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3 years ago

Can anyone answer this question for me?

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

Answer:

The answer is about 1.732, the exact form being $\sqrt{3}$ .

Step-by-step explanation:

The square root of 12 is 3.4641. You then divide this by 2 and you get approximately 1.732. This in the exact form is $\sqrt{3}$ .

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Check all that apply.

Aneli [31]

Answer:

i believe the it is B,C,D

Step-by-step explanation:

i'm sorry if it is wrong

5 0

2 years ago

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

3 years ago

Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in one hour?

Zepler [3.9K]

Alexis can wash a total of 14 windows in 1 hour

<h3><u>Solution:</u></h3>

Given that Alexis washes $10\frac{1}{2}$ windows in $\frac{3}{4}$ hours

<u><em>To find: </em></u>number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

$\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}$

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

$n \times 0.75 = 10.5 \times 1$

$n = \frac{10.5}{0.75} \\\\n = 14$

Thus Alexis can wash 14 windows in one hour

4 0

3 years ago

Please help me. i need answers asap. please correct answers

monitta

Answer:

1.) 6

2.) -1

3.) 36

4.) 1/3

5.) 90

Step-by-step explanation:

1.) -12/a

-12/a -> -12/2

2.) a+ (-b)

a+(-b) -> 2+(-3)

=-1

3.) 3a (12-2b)

3a(12-2b) -> 3(2) (12-2x3)

6(12-6)

6(6)

=36

4.) 2a-c/b

2a-c/b -> 2(2)-5/3

4-5/3

=1/3

5.) 3abc

3abc-> 3x2x3x5

=90

6 0

1 year ago

Justin is asked to solve the following system of linear equations using the elimination method.

romanna [79]

Alright, lets get started.

Justin is asked to solve the linear equations using elimination method.

By using elimination method means we have to multiply some numbers in our given equations in such a way that the co-efficient of x or y become same in both equations so that we could add or subtract them to cancel one of the term either x or y.

So, given equations are :

$5x - 12 = 3$