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2 years ago

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a 6 ft tall person is standing next to a flagpole. the person is casting a shadow 1 1/2 in length while the flagpole is casting

a shadow 5 ft in length. how tall is the flagpole

1 answer:

zhuklara [117]2 years ago

4 0

Answer:

20 feet

i hope this helped have a good day

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How long does it take for an investment to quadruple in value if it is invested at 11% compounded

defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0

2 years ago

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for <em>r: </em>

<em /> $(-5)^2+(3)^2=r^2$ <em />

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

2 years ago

Help me! I'm not sure if this is right.

ANTONII [103]

That’s correct :) goood jobbb

3 0

3 years ago

Can someone please awnser this for me i need to get a b in this class!!!!

Snezhnost [94]

The answer would be 30%

Explanation~

Well, you would have to add 27 and 23 first since, it says, “What percentage of the twelfth grade students have more than one college in mind” then, you’d have to figure out the percentage from there. And the percentage would be, 29.4117647059% of 170, round that to the nearest percent and it’s 30 I’m pretty sure.

3 0

3 years ago

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans

vladimir2022 [97]

Answer:

There is no following, we have data of all the people

Step-by-step explanation:

There where Sixty-five salespersons asked and the if we add all the persons that where asked it is the same. So there is no following

Fourteen people answered that they generally sell two cars; 14

nineteen generally sell three cars; 19

twelve generally sell four cars; 12

nine generally sell five cars; 9

eleven generally sell six cars 11

Adding 14+19+12+9+11=65 persons

8 0

3 years ago