The balance of an account after t years can be found using the expression 6000(1.02)^t where the initial balance was $6000. By what percent does the account increase annually? a 1.02% b 102% c 0.02% d 2%

Answers

Answer 1

9514 1404 393

Answer:

  (d)  2%

Step-by-step explanation:

The base of the exponent is the "growth factor". It is 1 more than the "growth rate", the fraction of change in 1 year.

 growth factor = 1 + growth rate

  1.02 = 1 + 0.02

  growth rate = 0.02 = 2%

The account increases 2% annually.


Related Questions

For the following rectangular prism, find the length of the diagonal connecting A to B. Round to the nearest tenth.

Answers

Answer:

I think it is 192

Step-by-step explanation:

Volume of cube: 5 x 4 x 8 = 160

Area of diagonal: 160/2 = 80

Length of diagonal: 80 / 0.5 x 3 = 480

AB = 480 / 5 x 2 = 192

PLEASE HELP ME !!!!!!!

Answers

Answer:

x=22

Step-by-step explanation:

90-68=22

i got 90 because a right angle is 90 degrees.

22 I did it out on paper

needs some help with this please!

Answers

Answer:

y = mx

Step-by-step explanation:

if there is no '+ b' y-intercept is 0

Y= mx will be the answer to this question sir

The height $h$ and the base area $B$ of a cone are given. Find the volume of the cone. Write your answer in terms of $\pi$ .

$h=6$ units

$B=4\pi$ square units

The volume is__ cubic units.

Answers

Answer:

(i) 84 cm.

(ii) 5635π cm^2

Step-by-step explanation:

(i)

The volume of the cone = 1/3 π r^2 h

= 1/3 π 35^2 h.

The volume of the hemisphere = 2/3 π 35^3.

As the volume of the cone is 1 1/5 ( = 6/5) times the volume of the hemisphere:

1/3 π 35^2 h = 2/3 π 35^3 * 6/5

h = 2/3 π 35^3 * 6/5 / 1/3 π 35^2

h = 84 cm (answer).

(ii) Surface area of the hemisphere = 2 π * 35^2 = 2450π cm^2.

Surface area of the cone = π r l where l = slant height.

l = √(35^2 + 84^2) = 91 cm.

So the surface area of the cone = 35*91 π = 3185π.

So the total surface area of the solid is 3185π + 2450π

= 5635π cm^2.

i hope this work for you

The height and the base area of the cone are 6 units and 4π square units. Then the volume of the cone is 24π.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The height (h = 6) and the base area (b = 4π) of a cone is given.

Then the volume of the cone will be

Volume = b × h

Volume = 4π × 6

Volume = 24π

More about the geometry link is given below.

https://brainly.com/question/7558603

Put the numbers in order from least to greatest.


Btw the 3rd number is NOT 11/3. It is Pi/3
Also, the numbers with lines on top of them mean that they are infinite numbers meaning they repeat.
:) Ty!

Answers

Answer:

[tex]\sqrt{1}[/tex] , π/3 , 1.23, [tex]\frac{5}{4}[/tex], [tex]\sqrt{3}[/tex] , 1.9

Step-by-step explanation:

5/4 = 1.25

1.23232323

pi/3 = 1.0472

[tex]\sqrt{3}[/tex] = 1.732

1.999999

[tex]\sqrt{1}[/tex] = 1

[tex]\sqrt{1}[/tex] , π/3 , 1.23, [tex]\frac{5}{4}[/tex], [tex]\sqrt{3}[/tex] , 1.9

Answer:

3, 6, 2, 1, 4, 5

Step-by-step explanation:

What is the probability of flipping heads and rolling a two?

Answers

Answer:

1/12

Step-by-step explanation:

Chance of flipping heads: 1/2

Chance of rolling a two: 1/6

1/2 x 1/6 = 1/12

Answer:

1/2 x 1/6 = 1/12

probability of flipping head =1/2

rolling a two = 1/6

probability of flipping heads and rolling a two = 1/2 x 1/6

answerrrr pwlewaaaaaase

Answers

What grade is this......

Hello can someone answer this please? It's a math problem. If u can, then just submit a random answer after. Thanks!

Answers

Answer:You have to take a picture because we can't open the link you your school learning system

Step-by-step explanation:

We can’t see the problem

Noah picks a card at random from a stack that has cards numbered 5 through 20. What is the probability he picks the number 11? SHOW YOUR WORK.

Answers

Answer:

1/15

Step-by-step explanation:

20 - 5 = 15 cards

11 is one out of 15

1/15

Choose the quadrants on a coordinate plane which represent the location of an (x;y) pair satisfying the following equation: |x|+|y|=|x+y|

Answers

Answer:

On any quadrant you choose the points each will always be positive

Step-by-step explanation:

The absolute value of a negative number is positive  and the same goes for a positive number (the absolute value will always be positive) because it is how many numbers it is away from 0. For Example; the absolute value of -4 is +4 because it is 4 numbers away from 0. If |x|+|y| = |x+y| then an example would be |-4| + |3| = |-4+3| it would be 7 because the |-4| is 4 and the |3| is 3 giving you the sum of 7

Hope this helps

Y is directly related to X, and Y is 81 when X is 27.

The constant of variation is .

Answers

Answer:

3

Step-by-step explanation:

81÷3= 27

Therefore the answer is 3. Thats what I did.

the answer is 3. good luck! have a great day

I WILL MARK BRAINLIEST! This is a multiple choice question!

Here is a system of linear equations:


6x-y=18

6x−y=18


4x+2y=26

4x+2y=26


Select all the steps that would help eliminate a variable and enable solving.




Group of answer choices


A. Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equation.


B. Multiply the first equation by 2, then add the result to the second equation.


C. Multiply the first equation by 2, then subtract the second equation from the result.


D. Multiply the second equation by 6, then subtract the result from the first equation.

Answers

*I am assuming that each equation only appears once instead of twice in this problem

6x-y=18

4x+2y=26

We are solving by elimination, and to do that, we need to make the coefficient of one of the variables the same for both equations. The easiest way would be to multiply the top equation by 2 which would result in

12x-2y=36

4x+2y=26

As we see now, -2 and +2 can cancel out if we add the two equations together. So B is correct.

The other solution to this problem is to get a common coefficient for x to do that we first find the least common multiple of 6 and 4 which is 12

so to get 12 we need to multiply equation 1 by 2 and equation 2 by 3

resulting in 12x-2y=36 and 12x+6y=78 which we can solve by subtraction

Although this second way works, we have to realize that this is not one of the solutions. Instead the solution proposed to multiply by 4 and 6 which actually is just what I did above but multiplying everything by 2 again.

In conclusion, the answers should be A and B

Answer:

a b

Step-by-step explanation:

You are having a pizza - making party.
You will need 6 ounces of dough and 4 ounces of sauce for each person ( including yourself, the host ) .
Once you have a total count of guest, you buy exactly the needed amount of all the ingredients . The dough and sauce that you buy weigh 130 ounces all together.
1. How many ounces of dough did you buy?
2. How many ounces of sauce did you buy?
3. Num. Guest 0ω0
Worth 10 points . . .

Answers

Answer:

12 guests(13 including yourself), 78 ounces of dough, and 52 ounces of sauce.

Step-by-step explanation:

So what you want to do is to first add up the dough and the sauce which is 10. then you want to divide 130 by 10 and you get 13(130/10=13) Now we subtract 1 from 13 and that how many guests you have which is 12. now we time 6 by 13 which is 78(6*13=78) so 78 ounces of dough. Now we time 4 by 13 and we get 52(4*13=52) so 52 ounces of sauce. Now to make sure it's right we need to add 78 and 52 together and we get 130(78+52=130) And that's all

Pls give brainliest

12 guest(13 including yourself is correct)

A small measuring spoon holds 5 milliliters. How many spoons would 1 liters of liquid fill? (4 points)
5 spoons
200 spoons
500 spoons
5,000 spoons

Answers

200 spoons because 1000 ml= 1 liter i hope it helped Im sorry if I’m wrong
The answer is b. 200 spoons

The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time in minutes. This table shows the number of pages Printer B can print over time.

How many pages does each printer print per minute, and which printer prints at a faster rate?

Complete with the correct statements.
- Printer A prints 12, 14, 16 or 48 pages per minute.
- Printer B prints 12, 14 16, or 48 pages per minute.
- The printer that prints at a faster rate is Printer A or B.

Printer B
Time (min) Pages Printed
3 48
5 80
8 128
12 192

Answers

Printer A
y = 14x

Printer B
Time(min) | 3 | 5 | 8 | 12 |
Pages printed | 48 | 80 | 128 | 192 |

Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.

The printer that prints at a faster rate is printer B.

A plot of grass behind a building is shown. What is the area of the plot of grass? A is wrong and
a. 265 sq m. This answer is incorrect.
b. 124 sq m
c. 167 sq m. This answer is incorrect.
d. 164 sq m

Answers

Answer:

d.) 164 sq. m

Step-by-step explanation:

I broke down the shape into 3 individual shapes, which created 2 rectangles and a triangle.
I multiplied the length and the height to get the area of each shape.
8 · 16 = 128 sq. m, 8 · 4 = 32 sq. m, and (2 · 4)/2 = 4 sq m.
I added the areas of each shape and got 164 sq. m.
128 sq. m + 32 sq. m + 4 sq. m= 164 sq m
The answer for this question is 164

1. Round 47.38 to the nearest tenth.
2. Round 5.798 to the nearest whole number.
3. Round 18.573 to the nearest hundredth
4. Round 114.892 to the nearest tenth
5. Round 75.006 to the nearest hundredth

Answers

Answer:

1. 47.4

2. 6

3. 18.57

4. 114.9

5. 75.01

NEED HELP OMG WILL GIVE 100 POINTS AND MAYBE BRAINLIEST

Answers

Step-by-step explanation:

A:

No graph has been shown.

B:

1.

d = 2.5(20)

d = 50 meters.

2.

time                   distance H                distance E

0                               45                              0

5                               50                             12.5

15                              60                             37.5

20                             65                             50

40                             85                             100

65 - 50 = 15

15 meters

Look at graph image for the distance represented on the graph.

Please help me!!
What is the relationship between the volume of a cone and a volume of a cylinder?

---------

A. The volume of a cone is 3x larger than the volume of a cylinder.

B. The volume of a cylinder is 3x larger than the volume of a cone.

C. The volume of a cone is 4/3 the volume of a cylinder.

D. The volume of a cylinder is 4/3 the volume of a cone.

Answers

B. Would be the answer and you would have to know this as your volume formula.

Answer:

Step-by-step explanation:

B is correct.  

Cylinder:   V = πr²h            This is 3 times the volume of the                      

Cone:        V (1/3)πr²h                     corresponding cone.

How should this decimal be written as a fraction?



Select the Hint button to view a hint.



8.203 =
----------------

Answers

Answer:

The answer is

8 203/1000

Step-by-step explanation:

(PLS HURRY) Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be perpendicular to path BC?


A. DE

B. CD

C. FG

D. AH

Answers

The answer is simple it’s A. DE

Answer:

The answer is B. CD, and if this was an answer it would also be AB.

Step-by-step explanation:

Perpendicular is the line that it makes a 90 ° angle with, or a right angle.

please help me a lot I need it

Answers

Answer:

original coordinates A[-4,5], B[-3,1], C[-5,2

new coordinates [3,1], B[2,5] C[4,4]

Step-by-step explanation:

ok so the x is the horazontal line and the Y is the vertical line when your writing cooodinates you always write the X first then the Y. so to find the origanal corrdinates which i'm assuming are the coordinates for the blue triangle you have to find the first point so the one labled A, you look at the numbers on X so the horizontal line, and find out which number on that line has point A on it and you record that number this is the X then you look at the   numbers on the Y line, (the vertical line) and see which number has point A on it and record this number this is the Y do this for all the other points and you will have all of their coordinates.

Hope this helps :)

(Coordinate A is -4,5) (Coordinate B is -3,1) (Coordinate C -5,2) and the new coordinations are (A. 3,1) (B. 2,5) (C. 4,4)

PLZ HELP!!!
You _____ should know the difference between addition and subtraction. Which is the best intensive pronoun to use in the blank? a) and I b) yourself c) myself d) really

Answers

Answer:

d really

Step-by-step explanation:

Answer: B: and I

Step-by-step explanation:

Hope it works out!

a cup is 240 mL. what fraction of the cup is 100 mL.

Answers

answer

5/12

Step-by-step explanation:

100/240 simplifies to 5/12

Answer:

5/12

Step-by-step explanation:

100/240

= 10/24

= 5/12

You are having a pizza - making party.
You will need 6 ounces of dough and 4 ounces of sauce for each person ( including yourself, the host ) .
Once you have a total count of guest, you buy exactly the needed amount of all the ingredients . The dough and sauce that you buy weigh 130 ounces all together.
1. How many ounces of dough did you buy?
2. How many ounces of sauce did you buy?
3. Num. Guest 0ω0
Worth 10 points . . .

Answers

Answer:

13 guests, 72 ounces of dough, 58 ounces of sauce

Step-by-step explanation:

6 ounces of dough plus 4 ounces of sauce is 10 ounces so 130 divided by 10 is how you get your guests. Then multiply both 6 and 4 by 13 to get the ounces of both dough and sauce

i’m here for pointsssssss hi

Pierre received a parking ticket with an original fee of $22.00. Each month that he failed to make payment, fees of $7.00 were added. By the time he paid the ticket, his bill was $36.00. What was the ratio of fees to the cost of the ticket?

Answers

Answer:

7:11

Step-by-step explanation:

7 for the dollars and 11 for each month because the first month, he doesn't get a $7 fee

Evaluate 2x + 6y when x = -4/5 and y= 1/3

Answers

= 2 * (-4/5) + 6 * 1/3

= - 8/5 + 2

= - 8/5 + 10/5

= 2/5

= 0,4

* = multiply

Answer:

[tex]\frac{2}{5}\\[/tex]

Step-by-step explanation:

[tex]2x + 6y[/tex]

[tex]2(-\frac{4}{5}) + 6(\frac{1}{3}) \\\\\frac{2}{1} (-\frac{4}{5}) + \frac{6}{1} (\frac{1}{3})\\\\-\frac{8}{5}+ \frac{6}{3}\\\\-\frac{24}{15}+ \frac{30}{10}\\\\\frac{6}{15}\\\\\frac{2}{5}[/tex]

Hope this helps!

could someone help me please?

Answers

Answer:

To me its to me fuzzy can you bring it closer

Step-by-step explanation:

What could be a negative effect of a contaminant entering a water system?

1. The contaminant is trapped in the soil or filtered naturally by percolating through the layers of the soil.

2. More plants grow and compete with other plants for water.

3. Small fish die and a ripple effect cause others to die in the food web.

4. Animals are not affected by the contaminant and live as they always do.

Answers

Answer: 3

Step-by-step explanation:

Dirty water can cause death and lead to diseases.

Can someone help me if they really know the answer pls!!

Answers

I’d say it’s around 405.58
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