MATHEMATICS HIGH SCHOOL

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the function represent growth or decay?

Answers

Answer 1
Answer:

The function for the value of the car is v(t)=28900(0.85)^t, where t is the time in years. It is a decay function.

It is given that,

  • The initial value of the car is $28900
  • Decreasing rate is 15% per year.

Explanation:

The value of car after t years is:

v(t)=a(1-r)^t

Where, a is the initial value and r is the decay rate.

The value of car is:

v(t)=28900(1-0.15)^t

v(t)=28900(0.85)^t

Thus, the required function is v(t)=28900(0.85)^t and it is a decay function because growth factor 0.85 is less than 1.

Learn more:

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GEOMETRY. NEED HELP NOW PLEASE!!Find m∠BAC in circle O. (The figure is not drawn to scale.)

A. 170
B. 47.5
C. 42.5

Answers

So here we go, lines OA and OB are radii of the circle O
since the measurement of ∡ O is given it is easy to find the other measurements.
180-85 = 95°  (all the sides of a triangle = 180°)
That angle divided by two
(95)/(2) = 47.5°
We know that the radii are the sides which makes that triangle isosceles.
So m∡BAC = 47.5°
Answer is B)47.5

What should be added to 3 to make the sum 0?

−3
−2
0
3

Answers

The answer is (-3) because if you have 3, you need to take away three in order to get to 0

Answer:

the answer is 3

Step-by-step explanation:

Additive inverses:  

pairs of numbers that have a sum of zero.  

The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

\hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6

\hookrightarrow \: y + 7x - 7 = 16x - 6

\hookrightarrow \: y = 16x - 6 - 7x + 7

\hookrightarrow \: y = 6x + 1

hence, measure of the third side is 6x + 1

In two or more complete sentences, describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.

Answers

Answer:

The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.

Step-by-step explanation:

Write an equation in the form Ax+By=C, given that m=2/3 and y intercept is (0,-3) where a,b, And c are integers

Answers

Answer:

2x - 3y = 9

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have

m=(2)/(3),\ (0,\ -3)\ro b=-3

Substitute:

y=(2)/(3)x-3

Convert to the standard form (Ax + By = C):

y=(2)/(3)x-3               multiply both sides by 3

3y=3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)x-(3)(3)

3y=2x-9                subtract 2x from both sides

-2x+3y=-9               change the signs

2x-3y=9

BRAINLIST Which table describes a linear function that has a slope of 2?
O Table 1
O Table 2
O Table 3
O Table 4

Answers

Answer:

Table 2

Step-by-step explanation:

Answer:

O Table 4 is the table describes a linear function that has a slope of 2.

Step-by-step explanation:

i.e \: using \: the \: equation \: y \: = m(x) \: + \: b.
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