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

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)

FInd the area of the figures

Answers

Answer:

What is that on

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.

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

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.

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

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:

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

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:

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.

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

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].

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!

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

Answers

Answer:

The answer would be x=7

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

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:

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!

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

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

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:

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)

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:

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

Answers

Answer:

1.83$

Step-by-step explanation:

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

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

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

https://brainly.com/question/24756209

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.

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

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