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3 years ago

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solve for x. round your answer to two decimal places. show your work for full credit. a right triangle is shown with the hypoten

use labeled x. one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

1 answer:

Molodets [167]3 years ago

3 0

I hope this helps you

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Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t

MariettaO [177]

( 2 , - 2 )

................

................

................

8 0

3 years ago

A man retires at age 50 with $605,000 in savings. He spends his savings at a steady rate, and after 6 years of retirement, he ha

givi [52]

Since it states that he "spends his savings at a steady rate," we can assume this is a linear equation.

What we know is that he started with $605,000 and after 6 years, he used $300,000. So, we just subtract what he had originally by what he used and get $305,000. We can now make the equation as follows:

300,000=6x, where x is the amount of money he spent in one year. This equation simplifies to x=50,000, which is the amount of money he spent in one year.

Since the question asks us to tell how long it will take him to reach $100,000 in savings, we can make the equation using previous value we have found:

100,000=305,000-50,000x, where x is the number of years passed.

So, this equation solves to -205,000=-50,000x, or x=4.1

I'm not sure how you want to express your answer, but it took him 4.1 years on top of the 6 years already passed to reach $100,000. This mean 10.1 years in total.

Hope this helps!

7 0

3 years ago

Points P(5, 7) and Q(-1, 1) lie on the graph of y = x + 2.

Arisa [49]

Answer:

R is not collinear.

S is collinear.

Step-by-step explanation:

The equation of the graph is given by y =x +2 ........ (1).

Now, the points P and Q having coordinates (5,7) and (-1,1) respectively lie on the graph of the equation (1) because those points satisfy the equation.

Now, if we consider another point R having coordinates (1,-1), then it does not lie on the graph of equation (1) as it does not satisfy the equation.{If you put x=1, then y will be 3 but not -1}

Therefore, P, Q, R are not collinear. (Answer)

Again if we consider the point S(-3,-1), it satisfies equation (1).{If you put x=-3 in the equation (1), y will be -1}.

Therefore, P, Q, and S lie on the same straight line. and they are collinear. (Answer)

6 0

3 years ago

A) In 2000, the population of a country was approximately 5.82 million and by 2040 it is projected to grow to 9 million. Use the

mezya [45]

Answer:

By 2086

Step-by-step explanation:

The provided equation is:

$A=A0*e^{k*t}$ , where:

A=total of population after t years

A0=initial population

k= rate of growth

t= time in years

Given information:

The final population will be 15 million, then A=15.

We start in 2000 with a 5.82 million population, then A0=5.82.

Missing information:

Although k is not given, we can calculate k by using the following statement, from 2000 to 2040 (within 40 years) population is proyected to grow to 9 million, which means a passage from 5.8 to 9 million (3.2 million increament).

Then we can use the same expression to calculate k:

$A=A0*e^{k*t}$

$9=5.8*e^{40*k}$

$ln(9/5.8)/40=k$

$0.010984166494596147=k$

$0.011=k$

Now that we have k=0.011, we can find the time (t) by which population will be 15 million:

$A=A0*e^{k*t}$

$15=5.8*e^{0.011t}$

$ln(15/5.8)/0.011=t$

$86.38111668634878=t$

$86.38=t$

Because the starting year is 2000, and we need 86.38 years for increasing the population from 5.8 to 15 million, then by 2086 the population will be 15 million.

4 0

4 years ago

As part of a social experiment, Joey sent an email to 2 friends. The email asks the person reading it to forward it to 3 people.

MariettaO [177]

Answer:

I can not see the table, so i will answer this in a general way.

Ok, let's see a rough image of what is happening.

First, Joey sends the email to 2 friends.

So first, 2 people have the email

Then each friend sends the email to 3 new people.

So now the number of people that has the email is:

2 + 2*3 = 2 + 6.

Now, the 6 new people that received the email send it to other 3 new people each, so now the number of people that got the email is:

2 + 6 + 6*3

and so on.

We already can see the pattern here, we can write this as:

∑aₙ

Where aₙ = 3*aₙ₋₁

and a₀ = 2.

So with that information, we can find the number of iterations, n, for a given number of people that received the email A.

A = ∑aₙ = (a₀ + a₁ + a₂ + ....) = (2 + 2*3 + 2*3*3 + ...)

3 0

4 years ago