Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25


(a) What does the 1.3 represent in this context? Give units.


(b) What is the continuous growth rate of users per year?


(c) What is the annual percent growth rate of users per year?


(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.

Answers

Answer 1

Answer:

A) 1.3 represents the number of foodbank users in thousands in the year 2006

B) 0.81 per year

C) 124.79%

D) the doubling rate is less than a year.

Step-by-step explanation:

A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands

Thus, in 2006,t = 0.

So, N(0) = 1.3e^(0.81 × 0)

N(0) = 1.3

Thus,1.3 represents the number of foodbank users in thousands in the year 2006

B) From the question, we see that the continuous growth rate is 0.81t.

This is 0.81 per year

C) The exponent of the growth rate is e^(0.81t).

Thus gives; 2.2479^(t)

This means the annual growth factor for each year is 2.2479.

Thus,annual percent growth rate is;

(2.2479 - 1) × 100% = 124.79%

D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.


Related Questions

Finance Application. Tony earned $8.25 per hour at his after school job. Each week he earned $80. Write and solve an equation to show how many hours he worked each week.​

Answers

Answer:

  9.6969 hours

Step-by-step explanation:

8.25x = 80

x = 9.6969 hours

What is the value of sec A (include steps)

Answers

Answer:

17/15

Step-by-step explanation:

Sec A = 1/ Cos A

Cos A = Adjacent / Hypotenuse

1/Cos A = Hypotenuse / Adjacent

So, Sec A = Hypotenuse/Adjacent

= AB/AC

= 17/15

Answer:

17/15

Step-by-step explanation:

Secant is the inverse of cosine.

Cosine is the adjacent side divided by the hypotenuse.

cos A = 15/17

sec A = 17/15

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

PLEASE HELP ME WITH THIS ILL BRAINLIST PLS HELP SOLVE AS MANY AS U CAN​

Answers

Answer:

a) d + f

b) 3d + f - 7

c) d + f + 25Step-by-step explanation:

Solve 2x-4 = -2-2+2x
and
Solve 5x-9 = 8+5x

Answers

Answer:

1. 0=0

2. 0=17

Step-by-step explanation:

help me plaseeeeeeeeee

Answers

Answer:

it would be b

Step-by-step explanation:

when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??​

Answers

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

[tex](3x)^2-3x[/tex]

and the answer is 28 so the final form of the problem should be

[tex](3x)^2-3x=28[/tex]

[tex]9x^{2} -3x-28=0[/tex]

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

please help i'm stuck :,)

Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.

Answers

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

Answers:

14 minutes below the average

6 minutes above the average

=====================================================

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

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

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

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

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.

what will happen to the area of a square if the length of its sides are halved​

Answers

Answer:

the side is halved the area of the square will be one fourth

Step-by-step explanation:

example : 6cm

area : 6x6 = 36

now half of 6 is 3

so : 3x3 = 9

one-fourth of 36 is 9

Incorrect
00:00
The map shows the beach area on a coordinate plane.
Find the distance from the car to the cabana and then from the cabana to the beach.
Car
3-
Cabana
Beac
-5
-3
101
2
3.
5.

Answers

Answer:

I really need help on this one but I got 9 could you tell me if it’s right?

Step-by-step explanation:

A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm

Answers

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

volume = length × width × height

30 = 2 × 3 × h

30 = 6h

5=h

It is 5 cm high

Hope it helps you

Regards,

Rachana

The following numbers are arranged in ascending order. Their median and mean are same .Find the value of x: 4, 7 ,x + 1, x+ 3 ,x + 4, 14, 16​

Answers

Answer:

x=7

Step-by-step explanation:

(4+7+x+1+x+3+x+4+14+16)/7​=x+3

(11+x+1+x+3+x+4+14+16)/7​=x+3

(49+3x)/7​=x+3

49+3x/7​=x+3

49+3x​=7x+21

49=4x+21

28=4x

x=7

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y- (-8) = (-5)

x + 21 = (-2)

x + 21 = (-2)

(-10) + r = (-2)

(-6) + b = 9

Answers

Step-by-step explanation:

1. y = -3

2. x= -23

3. r = 8

4. b= 15

PLEASE HELP ME I WILL FAIL IF YOU DON'T

Answers

Answer:

42 students

Step-by-step explanation:

70% of 100 students is 70 so 70 times 60%=4200. 4200/100=42

What vocabulary term describes symbols that represent numbers whose quantity we don't know?

Answers

Answer:

variable

Step-by-step explanation:

Is 3.07 the same as 3.7 ?

Answers

Answer:

yes it is a 0 is not a value if its infront of an answer

Step-by-step explanation:

no it’s not the 7 in the first on is in the hundreds place and the second is in the tenths

Every relation that is linear, must also be a function true or false

Answers

Answer:

In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Step-by-step explanation:

I hope this helps, sorry if it doesn't good luck

It is false that Every relation that is linear, must also be a function.

Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

What is a linear function?

Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.

Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.

Thus, It is false that Every relation that is linear must also be a function.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

PLEASE HELP I WILL GIVE YOU 13 POINTS

Answers

Answer:

I think it would be C.

Step-by-step explanation:

For y [tex]\geq[/tex] the line should be solid and it should be shaded above the line because ≥ means greater than.

For y > the line should be dashed and it should be shaded above the line because it means greater than.

For y [tex]\leq[/tex] the line should be solid and it should be shaded below the line because it means less than.

For y < the line should be solid and it should be shaded below the line because it means less than.

Hope this helps!

−2(x+1/4)+1=5 PLEASE HELP

Answers

Answer:

x = -2 1/4

Step-by-step explanation:

-2(x + 1/4) + 1 = 5

-2x - 1/2 + 1 = 5

-2x + 1/2 = 5

-2x = 5 - 1/2

-2x = 4 1/2

-x = 2 1/4

x = -2 1/4

Hope this helps!

Let me know if I'm wrong :)

The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and e are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar?

Answers

The answer is 2.00 dollars

Answer:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

Step-by-step explanation:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2

Answers

Answer:

1 to 2

Step-by-step explanation:

If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2

Answer:

The answer is 1 to 2 i did the quiz on flvs

Step-by-step explanation:

What is the equation of the line that passes through the point (-5,3) and has a slope of -6/5​

Answers

Answer:

y=-6/5x-3

Step-by-step explanation:

Formula: y-y1=m(x-x1)

y-3=-6/5(x-(-5))

y-3=-6/5(x+5)

y-3=-6/5x-6

y=-6/5x-3

Answer:

y=-6/5x-3

Step-by-step explanation:

:)

What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?

Answers

Answer:

16

Step-by-step explanation:

a fair coin is tossed 14 times, what is the probability of exactly 6 heads

Answers

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%                

Can I get Brainliest?                    

Compute -8+2.8+7.3 find the answer

Answers

use the calculator but the answer is 18.1

Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m m m

Answers

C dont know tell me if it helped

two questions in 1 more points added​

Answers

Answer:

13

Step-by-step explanation:

The square root of 169 is 13

Answer:

The first one is 64

and for the second one i cant really see it, but it should be 4 radical 10

Estimate the sum 78.5+51.4

Answers

The answer to that question is 129.9. Hope this helps and if you could can you mark as brainliest? I’m trying to rank up and I just need 2 more!

Answer:

129.9

Step-by-step explanation:

78.5

+ 51.4

129.9

Hope this helps! (:

Item 5 In the number 7.7592, how does the value of the 7 in the ones place compare to the value of the 7 in the tenths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 7 in the ones place is Response area the value of the 7 in the tenths place.

Answers

Answer:

100 times

Step-by-step explanation:

Given the decimal number 7.7592

The value of the 7 in the ones place is 7 tens i.e 10

The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1

Comparing both values

We will compare both values by finding their ratios as shown;

ratio = value of the 7 in the ones place/value of the 7 in the tenth place

ratio = 10/0.1

ratio = 100

Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"

Answer

100 timesStep-by-step explanation:

Given the decimal number 7.7592

The value of the 7 in the ones place is 7 tens i.e 10

The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1

Comparing both values

We will compare both values by finding their ratios as shown;

ratio = value of the 7 in the ones place/value of the 7 in the tenth place

ratio = 10/0.1

ratio = 100

Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"

i need help on this

Answers

Answer:

2

Step-by-step explanation:

63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2

Answer:

2

Step-by-step explanation:

[tex]\frac{63}{9} = 7[/tex]  Plug 7 in: -5 + 7-5 + 7 = 2

I hope this helps!

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