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3 years ago

Solve step by step for k. k/2+1/2=3

Mathematics

1 answer:

sveta [45]3 years ago

3 0

K=1/2 is the correct answer.

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The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will

lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

$V(t) = 14651(0.81)^{t}$

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

$V(t) = 14651(0.81)^{t}$

$(0.81)^t = \frac{V(t)}{14651}$

$\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}$

$t\log{(0.81)} = \log{(\frac{V(t)}{14651})}$

$t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}$

(a) $8000

V(t) = 8000

$t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9$

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

$t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2$

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

$t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7$

The car will be worth $1000 after 12.7 years.

5 0

2 years ago

Find the sum of 0.48 and 0.6

Montano1993 [528]

Answer: the sum is 1.08

7 0

2 years ago

Suppose you are doing a binary search of the list [15, 18, 2, 19, 18, 0, 8, 14, 19, 14]. How many comparisons would you need to

Illusion [34]

Answer:

Three Times.

Step-by-step explanation:

First and foremost a binary search requires that the array be sorted in ascending or descending order.

After the initial step the search goes to the middle most value

i.e. $[0, 2,8,14,14,15,18,18,19,19]$

will be the second 14, which is the first iteration.

Since 14 is less than 19 the search will eliminate the lower half of the including 14, and will iterate again through the array:

$[15,18,18,19,19]$

The array will go to the middle most value which is 18, second iteration. Since 18 is less than 19, the program will eliminate the lower half and be left with two values i.e. $[19,19]$ .

The search will run once i.e. third iteration, and will return key value found.

7 0

3 years ago

26 beats in 1/6 minutes equals what beats per minute

Zina [86]

Answer:

156

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Hi there!

ExtremeBDS [4]

The answer is in my attachment

6 0

3 years ago