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Lesechka [4]
3 years ago
7

Please Help 15 points! Emergency!

Mathematics
2 answers:
Semenov [28]3 years ago
6 0
AA - f(t)=8000(1.5)^t
Reptile [31]3 years ago
4 0

9514 1404 393

Answer:

  a)  f(t) = 8000(1.015^t)

Step-by-step explanation:

The growth factor is 1 more than the growth rate. Here, the growth rate is 1.5%, so the growth factor is 1 + 0.015 = 1.015. This is the base of the exponential term. Each year that passes causes the balance to be multiplied by this factor, so the exponent is the number of passing years.

  f(t) = 8000(1.015^t)

You might be interested in
18/13=3/4x<br> what does x equal?
sveta [45]

Answer:

x = 24/13

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

18/13 = 3/4x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 3/4:          x = 24/13

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    18/13 = 3/4(24/13)
  2. Multiply:                        18/13 = 18/13
5 0
2 years ago
The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people ar
Serjik [45]
I’m not *completely* sure if this would be right, but it could possibly be:
160
how i got this:
20 = 150
/(divide) 150
0.13(recurring) = 1
x1200
160 = 1200

if you need me to explain anything in detail, please feel free to message! have a nice day:)<3
6 0
3 years ago
In the triangle below, what is the tangent of 45°?
Lana71 [14]

Answer:

C

Step-by-step explanation:

tan45° = \frac{opposite}{adjacent} = \frac{1}{1} = 1

6 0
3 years ago
Read 2 more answers
What is the value of x in x2-3x=28
charle [14.2K]

Answer:

x=-28

Step-by-step explanation:

2x-3x=-1x so if -1x=28 divide both sides by -1 so x= -28

5 0
3 years ago
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys
Luba_88 [7]

Answer:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the time for this event of a population, and for this case we know the distribution for X is given by:

X \sim N(470,60)  

Where \mu=470 and \sigma=60

NOTE: For this case the fastest 10% is on the lower tail of the distribution

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.9   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would  earn a certificate of recognition from the fitness association

4 0
3 years ago
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