What is 841,487 rounded to the nearest ten thousand?

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer: $18.75

Step-by-step explanation:

1 - 3/8 = 5/8

12 x 5/8 = 7.5

7.5 x 2.5 = 18.75

Dave spent $18.75, in filling his car's tank of capacity 12 gallons up to the capacity, which was 3/8th filled already, at the unit rate of $2.50 per gallon of gas.

The unit rate is the quantity (cost/distance/time, etc.) for one unit of another quantity (cost/distance/time, etc.).

In the question, we are informed that the gas tank of Dave's car has a capacity of 12 gallons. The tank was 3/8 full before Dave filled it to capacity. It cost him $2.50 per gallon of gas.

We are asked the amount Dave spent.

The unit rate of gas is $2.50 per gallon.

To find the total amount spent by Dave, we need to find the volume of gas he filled and then multiply that volume with the unit rate.

The capacity of Dave's car's tank = 12 gallons.

Gas it already had = 3/8th of capacity,

or, gas it already had = 3/8 * 12 = 4.5 gallons.

Therefore, the volume of gas Dave filled = 12 - 4.5 gallons = 7.5 gallons.

The amount spent by Dave = Volume filled*Unit rate = $ 7.5 * 2.5 = $18.75.

Therefore, Dave spent $18.75, in filling his car's tank of capacity 12 gallons up to the capacity, which was 3/8th filled already, at the unit rate of $2.50 per gallon of gas.

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Answer:

compound and elements

Step-by-step explanation:

a single atom is known as an element

a compound is two elements bonded together.

the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

False

Because it is called Proportional Tax

The fixed-rate doesn't increase or decrease as income rises or falls. An individual who earns $25,000 annually would pay $1,250 at a 5% rate, whereas someone who earns $250,000 each year would pay pays $12,500 at that same rate

Answer:

3rd option, (3,6) (5,10) (8,1) (14,1)

Step-by-step explanation:

Answer:

3rd option, (3,6) (5,10) (8,1) (14,1)

Step-by-step explanation:

edge 2020

Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

Answer:

2/5

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

he read first 74 and need to

= 74-30

=44

Answer:

a = 41°

b = 57°

c = 82°

Step-by-step explanation:

all angles in a triangle must add up to equal 180°

Answer:

268

Step-by-step explanation:

Answer:

He wanted his readers to realise that, if they continued to deny poor children the necessities of life – such as food, shelter, warm clothing, healthcare and an education – they would grow up to become dangerous, violent adults.

Answer: B C D

Step-by-step explanation:

20 is not a perfect square.

36 = 6 times 6.

49 = 7 times 7.

68 is not a perfect square.

121 = 11 times 11.

400 = 20 times 20.

Hope this helps

Answer:

The Answer Is A

Step-by-step explanation:

I know this because i took the test on edge and got 100%.

Answer:

A

Step-by-step explanation:

Cause I am right

Answer:

5

Step-by-step explanation:

Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches

The annual rate of return of the investment is 14%

The given parameters about the investment are

Principal Amount, P = $5000

Time, t  = 5 years

Total Amount, A = $9500

The amount of a compound interest is calculated using

A = P(1 + R)^t

Where R is the rate

Substitute the known values in the above equation

5000 * (1 + R)⁵ = 9500

Divide both sides by 5000

(1 + R)⁵ = 1.9

Take the 5th root

1 + R = 1.14

Evaluate the difference

R = 0.14

Express as percentage

R = 14%

Hence, the rate is 14%

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The probability that a randomly selected firm will earn less than 22 million dollars is 0.8557

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = 20 million dollars = 20 m

standard deviation, σ = 11 million dollars = 11 m

The probability

differ from the population proportion by less than 22 m

X < 22 m

z score

z = (22 - 20) / 11

= 0.181818

p value for z < 0.181818 = 0.85573

The probability required = 0.8557

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Answer: umm explain your question more better so we can understand it

Step-by-step explanation:

Given:

In circle P, m∠ADB is 25°.

To find:

The m∠APB.

Solution:

Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.

From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.

By using the central angle theorem, we get

\(m\angle APB=2\times m\angle ADB\)

\(m\angle APB=2\times (25^\circ)\)

\(m\angle APB=50^\circ\)

Therefore, the correct option is D.

Answer: Chet is 6 years old now

Step-by-step explanation:

Chet is 6 years old now and his father is 5 x 6 years = 30 years old now.

In 6 years, Chet will be 12 years old, so his father will be 3 x 12 years old = 36 years old.

Answer:

y=2(x+3/4) squared -249/8