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mihalych1998 [28]

1 year ago

7

Danica bought a car for d Dollars. It depreciates by a factor of f each year. What expression best predicts the value of the car

in 15 years?

1 answer:

vitfil [10]1 year ago

8 0

Answer:

Y=d(1-e%)^15

Step-by-step explanation:

Kindly check the attached picture for detailed explanation

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

1 year ago

A snake tank measures 1.8 m x 0.5 m x 0.5 m. What is the surface area of the tank including the top? Use the formula: SA = 2hl+2

olganol [36]

Answer:

4.1

Step-by-step explanation:

1.8 x 0.5 = 0.9

0.5 x 0.5 = 0.25

2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)

2 x 2.05 = 4.1

Therefore the answer is 4.1

I hope that was helpful!

8 0

1 year ago

Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba

hram777 [196]

Answer: $0.5714\frac{1}{15}$

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = $0.5(0.5) = 0.25$

Thus Prob for Bill winning

= $0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...$

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = $\frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714$

4 0

1 year ago

A race car driver lost 8 seconds off the leader for each of the 3 pit stops the driver made. At each of the next 2 pit stops the

LiRa [457]

The answer would be A.
if he lost 8 seconds off of 3 pit stops that means he lost 24 seconds. if he can’t 10 seconds for the 2 he made, he gained 20. so therefore, he is only 4 seconds behind the leader. I hope this helps :)

8 0

2 years ago

Read 2 more answers

Please help. Find the length of the side labeled x. Round intermediate values to the nearest thousandth. Use the rounded value

Vaselesa [24]

19)18.7 20)7.9
21)13.3 22)102.4

5 0

1 year ago

Read 2 more answers