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CaHeK987 [17]
3 years ago
12

NEED HELP ASAP!! PLEASE SHOW AND EXPLAIN YOUR ANSWER!

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

A. The decrease in Car 1 value is constant at 6000 from year to year. Its value can be described by a linear function.


The decrease in Car 2 value is a constant percentage of its current value from year to year. Its value can be described by an exponential function.


B. The slope of the Car 1 function is -6000, and the value is 32000 in year 1, so the value function for Car 1 can be written as

... f(x) = 32000 -6000(x-1)

... f(x) = 38000 -6000x


The value multiplier for Car 2 from year to year is 27455/32300 = 0.85, so the value function for Car 2 can be written as

... f(x) = 32,300·0.85^(x-1)

... f(x) = 38000·0.85^x


C. There is a significant difference in value after 5 years. Car 2 is worth more than double the value of Car 1 in year 5. That year, their values are ...

... car 1: $8000

... car 2: $16861

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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

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Given: \textsf{Slope = -3, Passes through (3, -4)}

Find:  \textsf{Equation in slope-intercept form}

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point.  Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

<u>Plug in the values</u>

  • y - y_1 = m(x - x_1)
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<u>Distribute</u>

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<u>Subtract 4 from both sides</u>

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Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be y = -3x + 5.

7 0
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snow_tiger [21]

Answer:

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Step-by-step explanation:

given by the way the triangles were originally written, the logical answer would be JL because it is in the same order that EG is written in the order of the triangle.

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Answer:

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