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Natalka [10]
3 years ago
6

Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Ty

pe your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

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Answer:

The amount Tobie invests in a bank, P = $25

The annual compound interest rate, i = 4%

a. The principal is amount invested in the bank, P = $25

The annual interest rate, i = 4%

b. The function that represents Tobie's account balance, <em>A</em>, after <em>t</em> years is given as follows;

A(t) = P \cdot (1 + i)^t

Where;

A(t) = The amount in the account after <em>t</em> years

P = The principal amount

i = The annual compound interest rate

t = The number of years

c. The values to place in the table are found as follows;

At t = 0, A(0) = 25 \times(1 + 0.04)^0  = 25

At t = 10, A(10) = 25 \times(1 + 0.04)^{10} = 37

The given table is presented as follows;

\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}

Step-by-step explanation:

4 0
3 years ago
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that
seropon [69]

Based on the sample response given, the statements included in the explanation on the horizontal line test are:

  • a reference to the horizontal-line test.
  • a statement that the function is one-to-one.
  • inverse is a function.

<h3>What is the horizontal-line test?</h3>

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

Find out more on the horizontal line test at brainly.com/question/11471811

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4 0
1 year ago
An angle measures 125 degrees. Through what fraction of a circle does the angle turn?
Bingel [31]
I think 50 out of 30 degrees
5 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP!!
Black_prince [1.1K]

Answer:

It is right

Step-by-step explanation:

square all sides

we have 16, 32, 48

add the two shortest sides, which equal the third side

the triangle works with the pythagorean theorem, so of course it is right :)

7 0
2 years ago
In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.
Crazy boy [7]

Answer:

O is in between m and p so it is 6

Step-by-step explanation:

In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.

6 0
2 years ago
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