1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rodikova [14]
3 years ago
5

Given an exponential function for compounding interest, A(x) = P(1.02)x, what is the rate of change?

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0
A(x) = P(1.02)^x
A(x) = P(1 + 0.02)^x
A(x) = P(1 + r)^x

Therefore rate of change = 0.02 = 2%
You might be interested in
If a has to be greater than or equal to 1 and less than 10, what does a equal?
kirill115 [55]

Answer:

i think the answer is 5

Step-by-step explanation:

if it greater than or equal to its 1 or higher but, its not 10 because it has to be less than 10 5 falls right in the middle of greater that or equal to 1 but less than 10

3 0
3 years ago
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
dedylja [7]

Answers:

  • 10
  • decrease
  • increase
  • does
  • incorrect

So it would look like this:

The MAD of the data in the table is <u>  10  </u>.If the additional drawings are Amy's, the MAD of the date set will <u>  decrease  </u>.If they are Emily's, the MAD will <u>  increase  </u>.The MAD of the new data set <u>  does  </u> depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is <u>  incorrect  </u>.

==========================================================

Explanation:

The MAD will have us find the mean first, which I'll call xbar

To find xbar, we add up the values and then divide by n which is the number of items in the set.

xbar = (sum of items)/n

xbar = (6+34+35+37+43)/5

xbar = 155/5

xbar = 31

Then we'll subtract this xbar from from each x value of the data set. Use absolute value bars to make sure the result isn't negative. This forms the third column in each table shown below. The value in yellow is the average of the stuff in the third column (ignoring the yellow value itself of course). So that's how we get a MAD of 10 for the original data set.

--------------------

When we consider case 1, which is where Amy made those 25 additional drawings, then her count goes from 6 to 6+25 = 31. We repeat the steps earlier and we get a MAD of 3.2, which is a decrease from 10 earlier.

Why is this? Well notice how Amy's count, before those 25 extra drawings were done, was far lower than the rest of the class. Her being an outlier will make the MAD fairly big. The larger the MAD, the more spread out the data is. If you condense the data set, then the MAD shrinks.

-----------------------

Now onto case 2. We'll reset Amy's count back to 6 and instead add 25 to Emily's count to go from 43 to 43+25 = 68

This will increase the MAD because we're effectively spreading the data out more (since Emily's value is becoming more of an outlier). The same steps to compute the MAD will be done as earlier. This time we get 13.2 as the MAD.

-----------------------

Referring back to the previous 2 sections, we can see that the MAD of the new set will depend on whether Amy or Emily submitted those 25 extra drawings. Therefore, Greg is incorrect in thinking that the MAD will stay the same.

The only time the MAD stays the same is if we can keep the spread of the data the exact same. That would mean we have to add the same number to each person to keep things balance. Think of it like a see-saw. If we add something to one side, then we have to do the same thing to the other side; otherwise, things will change.

8 0
2 years ago
Read 2 more answers
 Find the sum ​(33x+99​)+​(minus−44x+88​)
lorasvet [3.4K]
​(33x+99​)+​1(−44x+88​)
​(33x+99​)(44x+88​)
-33x to 44x and get 11x then subtract 88 to 99 and get 11 the answer should be one
6 0
3 years ago
Three Texas drovers met on a highway and began to dicker as follows:
Alik [6]

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0
2 years ago
An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?
marusya05 [52]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Can anyone help me answer this
    15·1 answer
  • A rock is thrown upward from a bridge that is 43 feet above a road. The rock reaches its maximum height above the road 0.91 seco
    12·1 answer
  • One week, Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gas
    11·2 answers
  • What's the half of 93
    8·2 answers
  • Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right
    8·1 answer
  • I need to find the square unit of the triangle
    8·2 answers
  • Find the missing side and round the answer to the nearest tenth.
    7·1 answer
  • Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
    14·1 answer
  • An exponential model shows the growth of a towns population in years. Identify the parts:
    7·1 answer
  • Help me please, evaluate the expressions below if (a=8), (b=-2) and (c=-9).
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!