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Eduardwww [97]
3 years ago
12

An epidemic has hit Hanthaway City. The population is declining 24% every hour. In just 8 hours, there are only 15,542 people le

ft in the city. What was the initial population in the city before the epidemic broke out?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
A=P(1-24/100)⁸

15,542 =P(0.76)⁸

P= (15,542)/(0.76)₂

P= 15,542/0.111303

P = 139,836
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Step-by-step explanation:

If APB is measured in radians, then the arc length AB = APB(r) where r is the radius of the circle.

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3 years ago
Write the equation of the line in slope-intercept form when given m=-6 and (-1,3)
Dmitry_Shevchenko [17]

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y=mx+b

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3 years ago
Express your answer as a polynomial in standard form
Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3><u>Definitions:</u></h3>
  • The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
  • In the <u>composition of function</u><em> f  </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f  </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3><u>Solution:</u></h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2)  + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8  + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.

8 0
2 years ago
Mrs. Davis earns $100 per week plus 6% commission on all of her sales. If she sells a house this month worth $120,000, what is h
BabaBlast [244]

Answer:

$7600

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total income = 120,000(.06)+100(4)

total income= 7200+400

total income = 7600

.

4 0
3 years ago
QUESTION 11.1
lawyer [7]

The group paid $ 5250 at first city and $ 6250 at second city

<u>Solution:</u>

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

The hotel charge before tax in the  second city was $1000 higher than in the first

Then the charge at the second hotel before tax will be x + 1000

y = x + 1000 ----- eqn 1

The tax in the first city was 8.5% and the  tax in the second city was 5.5%

The total hotel tax paid for the two cities was $790

<em><u>Therefore, a equation is framed as:</u></em>

8.5 % of x + 5.5 % of y = 790

\frac{8.5}{100} \times x + \frac{5.5}{100} \times y = 790

0.085x + 0.055y = 790 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

0.085x + 0.055(x + 1000) = 790

0.085x + 0.055x + 55 = 790

0.14x = 790 - 55

0.14x = 735

<h3>x = 5250</h3>

<em><u>Substitute x = 5250 in eqn 1</u></em>

y = 5250 + 1000

<h3>y = 6250</h3>

Thus the group paid $ 5250 at first city and $ 6250 at second city

8 0
3 years ago
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