MATHEMATICS HIGH SCHOOL

A new car sells for $29,250. It straight line depreciates in 13 years. What is the slope of the straight line depreciation equation?

Answers

Answer 1

Answer:

Answer:

The slope of the straight line is -2,250

Step-by-step explanation:

Given:

The cost of a new car = $29,250

It depreciates in 13 years, it means the value of the zero in 13 years.

Therefore, the value of the car decreasing which is negative.

Let's take "x" is the amount decreasing by years, which represents the slope.

29250 = -13x

Dividing by -13 both sides, we get

-13/-13 x = 29250/-13

x = -2,250

Therefore, slope of the straight line is -2,250

Hope this will helpful.

Thank you.

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Find the volume of the square based pyramid.

Answers

A = 1/3 * s^2 * h where s is a side of the base and h is the height.

Finding the height of the pyramid:

$\left((6)/(2) \right )^(\!\!2)+h^(2)=8^(2)\n \n \n 3^(2)+h^(2)=8^(2)\n \n h^(2)=8^(2)-3^(2)\n \n h^(2)=64-9\n \n h^(2)=55\n \n h=√(55)\mathrm{~m}$

Finding the base area:

$S=6^(2)\n \n S=36\mathrm{~m^(2)}$

Formula for the volume of the pyramid:

$V=(S\cdot h)/(3)\n \n \n V=(36\cdot √(55))/(3)\n \n \n V=(\diagup\!\!\!\! 3\cdot 12\cdot √(55))/(\diagup\!\!\!\! 3)\n \n \n \boxed{\begin{array}{c} V=12√(55)\mathrm{~m^(3)} \end{array}}$

X+3y=14 6x+3y=-6 is there a possible solution?

Answers

$\left\{\begin{array}{ccc}x+3y=14\n6x+3y=-6&/\cdot(-1)\end{array}\right\n+\left\{\begin{array}{ccc}x+3y=14\n-6x-3y=6\end{array}\right\n-----------\n.\ \ \ \ \ -5x=20\ \ \ \ /:(-5)\n.\ \ \ \ \ \ \ \ \ \ x=-4\n\n-4+3y=14\n3y=14+4\n3y=18\ \ \ \ /:3\ny=6\n\nSolution:x=-4\ and\ y=6$

Which could be the length?

Answers

Answer:

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Step-by-step explanation:

Given;

two side of the triangle, 6 ft and 6 ft

let the third side of the triangle = x

Apply the rules of length of a triangle to determine the third side of the triangle.

Based on this rule: (6 - 6) < x < (6 + 6)

0 < x < 12 ft

Therefore, the length of the third side will be greater than 0 but less than 12 ft

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -7x^2 + 3x + 1.

Answers

$f(x) = -7x^2 + 3x + 1 \n \na=-7, \ b=3 , \ c=1 \n \n vertex(h, k) \ is \ given \ by: \n \n h = (-b)/(2a ) , \ \ k = c-(b^2)/(4a) \n \nh=(-3)/(2\cdot (-7))=(-3)/(-14)=(3)/(14)$

$k = 1-( 3^2)/(4 \cdot (-7)) =1-(9)/(-28)=1+(9)/(28)=1(9)/(28)=(37)/(28)\n \n \n Answer : \ Vertex =((3)/(14), (37)/(28))$

Consider the function represented by the equation 1/2j+1/4K=3 which shows the equation written in function notation with k as the independent variable

Answers

Answer:

The required expression is:

$k=12-2j$

Step-by-step explanation:

We have been given an expression:

$\fraxc{1}{2}j+(1)/(4)k=3$

We have to write the equation in terms when k is independent.

$(1)/(4)k=3-(1)/(2)j$

$\Rightarrow k=4(3-(1)/(2)j)$

$\Rightarrow k=2(6-j)$

$\Rightarrow k=12-2j$

The required expression is:

$k=12-2j$

The number of rugby supporters at a match is 498000 correct to the nearest 1000 write down the error interval for the number of supporters at the match.

Answers

Answer:

1000/2=500

Max=498000+500=498500

Min=498000-500=497,500

497500≤c<498500

Step-by-step explanation:

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