The population of a city of 826,000 people decreases 3% per year.
Determine what the population of that city would be after 10 years.

9514 1404 393

Answer:

Step-by-step explanation:

The other acute angle in the triangle is the complement of the given one.

  π/2 -π/11 = (11 -2)π/11 = 9π/11 . . . . other acute angle

The trig relation applicable to finding the length of the opposite side is ...

  Tan = Opposite/Adjacent

  tan(π/11) = Opposite/13

  Opposite = 13·tan(π/11) ≈ 3.817

The trig relation relevant to finding the length of the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(π/11) = 13/Hypotenuse

  Hypotenuse = 13/cos(π/11) = 13sec(π/11) ≈ 13.549

Answer:

Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Step-by-step explanation:

Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:

Compound interest formula: Initial x (1 + interest / composition) ^ composition x years

Continuous compound interest formula: Initial x exp ^ (interest x years)

Cooper:

3,100 x (1 + 0.02 / 4) ^ 12x4 = X

3,100 x (1 + 0.005) ^ 48 = X

3,100 x 1,005 ^ 48 = X

3,100 x 1,270 = X

3,938.51 = X

Robert:

3,100 x 2.71828182845904 ^ (3x12) = X

4,443.32 = X

4,443.32 - 3,938.51 = X

504.51 = X

Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Answer:

$139

Step-by-step explanation:

Answer:

[tex]\=x=2.1[/tex]

[tex]\sigma=2.03[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=100[/tex]

Probability of  a defective widget [tex]P=0.021[/tex]

Generally the equation for binomial trial is mathematically given by

 [tex]q=1-p[/tex]

 [tex]q=1-0.021[/tex]

 [tex]q=0.979[/tex]

Since X is binomial random variable with functions of n and p,The equation of mean \=x

 [tex]\=x=E(x)[/tex]

  Where

  [tex]E(x=n*p)[/tex]

 [tex]\=x=100*0.021[/tex]

 [tex]\=x=2.1[/tex]

Generally the equation for variance \sigma is mathematically given by

 [tex]\sigma=\sqrt{nqp}[/tex]

 [tex]\sigma=\sqrt{200*0.021*0.979}[/tex]

 [tex]\sigma=2.03[/tex]

Answer:

the answer will be 7.50

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

bestieeee wheres the equationsss

Step-by-step explanation:

Answer:

Shreya must put in 3 more cups of sugar.

Step-by-step explanation:

Given that a recipe for cupcakes calls for 6 cups of sugar, and Shreya has already put in 3 cups, to determine how many more cups does she need to put in to complete the amount required by the recipe, the following calculation must be performed:

6 - 3 = X

3 = X

Therefore, Shreya must put in 3 more cups of sugar.

Answer:

99.7% confidence interval is [tex][0.4162,0.7437][/tex]

Step-by-step explanation:

The formula for a confidence interval for a population proportion is [tex]CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex] where [tex]\hat{p}[/tex] is the sample proportion, [tex]n[/tex] is the sample size, and [tex]z^*[/tex] is the critical score for the desired confidence level.

We are given a sample size of [tex]n=80[/tex] and a sample proportion of [tex]\hat{p}=0.58[/tex]. Our critical score for a 99.7% confidence level would be [tex]z^*=normalcdf(0.9985,0,1)=2.9677[/tex]

Therefore, the approximate 99.7% confidence interval for the population parameter is [tex]CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438][/tex]

So we are 99.7% confident that the true population proportion is contained within the interval [tex][0.4162,0.7437][/tex]

Answer:

(0.414, 0.746)

Step-by-step explanation:

big brain

Answer:

is that a unit assesment?

Step-by-step explanation:

Answer:

sqrt. 244

Step-by-step explanation:

a^2 + b^2 =c^2

10^2 + 12^2 =244

c^2 =244

c= sqrt. 244

Answer:

if x+y equal 90

and z equal 2 sqrt 61

if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90

k =15/4

y=10k

x=12k

like this hopefully its helpful

Answer:

A)  16 / 9           B) 7/9

Step-by-step explanation:

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Thanks so much for the free p0ints! hereś a meme to make you laugh!

Answer:

78

Step-by-step explanation:

a= (a+b/2)(H)

9+17=26/2=13x6= 78

do bedmas

hope this helps

Answer:

Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]

Given :

Sample with data values of [tex]x_i[/tex]  [tex]10,20,12,17[/tex] and [tex]16[/tex]

Sample size[tex]n=5[/tex]

To find:

Compute the score for each of the five observations.

Explanation :

[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

                     [tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]

                    [tex]\Rightarrow \bar{x}=15[/tex]

Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]

                             [tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]

                            [tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]

                           [tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]

                          [tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]

                         [tex]\Rightarrow \sigma=4[/tex]

[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].

So, when [tex](x=10),[/tex]       [tex]Z=\frac{10-15}{4}=-1.25[/tex]

     when [tex](x=20),[/tex]       [tex]Z=\frac{20-15}{4}=1.25[/tex]

     when [tex](x=12),[/tex]      [tex]Z=\frac{12-15}{4}=-0.75[/tex]

    when  [tex](x=17},[/tex]       [tex]Z=\frac{17-15}{4}=0.50[/tex]

    when [tex](x=16)[/tex]       [tex]Z=\frac{16-15}{4}=0.25[/tex]

Answer:

D

Step-by-step explanation:

The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

A sphere with a diameter of 9 units fits exactly in the clear glass cube.

Diameter = 9 units

The radius r = 9/2 units

The volume of the sphere:

[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]

[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]

The volume of cube = a³

a is the side length

The volume of the cube = (9)³

The volume, in cubic units, of empty space in the cube:

[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]

Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ6

Answer:

0.3257

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 496 ; Standard deviation = 110

For :

P(x > 545.7)

We obtain the standardized, Z score

Z = (545.7 - 496) / 110

Z = 49.7 / 110

Z = 0.4518

Hence, using the Z distribution table :

P(Z > 0.4518) = 1 - P(Z < 0.4518)

P(Z > 0.4518) = 1 - 0.67429

P(Z > 0.4518) = 0.32571

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

Answer:

Step-by-step explanation:

x+12.5=18

Here's a tip!

You can do 18-12.5

Which gives you 5.5

therefore if you try 5.5+12.5

You would get 18!

- Hope this helped :)

Answer:

4.7

Step-by-step explanation:

14.2 - 9.5 = 4.7

hope that helps!

Answer:

24inch^3

Step-by-step explanation:

i hope this helps

Answer:

2325

Step-by-step explanation:

you multiple 31 by 75 it becomes 2325

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Answer:

20.7 I hope this is right good luck

Answer: 718.38

Step-by-step explanation:

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

Answer:

4

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

Answer: a

Step-by-step explanation: