Which expression is equivalent to -16

The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year

Marizza181 [45]

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

<h3>What is Logarithm?</h3>

The opposite of exponentiation is the logarithm.
This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given:

y = 6.72 ( $1.014^x$ ), where

y = population in billions
x = time in years

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72 ( $1.014^x$ )

=> $\frac{8}{6.72}= ( 1.014^x)$

Taking log on both sides

=> $log(\frac{8}{6.72})= log( 1.014^x)$

=> log(1.19) = x (log 1.014) (as $log_b(a)^m = m (log_b(a))$ )

=> $\frac{log(1.19)}{log (1.014)}$ = x

=> x = $\frac{0.0755}{0.006}$

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

5 0

1 year ago

The ice cream store sells sundaes. Each sundae costs $2.50 plus $0.35 for each topping. Find the rate of change and initial valu

Kobotan [32]

Answer:

rate of change: $0.35; initial value: $2.50; Equation: y= 0.35x + 2.50

Step-by-step explanation:

The rate of change is $0.35 because it's the one to change the total cost of the ice cream. If you get 3 toppings, you'll end up with 1.05 more dollars than if you had 0 toppings. And because of that, the initial value would also be $2.50, that's the minimum price you'll have to pay if you do want a sundae.

The equation is just restating all that, you start with the inital value b=$2.50, and the price will go up by 0.35 for every topping you add to the sundae.

Hope this helped :)

6 0

3 years ago

Read 2 more answers

What are the values of x in the equation x2 - 6x + 9 = 25?

hjlf

Answer:

x= -2 or x= 8

Step-by-step explanation:

$x^{2} - 6x + 9 = 25$

First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.)

$x^{2} -6x + 9 - 25 = 0$

Next, we know that 9-25 equals -16.

$x^{2} - 6x - 16 = 0$

Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Let's explain about factoring in Quadratic a little bit.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get.

$(x - 8)(x + 2) = 0$

Seperate both equations.

$x - 8 = 0 \\ x + 2 = 0$

Find the value of both x.

$x = 8 \\ x = - 2$

The answer is x = -2, 8

(The explanation might be weird since I don't know what they are called in English.)

3 0

4 years ago

Read 2 more answers

Please help! Thank you!

viva [34]

Answer:

A

Step-by-step explanation: im not extremely sure about this one though but the x coordinate is nine away from every coordinate of defc and the way it goes left means that the x is negative, the y coordinates of defc prime is positive because it moves up from defc. hope this helps

4 0

3 years ago

The cost of one pound of peanuts is 60% of the cost of one pound of cashews. if one pound of cashews cost 2$, what is cost of on

Dafna11 [192]

Hello!

In order to find the cost of one pound of peanuts, we need to find 60% of two dollars. To do that, we convert 60% to a decimal, then multiply that to the cost of cashews, which is two dollars.

60 / 100 = 0.60

0.60 x $2.00 = $1.20

Therefore, the cost of one pound of peanuts is $1.20.

The cost of two pounds of peanuts can be found by multiply the cost of one pound of peanuts by two. Then, we add the cost of one pound of cashews, which is two dollars.

$1.20 · 2 = $2.40

$2.40 + $2.00 = $4.40

Therefore, the total cost of two pounds of peanuts and one pound of cashews is $4.40.

Question 1: $1.20

Question 2: $4.40

4 0

4 years ago

Which expression is equivalent to -16 - 7?