The value of a machine depreciates each year by 5% of its value at the beginning of that year. If its value when new on 1st January 1980 was # 10,250. 00, what was its value in January 1989 when its was 9years old. Give your answer correct to three significant figures.

Answers

Answer 1

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460[/tex]


Related Questions

Can someone help me figure this out

Answers

Answer:

k is 16 so now u would plug it in.

Step-by-step explanation:

3 is 65 and 9 is 65 because they are alternate interior angles

Flower pots cost $60.25 each.
Flower pot saucers cost $25 each.
A customer buys 4 of each.
How much change should the customer
receive from $500?

Answers

Answer:

159 dollars

Step-by-step explanation:

Multiply 60.25 and 25 four times and add them. Then subtract it from a 500.

which is the simplest form of the expresson...​

Answers

should be the last one hope this helps :]

Your car gets 25 mi/gal around town and 30 mi/gal on the highway.
a. If 50% of the miles you drive are on the highway and 50% are around town, what
is your overall average miles per gallon?
b. If 60% of the miles you drive are on the highway and 40% are around town, what
is your overall average miles per gallon?

need work shown if possible im really confused

Answers

Answer:

Ok so what it is asking on part A is if your driving 50% on the highway which is 30 miles a gallon and 50% on around the town which is 25 miles a gallon then how many miles a gallon are you getting and the answer for that you need to first find what kind of problem it is and in this case you are working with percents so what you first want to do is  multiply 50% to both 30 and 25 which will be 15 and 12.5 then add those together to get you answer now do the same for part B but instead of 50% it will be 60% and 40%.

Step-by-step explanation:

glad I could help

What is x?
5x - 1 = - 8

Answers

Answer:

x = -1.4, -7/5, or -1 2/5 (all same answer, just in different forms)

Step-by-step explanation:

Step 1: Add 1 to both sides.

[tex]5x-1+1=-8+1[/tex] [tex]5x=-7[/tex]

Step 2: Divide both sides by 5.

[tex]5x/5=-7/5[/tex] x = -1.4, -7/5, or -1 2/5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

x = -7/5 or -1.4

Step-by-step explanation:

Given :-

5x - 1 =  -8

To Find :-

x

Solving :-

5x - 1 = -8

5x = -7

x = -7/5 or -1.4

Solution :-

x = -7/5 or -1.4

Look at picture need help asap

Answers

Answer:

f^-1 = 3(x + 1)

Step-by-step explanation:

f(x) = (3 - x)/x

y = (3 - x)/x

x = (3 - y)/y

xy = 3 - y

xy + y = 3

y(x + 1) = 3

y = 3/(x + 1)

f^-1 = 3(x + 1)

What is the value of tan D? look at the picture

thanks you!!​

Answers

Answer:

12/5

....

....

....

...

....

....

Answer:

5/12

because 5 is the X and 12 is the Y therefor 5/12

It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.

Answers

Answer:

[tex]k = (-162)[/tex].

Step-by-step explanation:

A point of the form [tex](x_{0},\, y_{0})[/tex] belongs to the graph of this function, [tex]y = k / x[/tex], if and only if the equation of this function holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex].

The question states that the point [tex](-9,\, 18)[/tex] belongs to the graph of this function. Thus, the equation of this function, [tex]y = k / x[/tex], should hold after substituting in [tex]x = (-9)[/tex] and [tex]y = 18[/tex]:

[tex]y = k / x[/tex].

[tex]18 = k / (-9)[/tex].

Solve this equation for the constant [tex]k[/tex]:

[tex]\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}[/tex].

Thus, [tex]k = (-162)[/tex].

A biologist hopes to estimate the proportion of alligators in Florida that are adult. When sampling alligators, the biologist computes the one-proportion Z-interval going from 0.67 to 0.74 at 99% confidence. The margin of error for a 95% confidence interval would be:_____.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:

[tex]\pi = \frac{0.67 + 0.74}{2} = 0.705[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2[/tex]

[tex]n = 1126[/tex]

Hence, the margin of error is given by:

[tex]M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Say you've got a credit score of 750, and you miss one credit card payment will
this impact your credit score MORE or LESS than if your original score was 650?
Why do you think this is the case?

Answers

The higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be greater too.

Percentages

Given that you've got a credit score of 750, and you miss one credit card payment, to determine if this will impact your credit score MORE or LESS than if your original score was 650, the following calculation must be performed:

Suppose that a non-payment reduces the value of the score by 5%.100 - 5 = 95750 x 0.95 = 712.5 (-37.5)650 x 0.95 = 617.5 (-32.5)

Thus, as can be seen, the higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be.

Learn more about percentages in https://brainly.com/question/8011401

The scatterplot shows the relationship between the time a water balloon is filled from a running faucet and the volume of the balloon.


Which transformations would display linearized data? Check all that apply.


ln(Time), ln(Volume)

Time,

Time3, Volume3

Time, log(Volume)

Time3, Volume

Answers

Answer:

a,b,e

Step-by-step explanation:

Answer:

A; B; E

In(Time), In(volume) ; Time,3/volume ; Time^3, Volume

Step-by-step explanation:

Draw a picture or model to show the ratio 8:5 explain how you know your picture shows the ratio.

Answers

Answer:

draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.

What is the area of the parallelogram?
11 in.
13 in

A. 290 in.^2
B. 286 in.^2
C. 143 in.^2
D. 71.5 in^2

Answers

C. A= B*h. 11x13=143.

help please
i don't understand

Answers

Answer:

I believe it has 9 edges, comment if u need me to explain more

Answer:

6

Hope it helps!

10. Determine whether MN and RS are parallel, perpendicular, or neither. M(-2, 2) N(1.-3) R(-2, 1) S(3,4)​

Answers

Answer:

3.4 and 1 - 3

Step-by-step explanation:

NEED ANSWER ASAP!! 25 POINTS! PLS HELP!! a triangular prism has a base that is 10cm2. its height is 8cm. what is the volume?
A. 800 cm3
B. 640 cm3
C. 80 cm3
D. 40 cm3

Answers

Answer:

C. 80cm³

Step-by-step explanation:

Solution,

Given,

Height = 8cm

Base Area = 10cm²

Now,

Volume = Area ( Base ) × Height

= 10 × 8

= 80cm³

Answer: 80 cm

Step-by-step explanation: GIVE THAT PERSON WHO ANSWERED FIRST BRAINLIEST :DDDD

If there are 1,400 costumers in a given week, how many would you expect to prefer chocolate strawberry or vert berry mix?​

Answers

Answer:

770 customers

Step-by-step explanation:

Oooh I love these types of questions!

First we should add all of the numbers to find the total number of people so we can set up a proportion later.

70+36+46+40+8=200

Now that we've found the total, we need to find chocolate strawberry and vert berry, because the wording "or" would mean either. If the wording said "and" we would not have enough information to solve that.

Chocolate Strawberry is 70, and Very Berry is 40. Add that to get 110.

Now we have our needed numbers to make a proportion! This is because for each 200 people, we know that they'd want 110 Chocolate Strawberry or Very Berry.

So we would need to make a proportion for 1400.

110/200=x/1400

Cross multiply (or do that trick where you divide 1400 by 200 and then multiply 110 by that number, but cross-multiplying is a good habit)

110(1400)=200x

Simplify

154000=200x

Isolate the variable

154000=200x

/200        /200

770=x

And that would be your answer! If I made any errors, please tell me!

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance. How much greater is the minimum payment on Card E than on Card D? a. $18. 85 b. $8. 10 c. $11. 24 d. $0. 77 Please select the best answer from the choices provided A B C D.

Answers

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

What is percentage ?

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage  of $ 691.64

[tex]=3.54\times\frac{691.64}{100} =24.691548=24.69[/tex]

minimum balance of Card E is  2. 51 Percentage  of  $1,014. 22.

[tex]=2.51\times\frac{1014.22}{100} =25.456922=25.46[/tex]

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

To learn more about Percentage  visit : https://brainly.com/question/19247356

Find the equation of a line through (-3,5) and perpendicular to (1,-3) (6,1)

Answers

Step-by-step explanation:

simply use the formula as given in the image

PLEASE HELP I WILL MARK AS BRAINLIEST!!! HELP PLEASE!!!!!

Answers

Answer:

The answer would be x=7

FInd the area of the figures

Answers

Answer:

What is that on

Step-by-step explanation:

d = 3xy − y I will MARK BRAINLIESTTTTTTTTTTT ASAP PLEAAAAASSSSSSEEEEEE

Answers

Answer:

Since  

3

y

is constant with respect to  

x

, the derivative of  

3

x

y

with respect to  

x

is  

3

y

d

d

x

[

x

]

.

3

y

d

d

x

[

x

]

Differentiate using the Power Rule which states that  

d

d

x

[

x

n

]

is  

n

x

n

1

where  

n

=

1

.

3

y

1

Multiply  

3

by  

1

.

3

y

Step-by-step explanation:

I WILL GIVE BRAINLEST IF ANSWER IS CORRECT AND U ARE FIRST!!!!!!!!!!!!!!!!!!!!!!!!!
Sean is raising funds for an event at his school. He has collected $25 each from x
people, and he is still $100 short of his goal.
The expression that gives his goal is _____.

Answers

Answer:

25x-100= a

let a= the amount of money for his goal????

Step-by-step explanation:

PLEASE HELP ME YOU HAVE TO MAKE AN EQUATION LIKE y=mx+b!!!

Answers

Answer:

5. y=-3x-3

6.y=5/3x+5

Step-by-step explanation:

you take the slope of the line and substitute it for x and take the y-intercept and sub it in for b

I hope this is right

A box measures 5 inches long x 9 inches deep x 11 inches high. What's its volume in cubic inches?

Answers

495 cubic inches (5x9x11)

how much money is 1 dollar, 3 quarters, 1 nickel, and 3 pennies

Answers

Answer:

1.83$

Step-by-step explanation:

What value(s) for n will make this expression true?|n| = 3. 5

Answers

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a Modulus sign so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

Step-by-step explanation:

rectangle has sides that are 25 m, 25m, 9m, and 9 m. What is the rectangle’s width?

10pts

68m


9m


25m


18m

Answers

9m
It said the sides are 25m (x2) and 9m(x2). The width of a rectangle are shorter than the length so 9m.

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)

Answers

Answer: it’s the third option

Step-by-step explanation:

Answer:

y – 7 = 4(x – 1)

Step-by-step explanation:

Third option

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble? StartFraction 1 over 45 EndFraction StartFraction 1 over 5 EndFraction StartFraction 4 over 15 EndFraction Two-fifths.

Answers

The probability of randomly selecting a red marble will be P=1/45

What is probability?

The probability is defined as the chances of happening of any event it is defined as the ratio of required outcomes to the total number.

Now here is the question, it is given that

Total marbles in the bag = 15

probability of randomly selecting a green marble =  [tex]\dfrac{1}{3}[/tex]

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is   [tex]\dfrac{1}{15}[/tex]

So, the probability of randomly selecting a red marble will be the product of the two probabilities.

[tex]P= \dfrac{1}{3} \times \dfrac{1}{15}[/tex]

[tex]P=\dfrac{1}{45}[/tex]

Thus the probability of randomly selecting a red marble will be

[tex]P= \dfrac{1}{45}[/tex]

To know more about probability follow

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If you can tell me what you want to do to make earth great ill give you an brainiest Person-centered planning is an ongoing process but is only addressed formally once or twice a year. A. True B. False 3 5/6 as a fraction greater than 1 Plzzzzzzz help good answers only and best answer gets brainly The Fox and the Grapesfrom Aesop's Fables A Fox one day spied a beautiful bunch of ripe grapes hanging from a vine trained along the branches of a tree. The grapes seemed ready to burst with juice, and the Fox's mouth watered as he gazed longingly at them. The bunch hung from a high branch, and the Fox had to jump for it. The first time he jumped he missed it by a long way. So, he walked off a short distance and took a running leap at it, only to fall short once more. Again, and again he tried, but in vain. Now he sat down and looked at the grapes in disgust. "What a fool I am," he said. "Here I am wearing myself out to get a bunch of sour grapes that are not worth gaping for." And off he walked very, very scornfully.Choose the best summary of the story.A. A Fox saw a bunch of ripe grapes hanging from a branch. He jumped many times trying to reach them until he was finally satisfied with his efforts to get the grapes.B. A Fox saw a bunch of ripe grapes hanging from a branch. But once he finally got the grapes, he learned they were not ripe enough.C. A Fox saw a bunch of ripe grapes hanging from a branch. But he soon decided they were too high and walked away.D. A Fox saw a bunch of ripe grapes hanging from a branch. He jumped many times but could not reach them. Then he gave up saying he did not want them anyways. How are rainbows made In what way can composition structures help you create your artwork?DO NOT TRY TO COPY AND PASTE JUNK FROM GOOGLE Dose anyone know what language this is? The end of the Stone Age (around 10,000-12,000 years ago) witnessed the change from hunter-gatherer societies to agricultural societies. This led to the rise of civilization. The process of determining representatives per state is called ____ Ustedes van a visitar Tio A factory needs to produce 1,800 jars of peanut butter on a certain day.They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.At what time will they complete the total number of jars that they need to produce? A. 12:30 P.M. B. 1:30 P.M. C. 2:30 P.M. D. 3:30 P.M. Please help 20 points please helpppp I dont understand In many novels, there comes a ____________ in which the main character must make an important decision.a. predicament b. Disaster c. Situationd. Crossroad Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer. Thornton Camps, Inc. leases the land on which it builds camp sites. Thornton is considering opening a new site on land that requires $3,300 of rental payment per month. The variable cost of providing service is expected to be $5 per camper. The following chart shows the number of campers Thornton expects for the first year of operation of the new Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. Total 390 380 390 410 730 650 790 800 490 520 590 460 6,600 Required Assuming that Thornton wants to earn $9 per camper, determine the price it should charge for a camp site in February and August. In which two places do you need citations in your MLA paper?Group of answer choicesFootnotesAppendixthe Title PageWorks Cited pageIn the essayReferences list What is the difference between the two points (0,9) and (0,1)? Always make the melody sound the same throughout the song. t or f Please Help me Its a Math question!!!! Please