2,195 Answered Questions for the topic Pre Calculus
11/23/20
A pair of parametric equations is given. x = cos^3(t), y = sin^3(t), 0 ≤ t ≤ 2𝜋 Find a rectangular-coordinate equation for the curve by eliminating the parameter.
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11/23/20
Write a formula for the general term (the nth term) of the arithmetic sequence
Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the formula for an to find a20, the 20th term of the sequence.2,5,8,11...
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11/23/20
Use the Formula for the Sum of the First n Terms of a Geometric Sequence
To save money for a sabbatical to earn a master's degree, Henry deposits $1400 at the end of each year in an annuity that pays 6.4 % compounded annually. Use the formula for the value of an...
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11/22/20
Write the first four terms of the sequence whose general term is given below.
an=(-1)n+1(n+6)a1=a2=a3=a4=
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11/22/20
Complete the table for a savings account in which interest is compounded continuously. (Round your answers to four decimal places.)
Initial Investment: $350Annual % Rate: ______ (%)Time to Double: ______ (yr)Amount after 13 years: $435.21
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11/22/20
A new 2014 luxury sedan that sold for $38,880 has a book value V of $24,319 after t = 2 years.
(a) Find a linear model for the value V of the sedan.V(t) =(b) Find an exponential model for the value V of the sedan. Round the numbers in the model to four decimal places.V(t) =(c) Use a graphing...
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Pre Calculus
11/21/20
Can Anyone help me?
Form a Polynomial equation of least degree Satisfying the followinga.) whose roots are the simple root -i and triple root 0
11/20/20
Precalculus help
If y=3x^2 + 12x - 3 is put in the form y=a(x-h)^2+k, then what is the value of (a+h+k)?
11/20/20
a cup of coffee has cooled from 92 degrees C to 60 degrees C after 12 minutes in a room at 22 degrees C C. How long will it take to cool to 40 degrees?
round to the nearest tenth as needed.
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11/20/20
the half-life of a substance is 15 days. there's 2.5 grams of the substance initially.type an expression for the amount of substance as a function of t. when will there be less than 1 g remaining?
f(t) = __ (simplify your answer)there will be less than 1 gram remaining after about __ days. (round to the nearest tenth as needed)
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11/20/20
the 2000 population of a city was 715,000 and was increasing at the rate of 1.46% each year. at that rate when will the population be 1 million?
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11/19/20
If csc ( x ) = 13/12 (in Quadrant-I), find sin ( 2 x ) =
If csc ( x ) = 13/12 (in Quadrant-I), find sin ( 2 x ) =
Pre Calculus
11/19/20
Find the standard form for the equation of a circle ( x − h ) 2 + ( y − k ) 2 = r 2 with a diameter that has endpoints ( − 2 , − 8 ) and ( 6 , 4 ) . h = k = r =
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11/19/20
What values of k (if any) ensures that the system of linear equations given below has no solutions?
What values of k (if any) ensures that the system of linear equations given below has no solutions?5x +2ky = 4k (k2-9) y = k + 3
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11/19/20
What is the pH?
If a sample of a certain solution is determined to have a [H3 O+ ] concentration of 4.36 x 10-10 moles/liter, what is its pH? Round off your answer to one decimal place.
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Pre Calculus Math
11/18/20
Pre calc question I am struggling with
The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 67% of the carbon-14 expected in living matter, when did the tree die?
Pre Calculus
11/18/20
From a circular piece of metal sheet with diameter 10 cm, a rectangular piece with perimeter 28 cm is to be cut. Find the dimensions of the rectangular sheet.
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Pre Calculus
11/18/20
Suppose $20,000 is invested in an account that returns 6% per year compounded continuously. (Round your answers to one decimal place.)
(a) How long will it take for the investment to double?(b) How long will it take for the investment to triple?
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Pre Calculus
11/18/20
The parents of a 3-year-old child put $30,000 into an account with the hope that the amount will grow to $180,000 when the child starts college in 15 years. Wharate of continuously compounded interest
round to the nearest whole number
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Pre Calculus
11/18/20
what is the rectangular equation of this parametric equation?
equation : x=11/2t+4, y=t^2
Pre Calculus
11/18/20
An initial investment of $40,000 is made in an account where interest is compounded continuously. If the investment is to grow to $100,000 in 3 years, what is the required interest rate?
round to the nearest whole number, I put 36 and got it wrong
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Pre Calculus
11/17/20
Find the half-life of a radioactive substance that decays by 2% in 6 years
Round to one decimal point
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