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trasher [3.6K]
4 years ago
10

Help please. .....................

Mathematics
1 answer:
viva [34]4 years ago
8 0

we can use formula

y=ab^x

now, we can find a and b

Initially , price is 500

so,

At x=0,y=500

500=ab^0

a=500

now, we can plug back

y=500(b)^x

At x=3,y=10

we can use it and find b

10=500(b)^3

now, we can solve for b

and we get

b=0.27144

so,

annual depreciation rate is 27.144%.......Answer

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I need some help with this calculus 1 question.
Cerrena [4.2K]

Answer:

(a) f'(1)=-4

(b) y+4x-4=0

Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

y=x-x^5

The derivative is

y'=1-5x^4

(a) The slope of the tangent line at (1,0) is

f'(1)=1-5\cdot 1^4=-4

f'(1)=-4

(b) The equation of the tangent line can be found with the general formula of the line:

y-y_o=m(x-x_o)

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

y-0=-4(x-1)

Or, equivalently

y+4x-4=0

3 0
3 years ago
Can u please show me the work to 67,473 divided by 32
puteri [66]
This is the answer to 67,473 divided by 32. I hoped this helped. I used colors to hopefully help you more.

5 0
3 years ago
How do you completely factor 2^2-9
Maurinko [17]
Step 1. Simplify 2^{2} to 4

4-9

Step 2. <span>Simplify

</span>-5
<span>
Done! Your answer is </span>-5
5 0
4 years ago
Write a division equation you could use to find a, the number of miles ava is in charge of. What is the value of a? Write your a
emmainna [20.7K]

Answer:

Ava was in charge of clearing a 16 mile ratius along the parks sidewalk, after she finished, she was ordered to get the exact number of feet in each mile, she knew she cleared 84480 feet, how can she find a, the exact number of one mile?

Step-by-step explanation:

Ava had to clear 84480 feet, after she finished she had to find out the exact number of feet in a mile, she knew she had 5280 feet in a mile, so you have to divide 5280 to 84480

7 0
3 years ago
Find soluton to x^2-14x+49=25
Artyom0805 [142]

\boxed{x=12 \ and \ x=2}

<h2>Explanation:</h2>

In this exercise, we have the following equation:

x^2-14x+49=25

We can write this Quadratic Equation in Standard Form as follows:

x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

  • The sum is -14
  • The product is 24

Those numbers are:

  • -12 and -2
  • SUM: -12-2 = -14
  • PRODUCT: (-12)(-2)=24

So we can write this as:

x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\  x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

6 0
3 years ago
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