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monitta
3 years ago
13

Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 8(1 – 0.15). Evaluate the f

unction
when t = 3. Round your answer to the nearest tenth.
Mathematics
2 answers:
Musya8 [376]3 years ago
7 0

Answer:

Initial amount = 8

Decay rate = 15%

Step-by-step explanation:

Given the exponential function :

y = 8(1 – 0.15)

The general form of an exponential Decay function is :

A = P(1 - r)^t

Where

A = final amout ; P = initial amount ; r = days cay rate ; t = time

Hence, comparing with the equation given :

P = 8 = initial amount

r = 0.15 = 0.15 * 100% = 15% = Decay rate

Tasya [4]3 years ago
4 0

Answer:

Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y=8(1−0.15)t. Evaluate the function when t=3. Round your answer to the nearest tenth.

a=

r=

%

Step-by-step explanation:

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If I have 5 pink bows one blue four purple what’s the probability I’ll choose a purple
max2010maxim [7]

Answer:

40%

Step-by-step explanation:

7 0
3 years ago
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Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 5, x + z = 0
oee [108]

The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

  • The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
  • Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

Learn more about parametric equations

brainly.com/question/12718642

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4 0
1 year ago
Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles p
kramer
Let, the time when <span>Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!</span>
7 0
4 years ago
In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i
lora16 [44]

Answer:

40%

Step-by-step explanation:

From the given statements:

The probability that it rains on Saturday is 25%.

P(Sunday)=25%=0.25

Given that it rains on Saturday, the probability that it rains on Sunday is 50%.

P(Sunday|Saturday)=50%=0.5

Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes Theorem for conditional probability:

P(Saturday|Sunday)=\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}

=\frac{0.5*0.25}{0.5*0.25+0.25*0.75}

=0.4

There is a 40% probability that it rained on Saturday given that it rains on Sunday.

5 0
3 years ago
If the area of rectangle is 96 CM if breadth is 8 then find length​
boyakko [2]

Answer:

Step-by-step explanation:

Rectangle area formula is : Width* Length = Area

So:

8cm*L = 96cm

L = 96cm/8cm

L = 12cm

8 0
3 years ago
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