Assume these were weekly. Christopher worked 44 hours at $9 a hour. Taxes were 20%. How much money was left?​

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:

B. The equation has one solution

Step-by-step explanation:

Let's get rid of 3x first. We're going to add it to the other side. That way our equation will now look like 3 + 4x = 2. Now subtract the 3 from both sides. SO now you'll be left with 4x = -1. We're are now going to divide by 4 on both sides which will leave us with x = -1/4 or -0.25. The equation has one solution so your answer will be B.

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

Calculate the total area of the rectangle:

21 x 12 = 252

Half of the rectangle is unshaded so:

252 ÷ 2 = 126

For clarification, side A is the top, side B is the left hand side and side C is the bottom.

Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:

21 - 14 = 7

(7 x 12) ÷ 2 = unshaded

84 ÷ 2 = 42

So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:

252 - 126- 42 =   84

Which in fraction form is:

\(\frac{84}{252}\)

This can be simplified down by dividing both the numerator and the denominator by 3:

\(\frac{84 \div 3}{252 \div 3}\)

=\(\frac{1}{3}\)

Hope this helps!

Answer:

hnqrwiw6e6ieyeyieiyryiro6r7or7or7or

The quotient \(x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5\) is \(x^3 + 2x - 3\)

The quotient can be represented as:

\(x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5\)

Start by expanding the dividend

\(x^5 + 2x^3 - 5x^3 - 3x^2 - 10x + 15 \div x^2 - 5\)

Rewrite as:

\(x^5 + 2x^3 - 3x^2 - 5x^3 - 10x + 15 \div x^2 - 5\)

Factorize the dividend

\(x^2(x^3 + 2x - 3) - 5(x^3 + 2x - 3) \div x^2 - 5\)

Factor out x^3 + 2x - 3

\((x^2- 5)(x^3 + 2x - 3) \div x^2 - 5\)

Cancel out the common factor

\(x^3 + 2x - 3\)

Hence, the quotient \(x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5\) is \(x^3 + 2x - 3\)

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Answer: x3 + 2x – 3

Step-by-step explanation:

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:

Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The median of 11,7,13,2,5,4 is 6

The dataset is given as:

11,7,13,2,5,4

Sort the dataset in ascending order

2, 4, 5, 7, 11, 13

The median is the middle element.

At the middle, we have:

5 and 7

Calculate their mean

Median = (5 + 7)/2

Evaluate

Median = 6

Hence, the median of 11,7,13,2,5,4 is 6

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Answer:

5+x=y

Step-by-step explanation:

If she has already knit 5 cm you will always have to factor that in. If x is the number of nights adding the number of nights she does 1 cm of knitting will give you the length she has knit so far (y). I hope this helped! Good luck

Answer:

y=5x

Step-by-step explanation:

i did the ixl

Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Answer:

–59

Step-by-step explanation:

f(x) = -2x - 7

f(x) = -2(-4x + 6) - 7

f(x) = 8x - 12- 7

f(x) = 8x - 19

f(x) = 8(-5) - 19

f(x) = -40 - 19

f(x) = -40 - 19

f(x) = - 59

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer: 42€

How do you find this answer?

Look.

(35/100).20 =7€ =VAT

7€ + 35€ =42€

30 + 110 + 30 + 110 = 280

360-280 = 80

2y = 80

y = 40 degrees

If y is 40. Then the angle next to 30 is also y due to vertically opposite angles.

30 + 40 = 70

The line with 2 arrows is parallel to the line with x degrees. So, I use co-interior angles adds to 180.

In that c shaped, we got the bottom angle to be 70 & the top to be 110 because co-interior angles =180

Forget the c shape exists, and move onto the triangle that's visible. The top angle is 110 as found.

Angles in triangle add to 180.

180 - 110 - 30 = 40.

Thus, x = 40 degrees

There's a short cut I realise now because we can have alternate angles are equal; creating a z shape to find what x is equal to & that turns out to be the same value as y. ( due to vertically opposite angles)

Hope this helps!

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:I think it is 10.38 not 100%

Step-by-step explanation:

you divide 51.90 by 5

Answer:

$10.38

Step-by-step explanation:

5pack= $51.90

1 pack = $51.90÷5

= $10.38

Answer:

2. kilograms

Step-by-step explanation:

Answer:

(First answer option)

Step-by-step explanation:

General form of an exponential function

\(y=ab^x+c\)

where:

Given exponential function:

\(y=4(10)^x-3\)

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

\(f(x)=b^x\)

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

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Answer:

D

The light reflected during the first quarter and third quarter moon phases appears equal because the sun, moon, and Earth are at right angles.

From trigonometric ratio, we used the tangent of the angle to determine that the flagpole is leaning by an angle of 47.12°

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

In the question, we can assume the point of view and the flagpole makes a right angle triangle.

Since we have the opposite and adjacent, we can find the acute angle by using the tangent of the angle

tanθ = opposite / adjacent

tan θ = 14 / 13

θ = tan⁻¹(14/13)

θ = 47.12°

The flagpole is leaning with an acute angle of 47.12 degrees

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Answer:

Step-by-step explanation:

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

Option B

3&5, 4&6

Step-by-step explanation:

An interior angle is an angle inside a shape

Answer:

.4 is the answer to your question .

Answer:

four out of 9 doga so the less. then 20 the 2

7.8

They give you the radius, which is half the diameter.

3.9 * 2 = 7.8

answer:

1. 7.8 km

2. 17 ml

step-by-step explanation:

1 — 3.9 X 2 = 7.8 km

2 — 8.5 X 2 = 17 mi