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ladessa [460]
3 years ago
15

A car bought from a dealership depreciates in value every year by 4.1% of what it's worth at the start of that year. It is initi

ally bought for $34000. Find the value that the car is worth after 7 years.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0
To find the depreciation of the car take the amount it goes down by each year (4.1%) and make x the number of years. 34000 · (4.1% · 7) = 9758. That's your depreciation. Now just subtract the depreciation from the total and you get 24242
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Choose the function that has domain x<br> -3 and range y + 2.
garri49 [273]

Answer:

5

Step-by-step explanation:

because y=2 is in the y line

4 0
3 years ago
What is unit rate for ballons used per minute if it takes 5 min to make a sculpture using 7 balloons
Ray Of Light [21]
5:7 I think. ............
5 0
3 years ago
A sequence is defined by the recursive function f(n + 1) = one-half(n). If f(3) = 9 , what is f(1) ?
bezimeni [28]

The value of f(1) is 81

<h3>What is Recursive function?</h3>

Recursive Function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms

Given:

f(n + 1) = 1/3* f(n)

f(3) = 9

let n=0

f(0+1) = 1/3 * f(0)

f(1) = 1/3 * f(0)

Let n=1

f(1+1) = 1/3 * 1/3*f(0)

f(2) = 1/9 * f(0)

let n=2

f(2+1) = 1/3 * 1/9* f(0)

f(3) = 1/27 * f(0)

Also, f(3) =9

So,

9 = 1/27 * f(0)

f(0) = 27 * 9

f(0) = 243

Now,

f(1) = 1/3 * f(0)

f(1) = 1/3/ 243

f(1) = 81

Learn more about this concept here:

brainly.com/question/14216181

#SPJ1

8 0
2 years ago
Find all zeros of the polynomial P(x) = x3 − 2x2 − 3x + 10. Express any non-real roots in the form a + bi.
Strike441 [17]

Answer:

x =  - 2 \: or \: x = 2 - i \: or \: x = 2 + i

Step-by-step explanation:

The given equation is

p(x) =  {x}^{3} - 2 {x}^{2} - 3x + 10

We can see that:

p(  - 2) =  {( - 2)}^{3} - 2 {( -2) }^{2} - 3( - 2)+ 10

p(  - 2) =  - 8- 8 + 6+ 10 = 0

This means x=-2 is a zero of p(x).

From the long division in the attachment,

We can rewrite the polynomial as:

{x}^{3}  - 2 {x}^{2}  - 3x + 10 = (x + 2)( {x}^{2}  - 4x + 5)

We now find solution to the quadratic part:

{x}^{2}  - 4x + 5 = 0

This is given by:

x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}

We plug in the values to get:

x =  \frac{ -  - 4 \pm \sqrt{ {( - 4)}^{2}  - 4 \times 1 \times 5} }{2 \times 1}

x =  \frac{ 4 \pm \sqrt{ 16  -  20} }{2 }

x =  \frac{ 4 \pm \sqrt{ - 4} }{2 }

x =  \frac{ 4 \pm2i}{2 } \\ x =   2 \pm \: i \\ x = 2 - i \: or \: x = 2 + i

Therefore all solutions are:

x =  - 2 \: or \: x = 2 - i \: or \: x = 2 + i

4 0
3 years ago
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dezoksy [38]

Answer:  \dfrac{5}{4}

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : ar=\dfrac{1}{5}

The common ratio between the terms is given by :-

r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}

We know that the sum of infinite geometric series is given by :-

S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}

Hence, the sum of the given infinite series = \dfrac{5}{4}

7 0
3 years ago
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