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Solnce55 [7]
3 years ago
5

Which is an exponential decay function?

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Decay functions hav exponential terms that are one of

... (number greater than 1)^(negative exponent)

or

... (number less than 1)^(positive exponent)

The choice that meets these requirements is

... f(x) = 3/2 (8/7)^-x

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What principal amount would yield an interest of $36 in 3 years at 3%?<br> P=
luda_lava [24]

Answer: Let principle sum be x

Time = 3 years

Rate = 3% per annul

SI = $36

SI =  \frac{P*R*T}{100}  

36 =  \frac{x*3*3}{100}  

x = 36* \frac{100}{9}  

x = 400

So the sum that would yield interest of $36 is $400

Step-by-step explanation:

4 0
3 years ago
A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-­‐
cricket20 [7]

Answer:

<u>The final curse load of the local gym instructor is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-­‐impact aerobics, 64 wanted low-­‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-­‐impact aerobics = 8/14.25 = 0.5614

Low-­‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-­‐impact aerobics = 0

Low-­‐impact aerobics =  4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-­‐impact aerobics with .5614.

<u>The final course load is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

7 0
3 years ago
Which expression is equivalent to<br> 128x8,329 ? Assume y20 and 720
kaheart [24]

Answer:767600640

Step-by-step explanation: If 720 equals x, you multiply 128 by 720, and multiply the answer by 8,329.

8 0
3 years ago
Write an equation for the graph below.
vampirchik [111]

Answer:

f(x)= 3({2})^{x} - 3

Step-by-step explanation:

Let the equation be of the form

f(x)= a {b}^{x}  + k

be the equation, where k=-3 is the horizontal asymptote.

The equation now becomes:

f(x)= a {b}^{x}   - 3The curve passes through (0,0)

0= a {b}^{0}   - 3

0 = a - 3

a=3

This implies that:

f(x)= 3{b}^{x}   - 3

We again substitute (1,3)

3=3{b}^{1}  - 3

3b = 6

b = 2

The required equation is

f(x)= 3({2})^{x} - 3

3 0
4 years ago
Can anyone help with this? Thank you
diamong [38]
The last choice is not supported by the data.
3 0
3 years ago
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