A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

The given parameters are:

[tex]\mathbf{a =10000}[/tex] --- the initial population

[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate

Population are always modelled using exponential function.

This is represented as:

[tex]\mathbf{y = a(1 - r)^x}[/tex]

Where y represents the population in x years.

So, we have:

[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]

[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]

[tex]\mathbf{y = 10000(0.997)^x}[/tex]

When the population reaches half, then y = 5000.

So, we have:

[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = 0.997^x}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]

Apply law of logarithm

[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]

Make x the subject

[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]

[tex]\mathbf{x = 230.7}[/tex]

This means that the population will become half the original population in 230.7 years.

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

Read more about exponential function at:

https://brainly.com/question/11487261

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

Answer:

I=Prt

(I= interest

P=principle amount

r=rate per year in decimal form

t=time period)

●I = Prt

I = 8000×(2/100)×6

I = 8000×0.02×6

I =$960

BRAINLIST PLS

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7

Answer:

200

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is correct 24r11 one ................

If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.

Steps are in the attachment.

____

RainbowSalt2222 ☔

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

[tex] \: \: \: \: \: [/tex]

x = - 12

refer to the attachment

[tex]\sf \longmapsto-6 = x + 6[/tex]

[tex]\sf \longmapsto \: x+6=−6[/tex]

[tex]\sf \longmapsto \: x+6−6=−6−6[/tex]

[tex]\sf \longmapsto \: x=−12[/tex]

[tex] \boxed{ \sf \: x=−12}[/tex]

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

Answer:

10

Step-by-step explanation:

E = V + 1/2mv^2

700 = 300 + 1/2*8*v^2

400 = 4v^2

100 = v^2

v = 10

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes

let's put the equation in y=mx+b format (slope-intercept format)

-2x + 3y = -6

add 2x to each side to get:

3y = 2x - 6

divide each side by 3 to get:

y = 2/3x - 2

the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)

now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:

0 = 2/3(-2) + b

0 = -4/3 + b

b = 4/3

equation would be:

y = 2/3x + 4/3

Answer:

y = -2x - 9

Step-by-step explanation:

Slope = - 2

Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"

y = mx + b

3 = -2(-6) + b

3 = 12 + b

3 - 12 = b

-9 = b

The equation of the line is y = -2x - 9

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

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

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

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Answer:

3.2 *10^-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Answer:

13/8-3/4. LCM=2×2×2=8

= find the LCM of the denominators. 2 8 4

= 13 -6 /8 2. 4. 2

= 7/8 2 2. 1

; 1. 1

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

Answer:

How much did she start with tho???

Step-by-step explanation:

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

[tex] = \frac{8}{2} - \frac{3}{2} [/tex]

[tex] = \frac{8 - 3}{2} [/tex]

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]

Answer:

The greatest number is 11

Step-by-step explanation:

It is 11 because 3+3=6+15=21

35-21=14

14/1.25=11.2

hope this helps

Answer:

yeeeeee

Step-by-step explanation:

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

Answer:Yea looks like you have it already C

Step-by-step explanation: