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3 years ago

Evaluate 12x2 + 39x + 30 at x = 3.

Mathematics

2 answers:

astraxan [27]3 years ago

4 0

Answer:

255

Step-by-step explanation:

f(x) = $12x^{2}\\$ + 39x + 30

f(3) = 12(3) $^{2}$ + 39(3) + 30

= 108 + 117 + 30

= 255

ycow [4]3 years ago

3 0

Answer:

255

Step-by-step explanation:

12x^(2) + 39x + 30

x = 3

Substitute in"3" for "x" and solve;

12(3)^(2) + 39(3) + 30

= 12 * 9 + 117 + 30

= 108 + 117 + 30

= 255

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

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4 years ago

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erastovalidia [21]

Answer:

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Step-by-step explanation:

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3 years ago

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sdas [7]

The answer is (3,6).

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4 years ago

(4x-3)÷(2x+3) + (3+2x)÷(3x^2) =2<br> so what can x not be

Rudik [331]

Remember that if an x=value makes a denominator 0, the entire equation is undefined.

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So whenever x = -3/2 or x = 0 the equation is undefined, and that means that x cannot be -3/2 or 0.

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3 years ago

Solve for x. 35x+5=45 Enter your answer in the box.

Serga [27]

35x+5= 45

Subtract 5 on both sides.

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Divide both sides by 35.

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I hope this helps!
~kaikers

3 0

3 years ago

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