Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week

Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t

Answers

Answer 1
B) f(t) = 70 x 1.43^t

Related Questions

The price of a pack of steaks increased from $15 to $21. By what percentage did the price of the pack of steaks increase?

Answers

Step-by-step explanation:

21 - 15 = 6$

you have to find how many percent is 6$ in 15$

6 ÷ 15 = 0.4

15 × 0.4 (40/100)

= 6

40 percent

Perform the indicated operation.

Answers

Answer:

[tex] g(3) - h(3) = -16 [/tex]

Step-by-step explanation:

Given:

[tex] g(x) = 2x - 5 [/tex]

[tex] h(x) = 4x + 5 [/tex]

Required:

[tex] g(3) - h(3) [/tex]

SOLUTION:

Substitute x = 3 into [tex] g(x) = 2x - 5 [/tex]

[tex] g(3) = 2(3) - 5 [/tex]

[tex] g(3) = 6 - 5 [/tex]

[tex] g(3) = 1 [/tex]

Substitute x = 3 into [tex] h(x) = 4x + 5 [/tex]

[tex] h(3) = 4(3) + 5 [/tex]

[tex] h(3) = 12 + 5 [/tex]

[tex] h(3) = 17 [/tex]

Therefore:

[tex] g(3) - h(3) = 1 - 17 = -16 [/tex]

Last year, 450 people attended the Booster Club Breakfast. This year the number of people attending increased by 6%. Find the number of people who attended the breakfast this year.

Answers

Answer:

I'm pretty sure it's 477

Step-by-step explanation:

Pls help for Algebra 11b = 143

Answers

Answer:

b = 13

Step-by-step explanation:

Divide 143 by 11

So you need to move the number from left side to right side and device
B=143/11
=13

HELP FAST. I NEED THIS ANSWER FAST

Answers

Answer:

abunda la caca

( its 10m*9y)

Step-by-step explanation:

Answer:

First find the cubes and squares of the 1st and 2nd expression.

1st expression ⇒ [tex](-\frac{2}{3} x^2y)^3 = -\frac{8}{27}x^6y^3[/tex]

2nd expression ⇒ [tex](-\frac{3}{4}xy^2)^2 = -\frac{9}{16}xy^4[/tex]

Now you all you need to do is multiply the 1st expression to 2nd expression.

[tex]-\frac{8}{27}x^6y^3*-\frac{9}{16}xy^4\\\\= \frac{72}{432} x^7y^7[/tex]

Find the Sum:
(20 - 6) + 3(c + 8)

Answers

Answer:

38 + 3c

Step-by-step explanation:

Apply the distributed property: (20 - 6) + 3c + 2420 - 6 = 14Plug 14 in: 14 + 3c + 24Combine like terms: 38 + 3c

I hope this helps!

In the accompanying diagram, line a intersects line b.

Answers

Answer:

C. 10

Step-by-step explanation:

[tex] (x + 5) = (2x - 5) [/tex] (vertical angles are congruent)

[tex] x + 5 = 2x - 5 [/tex]

Add 5 to both sides

[tex] x + 5 + 5 = 2x [/tex]

[tex] x + 10 = 2x [/tex]

Subtract x from both sides

[tex] 10 = 2x - x [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

Use the figure to find the measures of the numbered angles.

Answers

Answer: 5=49, 6= 131

Step-by-step explanation:

0.079times what equals 7.9

Answers

Answer:

100

Step-by-step explanation:

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones

Answers

Answer:

The value is  [tex]n =271[/tex]  

Step-by-step explanation:

From the question we are told that

  The margin of error is  [tex]E = 5\% = 0.05[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of  of customers who click on ads on their smartphones

Generally the sample size is mathematically represented as

      [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>    [tex]n =271[/tex]    

Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

90% confidence level, hence the critical value is z = 1.645.No prior estimate, hence p = 0.5.Within five percentage points, hence M = 0.05.

Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]

[tex]\sqrt{n} = [10(1.645)][/tex]

[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]

[tex]n = 270.6[/tex]

Rounding up, 271 customers should be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

The zeroes of the function are:
A) -2 and 0
B) 0 and 4
C) -2, 0, and 4

Answers

It would be C because they are the ones that función in , I think not sure

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
O $1.26
O $5.40
O $19.26
O $30.60

Answers

Answer:

1

Step-by-step explanation:

1.26

19.26. Do not forget to add your backpacks cost to the tax. You can take 18 dollars times 1.07 to get the tax and add the tax to the 18. Hope that helps!

17. The hourly temperature at Portland, Oregon, on a particular day is recorded below.

1 A.M. 2 3 4 5 6 7 8 9 10 11 12 Noon
46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69°
1 P.M. 2 3 4 5 6 7 8 9 10 11 12 Midnight
72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48°

a. Find the amplitude of a sinusoidal function that models this temperature variation.
b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?

Answers

Answer:

a. Amplitude: 19.65446

b. Vertical Shift: 58.00713

c. Period: 2/0.22797 = 27.56146

d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713

e. Model's Temperature at 10 A.M.: f(-7) = 61.91

   This value is 9.91 degrees higher than the actual value.

Step-by-step explanation:

With 1 am being timed as t = 1, we fitted the temperature data collected at different points during the day in Portland, Oregon using sine regression. After receiving the sine function, we respond to the many questions connected to the sine function's properties.

What is sinusoidal Function?

A smooth, repeating oscillation characterizes a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that may be described by sinusoidal functions.

Given, The hourly temperature at Portland, Oregon, on a particular day is recorded.

Using sine regression on the given data with t = 1 being the hour 1 am etc, we get the following sine regression formula using the TI-83 Graphing Calculator where T is the temperature:

T = a sin(bt + c) + d

Where a = 19.65, b = 0.28, c = -2.93, d = 58.01

From the sine regression function above:

a. The amplitude of the sinusoidal function is a = 19.65.

b. The vertical shift is d = 58.01.

c. The period is 2*pi /b = 2*pi/ 0.28 = 22.44

d. At 5 PM, the time value is t = 17. Hence the temperature distribution with 5 PM being t = 0 will be

t = asin[b(t - 17) + c] +d.

e. From the table, at 10 AM, the actual value of the temperature is 52 degrees.

Using the model in part a., at 10 AM, with t = 10, the temperature will be

T = a sin(10b + c) + d

T = 55.46 degrees

Learn more about sinusoidal functions here:c. The period is

https://brainly.com/question/12060967

#SPJ2

Complete question:

Find the next number in the pattern given below

-10, -2, 6, ____

Answers

-10 +8 = -2
-2 + 8 =6
6 + 8 = 14
answer is 14

Factor out the coefficient of the variable term. The expression 1/7a + 1/7 factored is___

Answers

Answer:

17 and [a+1] is the factor

Step-by-step explanation:

Given:

1/7a + 1/7

Find:

Factor

Computation:

1/7a + 1/7

By taking 1/7 as a common

1/7[a+1]

So,

17 and [a+1] is the factor

The coefficient of the variable term in factored form is; 1

The given expression is;

(1/7)a + 1/7

Now, we want to factorize this and this means that we will bring out the common factor of both terms.

The common factor of both terms is 1/7. Thus, we have;

(1/7)(a + 1)

The variable term is a and as such we see that it's coefficient inside the bracket is 1.

Read more at; https://brainly.com/question/2764126

What do you think about raising the minimum wage? What do you think would be some negative outcomes of raising the minimum wage? What are some positive outcomes of raising the minimum wage

Answers

We shouldn’t raise minimum wage, the reason for this being that when everyone makes more money prices on everything rise as well. So a negative effect could be prices increase and a positive effect could be something like people are now legally obliged to pay their workers more meaning you make more money.

A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control

Answers

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

Jecimals
r the course of 6 days, Tonda ran 17.22 miles. She ran the same
Clear
Undo
Redo

Answers

Answer:

potatoes

Step-by-step explanation:

PLEASE QUICK BRAINLISET

Answers

Answer: the answer is f

Answer:

F

Step-by-step explanation:

the measure of angle one must be equal to the measure of angle five and when doing the math I got x=34 plug that into the equation for angle five i got 48 and the same for plugging it into the equation for angle one.

Explain why having low statistical power could be considered a limitation for a statistical tost

Answers

Answer:

Low statistical power could be considered a limitation in statistics because statistical power refers to the probability of correctly finding adequate support for a research hypothesis.

If a statistical test has low power, then it is limited in finding adequate support.

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Answers

Answer:

18

Step-by-step explanation:

The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's  not possible) .

0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.

Answer 18

Answer:

18

Step-by-step explanation:

Can you help me solve this

Answers

Answer:

A number that is 10x greater than 0.03 is 0.3.

Step-by-step explanation:

Answer:

The answer is c have a nice day


Dewayne has $20 dollars for the weekend. He spent 3/5 of his money at the movies and 1/3 of his money bowling. How
much money does he have left over after the weekend?

Answers

3/5 of $20 = $12
1/3 if $20 = $6.67

Add those up

$12 + $ 6.67 = $18.67

Now subtract from $20

$20 - $18.67 = $1.33

Hope this helped :)
3/5 of 20 is 12
1/3 of 20 is 6.67
Add them
You get 18.67
20-18.67= 2.33
You have 2.33 left over

(01.02 MC)Which number line shows the solution to −6 − (−2)?


A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown.

A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 8 is shown.

A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 4 is shown.

Answers

Given:

The expression is

[tex]-6-(-2)[/tex]

To find:

The solution of given expression on the number line.

Solution:

We have,

[tex]-6-(-2)=-6+2[/tex]

[tex]-6-(-2)=-4[/tex]

So, the solution is -4.

Start from point 0, then use arrow to jump on -6 then use another arrow to jump 2 units right, as (-)(-)=(+) and positive sign means jump towards positive direction.

On the number line,

1. An arrow pointing from 0 to negative 6.

2. Another arrow pointing from negative 6 to negative 4.

Therefore, the correct option is A.

Answer:

what he say yeah

Step-by-step explanation:

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which the diameter increases when the diameter is 15cm

Answers

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

What is the y intercept of the line graphed on the grid? (-6, -8) (2,-2)

Answers

Did this today on a test lol.

(0,-7/2)

Help me- 3.4 + 12a / 4 for a = 10

Answers

-3.4 + 12 (10)/4
-3.4 + 12x10 /4
-3.4 + 120/4
-3.4 + 30 = 26.6

please i’ll give you brainly thingy

Answers

Answer:

it would be 12

Step-by-step explanation:

divided 12.25 by 12 and it gives you 1.0 giving you the lowest out of all of them when doing the math

Answer:

D. 12

Step-by-step explanation:


Written as a rate, 96 miles in 12 hours would be ____ miles per hour.

Answers

Answer:

8 Miles per hour

Step-by-step explanation:

Answer:

8 miles per hour

Step-by-step explanation:

miles / hr = 96/12 = 8 miles per hr

hr / mile = 12/96 = 1/8 hr per mile <==


What is the measure of BDC

Answers

Answer:

105 degrees

Step-by-step explanation:

180 - 75 = 105

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