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torisob [31]
3 years ago
14

A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

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Solve the equation -8 = -3 - 6 cube root x^2
Volgvan

Answer:

0.76

Step-by-step explanation:

-8+3=-6x^(2/3)

-5=-6 x^(2/3)

-5/-6=x^(2/3)

(2/3)√{5/6}=x

0.76=x

x=0.76

5 0
2 years ago
The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b
Oksi-84 [34.3K]
9:12=\frac{9}{12}=\frac{9:3}{12:3}=\boxed{\frac{3}{4}}\leftarrow\boxed{d.}
7 0
3 years ago
Read 2 more answers
Can you please help me with this problem?
Hoochie [10]
Here you have to find which each variable is, for this you start of picking one equation,

x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16

depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4

With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4

= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,

-4x -7z = -8
4x + 2z = 16

= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)




6 0
3 years ago
Answer the following questions:
timama [110]

Answer:

Question 1: 76 dollars. ($76)

2. 1/5  

3. 1/19

4. 1/5

Step-by-step explanation:

QUESTION 1:

228 (the amount Mrs. Nicci had) divided by 3 (children) is equal to 76

228/3 = 76

QUESTIONS 2, 3, AND 4.

2. Find the greatest common divisor (GCD). the GCD of 14 and 70 is 14. Then, divide the numerator and denominator by 14.

14/14 = 1

70/14 = 5

WHICH EQUALS 1/5!!

3. Find the greatest common divisor (GCD). the GCD of 5 and 95 is 5. Divide both the numerator and denominator by 5.

5/5= 1

95/5= 19

WHICH EQUALS 1/19!!

4. Find the greatest common divisor (GCD). the GCD of 12 and 60 is 12. So (like we have been doing for the whole part of this question), divide both the numerator and denominator by 12, which is the GCD.

12/12 = 1

60/12 = 5

WHICH EQUALS 1/5!!

Hope this helped.. I think this is like one of the longest Brainly answers I've recently had to type lol

4 0
3 years ago
Write:<br> 3^-4 in standard form
pav-90 [236]

Answer:

\frac{1}{81}

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as \frac{1}{3^{4}}

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

4 0
3 years ago
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