to make dough Reba needs 2 and 1/2 cups of flour how much flour does she need to make 5 batches of dough

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

1 year ago

Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d

lakkis [162]

<span>The number of dollars collected can be modelled by both a linear model and an exponential model. To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8) The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3 y - 2 = 3(x - 1) = 3x - 3 y = 3x - 3 + 2 = 3x - 1 Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17 To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2. 8 = 2r^(3 - 1) = 2r^2 r^2 = 8/2 = 4 r = sqrt(4) = 2 Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>

4 0

1 year ago

Read 2 more answers

What did the abacus say when asked if he could help out at the school carnival worksheet answer

Alik [6]

Answer:

Don't worry,no one will be subtracted but all will be added.

7 0

1 year ago

Which equation is the inverse of y = 2x2 – 8?

Marrrta [24]

The inverse of the the function above is y = $\sqrt{\frac{x+8}{2}}$

In order to find the inverse of any function, you need to switch the x and y values. Once you've done that, you need to solve for the new y value. The resulting equation will be your inverse. The work for this one is below.

y = 2x^2 - 8 ----> Switch the terms

x = 2y^2 - 8 ----> Add 8 to both sides.

x + 8 = 2y^2 ----> Divide both sides by 2.

$\frac{x+8}{2}$ = y^2 ----> Now take the square root of both sides.

$\sqrt{\frac{x+8}{2}}$ = y

What's left is your inverse. You can change the order so that it is in a more acceptable form.

y = $\sqrt{\frac{x+8}{2}}$

6 0

2 years ago

From the equation 5 - 4 + 7x + 1 = __x + __, use numbers 0 - 9 to find No Solutions, One Solution, or Infinitely Many Solutions.

mina [271]

The correct answer is

<span>5 - 4 + 7x + 1 = 7 x + 1</span>

5 0

1 year ago

to make dough Reba needs 2 and 1/2 cups of flour how much flour does she need to make 5 batches of dough​

to make dough Reba needs 2 and 1/2 cups of flour how much flour does she need to make 5 batches of dough