A quantity with an initial value of 8100 grows exponentially at a rate of 0.35% every 4
decades. What is the value of the quantity after 47 years, to the nearest hundredth?

Answers

Answer 1

Answer:

8133.38

Step-by-step explanation:

Given that :

Initial value, P = 8100

Growth rate = 0.35% every 4 decade = 0.35% /40 = 0.0000875 per year

Quantity after 47 years

Using the relation :

A = P*e^(rt)

Amount after t years

t = 47 years

A = 8100 * e^(0.0000875*47)

A = 8100 * e^0.0041125

A = 8100 * 1.0041209

A = 8133.3798

A = 8133.38 (nearest hundredth)


Related Questions

Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g3h5 feet long, express the area of his plot as a monomial

Answers

Answer:

[tex]Area= 36g^6h^{10}[/tex]

Step-by-step explanation:

Given

[tex]Length = 6g^3h^5[/tex]

Required

Determine the area as a monomial

This is calculated as:

[tex]Area = Length * Length[/tex]

[tex]Area= 6g^3h^5*6g^3h^5[/tex]

This can be rewritten as:

[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]

Apply law of indices

[tex]Area= 36*g^6*h^{10}[/tex]

[tex]Area= 36g^6h^{10}[/tex]

Name the diameter for the circle

Answers

Answer:

DH

Step-by-step explanation:

The 7th grade class participated in the following
fitness challenges. If there are 250 students total,
how many participated in weight lifting?

Answers

Answer:

20 students

Step-by-step explanation:

Weight lifting:

8% = 0.08

250(0.08) = 20

Please help me. Find mQ, mR, and mS please

Answers

Step-by-step explanation:

since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.

have a good day :)

Where’s the picture or any other information so I can try to answer

YOU JUST OPEN YOUR FIRST BUSINESS YOU HAVE RENT $1,000 YOUR FIRST ORDER OF PRODUCT WAS $10,000 YOU PHONE BILL IS $120 FOR 4 LINES, ELECTIRC BILL FOR THE FIRST MONTH IS $150, AND YOUR HEAT BILL IS $200 HOWEVER, SPRING IS NEAR SO YOU CAN CUT YOUR HEAT OFF. NOW ITS TIME TO PAY YOUR SELF AND EMPLOYEES. YOUR SALARY IS $5,000 EVERY OTHER WEEK AND YOU HAVE WAGES OF $20,000. .HOW MUCH IS YOUR TOTAL COST? *

Answers

Answer: $26,470

Step-by-step explanation:

Total costs are all the expenses that have to be paid by your business to keep it producing.

In this case that figure is:

Total cost = Rent + Phone bill + Electric bill + Heat bill + own salary + Wages

= 1,000 + 120 + 150 + 200 + 5,000 + 20,000

= $26,470

Find the product of 5.26 and 12.4.

Answers

Answer:

Product of 5.26 & 12.4

= 5.26 × 12.4

= 65.224

Answer:

65.224

Step-by-step explanation:

5.26 × 12.4 = 65.224

HELP PLS ASAPP !!! :(

Answers

The Himalaya stay between Indian and China

PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3

Answers

no because the first number has to be greater than one

what % of 800,000 = 560,000​

Answers

Answer:

70%

Step-by-step explanation:

560,000/800,000= 0.70

Help!
This is for Patterns, Functions, and Algebra!

Answers

Answer:

Consider the following polynomial.

2y9−y6+2+7y10

Identify the degree.

Answer: C

Step-by-step explanation: he has 50 total and 4 per minute is draining which means it’s going to be -4t because it’s after t minutes.

Can someone help me please
I will give Brainiest

Answers

Answer:

PQR = 126

Step-by-step explanation:

summplementary = 180

(4x+2)+(2x-8) = 180

6x - 6 = 180

x = 31

PQR = 4x+2

= 4(31)+2

= 126

Plz, answer this question plz!

Answers

Answer:

third option down I'm 99% sure

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min ? This is for (348919) ;-; I hope I was not mean if so am sorry but is for ( 348919)

Answers

Answer:

25 km

Step-by-step explanation:

Distance covered in 20 min = 5 km

Distance covered in 1 min = 5/20 km or 1/4 km.

Distance covered in 100 min =

1/4 km x 100 = 25 km

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Answers

Answer:

I havn't gotten c and d yet, but:

a) They are similar because of the Angle Angle Theorem

b) JN=4ft

Suppose the are 50 eighth-graders in one school in Boone. If 1/10 of the eighth graders are home with the flu and 2/3 of the remaining school students are on a field trip, how many are in school?

Answers

Answer:

15

Step-by-step explanation:

1/10 of 50 = 5

50 -5 = 45

2/3 of 45 =30

45-30=15

Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range

Answers

Answer:

Step-by-step explanation:

None of them are correct. The closest is D.

The domain is all real x or (-∞, ∞)

The range is [0, ∞).

Olivia entered a baking contest. As part of the contest, she needs to demonstrate how to measure a gallon of milk if she only has a teaspoon measure.

Answers

1 gallon= 768 teaspoons

Point-Slope
Instructions: Write the equation of the line in Point-Slope Form given the information below.
Slope =
Point = (1,4)
Point-Slope Form:
Check
7

Answers

Answer:

Look below.

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

Point: (1,4)

First you have to plug in our point and the slope (m) if we had one.

1 will be plugged into x1 while 4 will be plugged into y1.

Answer: y-4=m(x-1)

This is as much as we can do with the information provided.

A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter.
PLEASE HELP! I WILL MARK AS BRAINLIEST!

Answers

400 = 8x * x

400 = 8x^2

400 / 8 = x^2

root/50 = x

7.1cm = x

JJ buys a video game for $50.00. If the sales tax is 8.25%



Enter the sum, in dollars, that JJ paid, including tax.

Answers

Answer:

$54.26

Step-by-step explanation:

Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.

This will give you .0825.

Multiply this number by $50 and add it to it

$54.26

Hope this helps! Good luck!! :)

The nth term of a sequence is 12n - 5

Work out the numbers in the sequence that have two digits and are NOT prime.

Answers

9514 1404 393

Answer:

  55, 91

Step-by-step explanation:

The 2nd through 8th numbers in the sequence are the 2-digit numbers ...

  19, 31, 43, 55, 67, 79, 91

Of these, the ones that are composite (not prime) are ...

  55 = 5·11

  91 = 7·13

what is the range of g?

Answers

Answer:

B.

Step-by-step explanation:

The values for g(x) divert after the point -1.

So, the values are going to be equal or greater than -1.

HELPPPPP !!!!!!!! PLSSSS AWNSERRR!! i'm not looking for "X"! Unit 7: Polygons & Quadrilaterals Homework 3: Rectangles i'm looking for the answers of 11, 12, 13, 14.

Answers

Answer:

11) 5x + 8 = 7x - 16

24 = 2x

x = 12

7(12) - 16 = 68

90 - 68

m<GJK = 22

12) 4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

4(4) + 15 = 31

90 + 31 + ADE = 180

m<ADE = 59

13) 5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

5(15) - 12 = 63

VWZ + 63 = 90

m<VWZ = 27

14) 9x + 3 = 14x - 27

30 = 5x

x = 6

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

m<DHG = 114

Measure of angles of polygons and quadrilaterals:

1) ∠GJK = 22°

2) ∠ADE = 59°

3) ∠VWZ = 27°

4) ∠DHG = 114°

11)

5x + 8 = 7x - 16

24 = 2x

x = 12

Now substitute the value of x,

7(12) - 16 = 68

90 - 68

∠GJK = 22°

12)

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

Now substitute the value of x,

4(4) + 15 = 31

90 + 31 + ADE = 180

∠ADE = 59°

13)

5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

Now substitute the value of x,

5(15) - 12 = 63

∠VWZ + 63 = 90

∠VWZ = 27°

14)

9x + 3 = 14x - 27

30 = 5x

x = 6

Now substitute the value of x,

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

∠DHG = 114°

Know more about quadrilaterals,

https://brainly.com/question/13805601

#SPJ6

Pind the distance between -5 and 8.

Answers

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

---

hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3

simplify: 10 (3x-4)=30-5x​

Answers

10( 3x-4)=30-5x
30x-40 = 30 - 5x
30x +5x = 30+40
35x = 70
x = 70/35
x = 2

Answer:

x=2

Step-by-step explanation:

10(3x−4)=30−5x

Step 1: Simplify both sides of the equation.

10(3x−4)=30−5x

(10)(3x)+(10)(−4)=30+−5x(Distribute)

30x+−40=30+−5x

30x−40=−5x+30

Step 2: Add 5x to both sides.

30x−40+5x=−5x+30+5x

35x−40=30

Step 3: Add 40 to both sides.

35x−40+40=30+40

35x=70

Step 4: Divide both sides by 35.

 35x         70

____   = _____

 35            35  

x=2

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Really sorry if it is complicated

Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!

Answers

Answer:

900 people

Step-by-step explanation:

540 / 60 = 9

10% = 9

9 x 100 = 900 people

Hope that helps!

Answer: 900

Explanation:

help please! (no links)

Answers

EZ is 24.5
Happy is 25

During a hone run hitting contest Joe D hit 5 more home runs then ted w, ted w hit 8 more home runs then willie M. Altogether the three baseball players hit 105 hone runs, how many home runs did Ted W hit

Answers

Answer: 36

Step-by-step explanation:

Let Willie number of home run he represented by x.

Since ted w hit 8 more home runs than willie M, Ted home runs = x + 8

Since Joe D hit 5 more home runs than ted w, Joe D home run will be: = x + 8 + 5 = x + 13

Since they hit 105 home runs together, this will be represented as:

x + (x+8) + (x+13) = 105

x + x + 8 + x + 13 = 105

3x + 21 = 105

3x = 105 - 21

3x = 84

x = 84/3

x = 28

Number of Ted home run will be:

= x + 8

= 28 + 8

= 36

I need help please and thank you ( umm 10 points i think ). thank u

Answers

Answer:

D

Step-by-step explanation:

since it tells you y is=1 plug that into the top equation

-1=5x+4

-1=x

and you already have y=-1

so its(-1,-1)

this is simple

since y = -1

y = 5x + 4

-1 = 5x + 4

5x = -5

x = -1

therefore answer is (-1, -1)

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