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2 years ago

Jeanne barrons has decided to buy a new car. it has a base price of

Mathematics

1 answer:

Setler [38]2 years ago

4 0

Answer:

a. $19,224.92

Step-by-step explanation:

The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.

cost for base car = 0.83 × $21,276 = $17,659.08

cost for options = 0.80 × $1,219.80 = $975.84

cost for destination charge = $590.00

The sum of the dealer's costs is ...

$17,659.08 +975.84 +590.00 = $19,224.92

Barrons should estimate the dealer's cost to be $19,224.92.

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If f(x)=ln(sin(2x)), f''(π/4) is equal to

Licemer1 [7]

Use the chain rule to compute the second derivative:

$f(x)=\ln(\sin(2x))$

The first derivative is

$f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}$

$f'(x)=2\cot(2x)$

Then the second derivative is

$f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'$

$f''(x)=-4\csc^2(2x)$

Then plug in π/4 for <em>x</em> :

$f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4$

4 0

3 years ago

What is the greatest integer that is less than √6 + √7

lutik1710 [3]

Answer:

Step-by-step explanation:

hope this helps

4 0

3 years ago

Need help on this one

Lady_Fox [76]

To find what y is you have to do y1-y2/x1 - x2

Hope this helped

3 0

3 years ago

Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

5 0

2 years ago

Do 3+5 and 5+3 represent the same expression

andrezito [222]

Hello there,

Yes, 3+5 and 5+3 do represent the same expression. This expression is called the commutative property.

Hope this helps.

~Jurgen.

3 0

3 years ago

Read 2 more answers