

Use the compound interest formulas A=P(1+(r)/(n))^nt and A=Pe^rt to solve.

Find the accumulated value of an investment of $5000 at 7% compounded continuously for 6 years.
Pre Calculus Sigma

04/24/18

Converting a series to sigma notation

Convert the following series into sigma notation: 1+4+16+...256
Pre Calculus Sigma

04/24/18

Converting a series to sigma notation

Write the series -8+4-2+1 in sigma notation. 
Pre Calculus Sigma

04/24/18

Write the following series in sigma notation: 1+4+16+...+256

 There are no additional details following my question
Pre Calculus Calculus

04/22/18

Find the accumulated value of an investment of $ 17,000 at 6% compounded annually for 13 years.

Use the compound interest formulas A = P(1+r/n)^nt and A=Pe^rt to solve.
Pre Calculus Vectors Vectors 2d

04/10/18

If vector u is <3,4> and vector b is also <3,4>, then is vector a parallel to b or is it equal to it

I am honestly confused on if 2 vectors have the same change in x and y values then is it parallel or equal to it. And for example if 1 vector is double the other then how are they parallel, whywo... more

04/07/18

Put the equation into standard form and identify the vertex, focus and directrix.

25x2+ 20x + 5y − 1 = 0
Pre Calculus Precalculus

04/07/18

Solve the equation over the interval [0, 2π), stating answer(s) in radians: sin^2 x - 2sinx + 1 = 0

A) π/2    B) 3π/2    C) 2π/3    D) π/2, 3π/2 It would be much appreciated if someone could explain how to get the answer.
Pre Calculus Precalculus

04/07/18

Find the solutions to sin^2 (x) + cos(x) = 1, keeping 0 ≤ x < 2π

A)x = 0, π/2, 3π/2 B)x = π/2, 3π/2, 2π C)x = 0, −3π/2, 3π/2 D)x = π/6, π/4, π/3 It would be much appreciated if someone could explain how to get the answer.

04/06/18

Ship leaves a port at N50°E at 15 knots, then turns 80° southeast 2 hours later. After three hours at 20 knots, what is the bearing of the ship?

Full question: A a ship leaves a port with a bearing of N50°E at a speed of 15 knots. After 2 hours the ship turns 80° southeast. After three hours at a speed of 20 knots, what is the bearing of... more
Pre Calculus

04/05/18

if sin of theta equals 3/6 calculate tan of theta

if sin of theta equals 3/6 calculate tan of theta We did not understand

The half life of a radioactive element is 23 days. How long until 21% of the initial amount remains? Include units in your answer?

The half life of a radioactive element is 23 days. How long until 21% of the initial amount remains? Include units in your answer?
Pre Calculus

03/28/18

solve for the variable?

| 2  -1| | 3  4m| = -16   Solve for m?

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