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Andru [333]
3 years ago
14

A vehicle purchased for $27,500 depreciates at a constant rate of 8%. Determine the approximate value of the vehicle 11 years af

ter purchase. Round to the nearest whole dollar.
Mathematics
2 answers:
irina [24]3 years ago
7 0

Answer:

10990

Step-by-step explanation:

We use the exponential equation

y = ab^x

where a is the inital value , b is the decay rate and x is the years

b = 1 - the depreciation rate

y = 27500 ( 1-.08)^ 11

  27500 ( .92) ^11

   10990.02789

To the nearest whole dollar

10990

suter [353]3 years ago
4 0

Answer:

$10,990

Step-by-step explanation:

We can use the simple interest rate formula for this problem: A = P(1 - r)^t

All we need to do is plug in the known variables:

A = 27500(1 - 0.08)^11

You can calculate your answer using a calc and you should get $10,990 as your answer!

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A rope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically. If t
nikdorinn [45]

Answer:

<em>The length of the arc on the sixth swing was </em><em>12.18 ft.</em>

Step-by-step explanation:

A rope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically.

The third arc is 22 ft. long and the seventh arc is 10 ft.

Hence, the 3rd term is 22 and 7th term is 10.

The length of the arc on the sixth swing is asked, so we have to calculate the 6th term.

We know the nth term in GP is,

T_n=ar^{n-1}

So,

T_3=ar^{3-1}=ar^2  ----------------1

T_7=ar^{7-1}=ar^6  ----------------2

Dividing equation 2 by 1,

\Rightarrow \dfrac{T_7}{T_3}=\dfrac{ar^6}{ar^2}

\Rightarrow \dfrac{10}{22}=\dfrac{ar^6}{ar^2}

\Rightarrow \dfrac{10}{22}=\dfrac{r^6}{r^2}

\Rightarrow \dfrac{r^6}{r^2}=\dfrac{10}{22}

\Rightarrow r^4=\dfrac{10}{22}

\Rightarrow r=\sqrt[4]{\dfrac{10}{22}}

\Rightarrow r=0.8211

Then the 6th term will be,

T_6=ar^{6-1}=ar^5  ----------------3

Dividing equation 2 by 3,

\Rightarrow \dfrac{T_7}{T_6}=\dfrac{ar^6}{ar^5}

\Rightarrow \dfrac{10}{T_6}=\dfrac{a(0.8211)^6}{a(0.8211)^5}

\Rightarrow \dfrac{10}{T_6}=0.8211

\Rightarrow T_6=\dfrac{10}{0.8211}=12.18\ ft

Therefore, the length of the arc on the sixth swing was 12.18 ft.


6 0
3 years ago
On a bicycle, Reshanda rides for 4 hours and is 30 miles from her house. After riding for 11 hours, she is 79 miles away. What i
ivanzaharov [21]

Based on the number of miles that Reshanda rode on her bicycle from her house, her average rate over the last 7 hours of the trip was 7 miles per hour

<h3>How to find the average rate?</h3>

The average rate shows the speed that a person was going over a period of time such that they were able to cover a certain distance, in that period of time.

First, find the number of miles that Reshanda rode in the last 7 hours of her trip on the bicycle:

= Number of miles after 11 hours - Number of miles after 4 hours
= 79 miles - 30 miles

= 49 miles

Reshanda was able to ride for 49 miles in the last 7 hours so her average rate was:

= Distance / Time

= Number of miles ridden / Time ridden

= 49 / 7

= 7 miles per hour

Find out more on average rate at brainly.com/question/27886554

#SPJ1

4 0
1 year ago
Someone please help me with this!!! (20 points)
ipn [44]

Answer:

Step-by-step explanation:

7a^{2} - 2a + 6  - ( -5a^{2} + 3 )

7a^{2} - 2a + 6 + 5a^{2} - 3

12a^{2} -2a +3

6 0
2 years ago
Read 2 more answers
les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts. He spent a total
Mekhanik [1.2K]
Shorts - 6s
Blazer - 3s 

6*s + 3*s = 139.5
9s=139.5
s=139.5/9
s=15.5
blazer - $46.5
7 0
4 years ago
Explain 81-16 in mental math
Tems11 [23]

Answer:

we have  

(81-16)  

One way to use mental math is to add  4  to both  81  and  16  

so

81+4=85\\ 16+4=20\\ 85-20=65  

therefore

81-16=65  

the answer is

65

Step-by-step explanation:


3 0
4 years ago
Read 2 more answers
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