Ask question

Ask question

All categories

8 days ago

5

Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the

exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.

2 answers:

AnnZ [12.3K]8 days ago

7 0

The graph indicates 200. And the downward factor

Leona [12.6K]8 days ago

3 0

Answer:

First, it's essential to define the equation that characterizes the function.

The investment is $200 with an interest rate of 5%, where y represents the money after x periods.

After one period, the amount of money grows to 200 plus 5% interest, resulting in 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After two periods, the total is 200(1.05)*(1.05) = 200 (1.05)^2

After three periods, it will be 200 (1.05)^3

Consequently, it can be inferred that after x periods, y = 200 (1.05)^x

Next, this function can be analyzed to project the graph's shape and significant points.

The answers derive from the initial value and the growth factor.

The initial value occurs when x = 0, giving y = 200 (1.05)^0 = 200*1 = 200

The growth factor is 1.05, indicating each subsequent value is multiplied by 1.05.

Step-by-step explanation:

You might be interested in

To investigate whether or not sexism was present in the workplace, 48 male bank supervisors were each given a personnel file and

AnnZ [12381]

There is clear favoritism present. However, it is crucial to examine not just how many women were promoted in comparison to men but also the rate of promotion within each group. In the case of men, 21 out of 24 received promotions, indicating a substantial rate of 87.5%. In contrast, for women, only 14 out of 24 were promoted, which is 58.3%, just over half. Therefore, we can conclude that there is a distinct bias favoring male employees.

6 0

14 days ago

The table represents the equation y = 2 – 4x. A 2-column table with 5 rows. The first column is labeled x with entries negative

tester [12383]

The missing value associated with $x=-1$ is $y=6$

Explanation:

The provided equation for the table is $y=2-4x$

This table consists of 2 columns and 5 rows.

<pconsequently it="" states="">

x y

-2 10

-1 ---

0 2

1 -2

2 -6

To find the value for y when $x=-1$

The value of y can be ascertained by substituting $x=-1$ into the equation $y=2-4x$

<pthus we="" determine="">

$y=2-4(-1)$

<pmultiplying the="" term="" within="" brackets="" yields="">

$y=2+4$

<psumming the="" terms="" we="" find="">

$y=6$

<pso the="">value of y when $x=-1$ is 6.

Hence, the value for $x=-1$ is $y=6$

</pso></psumming></pmultiplying></pthus></pconsequently>

7 0

1 month ago

Read 2 more answers

Write the number 0.21212121.. as a fraction let x=

AnnZ [12381]

To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.

Let’s denote the repeating decimal as x.

Thus, you can write

x = 0.212121...

Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:

100x = 21.212121...
x = 0.212121...

Next, set up a subtraction by taking the second equation from the first:

100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21

Solving for x involves dividing both sides by 3:

33x = 7

Then, divide both sides by 33:

x = 7/33

Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.

Answer: the fraction is 7/33

7 0

1 month ago

Draw and sketch two non congruent triangles each with side 6cm and an angle measuring 40

lawyer [12517]

Refer to the image below.

6 0

19 days ago

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data in

lawyer [12517]

I believe the answer would be C, based on your previous statements.

6 0

20 days ago

Read 2 more answers