What is the decay factor in the exponential decay function y=a (1-r) t

What Is The Decay Factor In The Exponential Decay Function Y=a (1-r) T

Answers

Answer 1

Answer:

in this form, the "-r" would cause the result to decrease

I assume that the answer is "r"

if r = .1 (10 %) then 1-.1 = .9

if you have 100 items then y = 100(.9)^1 = 90

the total decreased by 10% ... y = 100(.9)^2 after 2 time periods

Step-by-step explanation:


Related Questions

In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.​

Answers

Answer:

Step-by-step explanation:

We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to

180 - B - C. Therefore,

angle A = 180 - 11 - 75 so

angle A = 94. And the Law of Sines is

[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get

600sin94 = asin11 and solve for a:

[tex]a=\frac{600sin94}{sin11}[/tex] gives you that

a = 3136.85

1. (x^3 - 9 x^2 + 26 x - 24) ÷ (x - 4)

2. (6 x^3 + x^2 - 26 x - 21) ÷ (3x - 7)

3. 2 x^4 - x^3 + 10 x^2 + 8 x - 6) ÷ (x^2 - x + 6)

Answers

Answer:

1. = x^2 -5x+6

Step-by-step explanation:

2. = 2x^2 +5x+3

3. =2x^2 +(x-1) +((x)/x^2 -x+6)

Which conversion factor would you use to convert from meters to feet?

Answers

Answer:

To convert a meter measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the meters multiplied by 3.28084.

Step-by-step explanation:

pls ans this
its urgent

Answers

It’s A I think but I’ll check again

Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?

Answers

Answer: 7.142857142857143

Step-by-step explanation: all you have to do is divide 28.5 by 3.99

The cost per ounce of shampoo is 7.15 ounce.

Assume that the cost per ounce of shampoo is ${x}.

Total cost of bottle of a dog shampoo is $3.99.

Amount of shampoo in the bottle is 28.5 ounces.

So, we can write the cost per ounce of shampoo as

x = 28.5/3.99

x = 7.15 ounce

The cost per ounce of shampoo is 7.15 ounce.

To solve more questions on division, visit the link below-

https://brainly.com/question/15381501

#SPJ2

\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}

Answers

Answer:

[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]

Expand

[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]

This gives the simplified form

7. From eye level 5 feet off the ground, a person has to look up at an angle of 35
degrees to see the top of a tree 60 feet away. How tall is the tree.​

Answers

Answer:

47.01 ft

Step-by-step explanation:

answer in photo above

ONE reason why people loan money from banks.​

Answers

to consolidate their debt.

Answer:

to use the money when in an emergency

(1.3) Sequence A: 4; 7; 10; 13; 16; Sequence B: 5; 10; 20; 40; 80; .......... Sequence C: 2; 5; 10; 17; 26; (1.3.1) Write down the next three numbers in each of given sequences. (3) Sequence A Sequence B: Sequence C: (1.3.2) Write down how you decided what the next number would be in each of the three sequences. (3) Sequence A: Sequence B: Sequence C ​

Answers

Answer with Step-by -step explanation:

Sequence A;4,7,10,13,16

[tex]a_2-a_1=7-4=3[/tex]

[tex]a_3-a_2=10-7=3[/tex]

The difference between two consecutive terms is equal. Therefore, it forms arithmetic sequence.

Common difference, d=3

a=4

[tex]a_n=a+(n-1)d[/tex]

[tex]a_6=a+5d=4+5\times 3=19[/tex]

[tex]a_7=a+6d=4+6(3)=22[/tex]

[tex]a_8=a+7d=4+7(3)=25[/tex]

Sequence B: 5,10,20,40,80,...

[tex]a_1=5,a_2=10,a_3=20[/tex]

[tex]\frac{a_2}{a_1}=\frac{10}{2}=2[/tex]

[tex]\frac{a_3}{a_2}=\frac{20}{10}=2[/tex]

The ratio  of two consecutive terms is equal. Therefore, it forms geometric sequence.

Common ratio, r=2

a=5

[tex]a_n=a r^{n-1}[/tex]

[tex]a_6=ar^5=5(2)^5=160[/tex]

[tex]a_7=ar^6=5(2^6)=320[/tex]

[tex]a_8=ar^7=5(2^7)=640[/tex]

Sequence C:2,5,10,17,26,..

a1=2

[tex]a_2=5=2+3=a_1+3[/tex]

[tex]a_3=10=5+5=a_2+5[/tex]

[tex]a_4=17=10+7=a_3+7[/tex]

[tex]a_5=26=17+9=a_4+9[/tex]

From the following pattern

We can get

[tex]a_6=a_5+11=26+11=37[/tex]

[tex]a_7=a_6+13=37+13=50[/tex]

[tex]a_8=a_7+15=50+15=65[/tex]

Please help I wanna pass

Answers

Answer:

Everything is correct except for the second one and the ones you checkmarked.

Step-by-step explanation:

When 345 is multiplied by a power of 10 the number of zeros in the product is related to the power of 10. Explain how the number of zeros relates to the power of 10.

Answers

Answer:

The Number of Zeroes In The Results is Always equal To the Powers of 10.

Step-by-step explanation:

Example:-

345*[tex]10^{2}[/tex] = 34500

345*[tex]10^{5}[/tex] = 34500000

345*[tex]10^{7}[/tex] = 3450000000

345*[tex]10^{8}[/tex] = 34500000000

(In the Above examples, There is All The Numbers of Zeroes In The Results is equal To the Powers of 10)

What's the domain of the graph?

Answers

Step-by-step explanation:

In interval form, the domain of f is (−∞,∞).

Line x line y find the measures of angle 4

Answers

Answer: The measure of angle 4 is 95 degrees.

Step-by-step explanation:

Knowing that the lines are parallel that means the alternate exterior angles are congruent. The alternate exterior angle of the angle marked with 95 degrees is angle 1. That means angle one is 95 degrees. Angle 1 and Angle 4 are vertical angles. All vertical angles are congruent so this mean angle 4 is also 95 degrees.

is 15 over -4 negative

Answers

Answer:

15 is larger than -4

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

15 ÷ (-4) = -3.75

Financial software can do all of the following except ____.


A.
prepare your taxes


B.
apply for loans


C.
keep track of expenses


D.
monitor your savings

Answers

Answer: Apply for loans

Step-by-step explanation:

I just took the quiz off gradpoint :) trust me its right!!!!

What is the angle measure ?

Answers

Answer:

140 degrees

Step-by-step explanation:

URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.

Answers

In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

[tex] \large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}[/tex]

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

[tex] \large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }[/tex]

Since tan is negative in the second quadrant. Hence,

[tex] \large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}[/tex]

Answer

tan = -√5/2

1. Solve for x.
55°
(3r + 23)
75°

Answers

Answer:

The value of x is 9.

Step-by-step explanation:

55°

(3 x + 23)

75°

The sum of all the angles of triangle is 180°.

55 + 3 x + 23 + 75 = 180

3 x = 27

x = 9

So, the value of x is 9.

The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.

Answers

Answer:

First Term = 6

Common Ratio = 3

Step-by-step explanation:

According to the Question,

Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .

Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .

The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .

Now, on solving  [tex]\frac{S_{8} }{S_{4} }[/tex]  we get,

[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]  

[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]

[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )

So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .

What is the value of the 9 in the number 0.09432​

Answers

Answer:

hundredths

Step-by-step explanation:

Numbers after the decimal start with

tenth

hundredth

A rectangle measures 15 cm by 10 cm is given, if the length of side is
increased by 20%, find the increase of area in percentage.​

Answers

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} + \frac{1}{6} + \frac{1}{6} =\frac{1}{2}[/tex]

Which equation represents a line that passes through the two points in The table

Answers

Answer:

y = mx + by= mx+ b

Step-by-step explanation:

since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b

classify the expression by both degree and terms 2x4 - x +5

Answers

Answer:

x=3

Step-by-step explanation:

1. Which two points fail the VLT here in this graph?


PLEASE HELP!!!!

Answers

Kiki and Rose's points

They are on the same vertical line so they fail

30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.

Answers

Answer:

CNBD

Step-by-step explanation:

From the diagram, we can see that:

[tex]\displaystyle BL\parallel CA[/tex]

Then by Alternate Interior Angles:

[tex]\angle LBA\cong \angle CAB\text{ and } \angle BLC\cong \angle ACL[/tex]

From vertical angles, we also know that:

[tex]\displaystyle \angle BKL\cong \angle AKC[/tex]

This is all we can gather from the given image. Knowing only three pairs of angles cannot prove congruence, as proving congruence requires at least one side.

Congruence cannot be determined.

Answer:

Cannot be determined

Step-by-step explanation:

With BL and AC being parallel, we can deduce that the two triangles in question share all three of their angles. However, there is no information given that implies any of the sides are equal. AAA (Angle-Angle-Angle) is a proof of similarity, but not congruence, therefore the two triangles cannot be determined to be congruent.

Seventh Grade Students
Instrument # of Students
Guitar 12
Bass 10
Drums 9
Keyboard 12
Eighth Grade Students
Instrument # of Students
Guitar 5
Bass 6
Drums 15
Keyboard 5

Based on these results, express the probability that a seventh grader chosen at random will play the drums as a fraction in simplest form.

Answers

Answer:

3/11

Step-by-step explanation:

FORMULA= P(A)=

NUMBER OF FAVORABLE OUTCOMES

-------------------------------------------------------------

NUMBER OF POSSIBLE OUTCOMES

GIVEN: 12 Guitars, 10 Bass, 9 Drums, 12 Keyboards

WANT: The probality a seventh grader chosen at randome will play drums

add all the instruments

12+10+9+12=33

there are 9 drums

FOLLOW THE FORMULA

9 3

---- = ---- SIMPLIFIES FORM

33 11

please give answer of 6 number​

Answers

Answer:

[tex]7,500[/tex]

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be [tex]x[/tex].

We have the following proportion:

[tex]\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000[/tex]

Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be [tex]y[/tex].

We have:

[tex]\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}[/tex]

Therefore, there were 7,500 books in 2013.

Answer:

7,500 books

Step-by-step explanation:

the question is on the image​

Answers

Answer:

70

Step-by-step explanation:

the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.

Answer:

70 tickets sold

Step-by-step explanation:

Multiply the number of tickets by the fraction of tickets sold

100 *7/10

Rewriting

100/10 * 7

10*7

70

can you help me do this Q I can't seem to get it :)

Answers

9514 1404 393

Answer:

x = 3∠IEH = 61°∠IHE = 35°

Step-by-step explanation:

There are a couple of useful facts about parallelograms that can be used here.

1) The diagonals bisect each other.

2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.

__

The two marked sections of diagonal GIE are congruent, so you have ...

  3x +1 = 10

  3x = 9 . . . . subtract 1

  x = 3 . . . . . divide by 3

__

Angles IEH and IGF are "alternate interior" angles, so are congruent.

  angle IEH = 61°

__

Angles IHE and IFG are "alternate interior" angles, so are congruent.

  angle IHE = 35°

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