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2 years ago

4 nail polishes for $8.50 as a rate

Mathematics

2 answers:

Taya2010 [7]2 years ago

8 0

Answer:

Come one! Who actually knows this l bozo

Step-by-step explanation:

erik [133]2 years ago

7 0

8.50/4=2.13 per unit

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In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

2 years ago

2x - y = 1<br> 3x - y = 2

Charra [1.4K]

Answer:x=1, y=1

Step-by-step explanation:

2(1)-1=1

3(1)1-1=2

3 0

2 years ago

10.44 is 14.4% of what number?

kipiarov [429]

The answer for that is .. 17?

3 0

3 years ago

Read 2 more answers

Solve For X<br> (see picture below) <br><br> thank you!

Mashutka [201]

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

x² = 6(6 + 18) = 6 × 24 = 144 ( take the square root of both sides )

x = $\sqrt{144}$ = 12

8 0

3 years ago

Just please help me I will give branliyest

alex41 [277]

Answer:

Step-by-step explanation:

because proportion is right vertical

6 0

3 years ago