All categories

3 years ago

PLZ HELP!!! 50 POINTS I NEED AN ANSWER IN THE NEXT 15 MINUTES!!! I WILL MARK BRAINLIEST!

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Answer:

6.75 square units

Step-by-step explanation:

The triangle has the same base and height as the rectangle.

Triangle area:

A = 1/2bh

Rectangle area:

A = bh

The shaded area is equal to half of the area of the rectangle:

13.5/2 = 6.75 square units

You might be interested in

I only need 5,6,7,8,and 9 Plz help I need to get to my football game in a few mins

Semmy [17]

5 is 5x=+5

6 is the product = multiplication the square of h=h^2 final answer h^2 x 8

for 7 im not sure sorry ;(

for number 8 it would be 48=x+7

im not sure for 9 sorry ;(

3 0

3 years ago

Use the information for the question below.

Zielflug [23.3K]

Answer:

The correct option is d. Project B.

Step-by-step explanation:

Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.

Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The

payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.

Payback period can be calculated as follows:

Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)

Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:

Project A payback period = 2 + ($1,000 / $3,000) = 2.33

Project B payback period = 2 + ($3,000 / $10,000) = 2.30

Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.

Therefore, the correct option is d. Project B.

Download xlsx

7 0

3 years ago

Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. cos 41π 12.

PtichkaEL [24]

Answer: $\frac{\sqrt{6}-\sqrt{2}}{2}$

Step-by-step explanation:

We apply the formula $\cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y)$ .

Note that $\cos(\frac{41}{12}\pi)=\cos((\frac{36}{12}+\frac{7}{12})\pi)=\cos(3\pi + \frac{7}{12})\pi)$ . Take $x=3\pi$ and $y=\frac{7}{12}\pi$ in the formula above to get

$\cos(\frac{41}{12}\pi)=\cos(3\pi)\cos(\frac{7}{12}\pi)-\sin(3\pi)\sin(\frac{7}{12}\pi)=(-1)\cdot \cos(\frac{7}{12}\pi)-0\cdot\sin(\frac{7}{12}\pi)=-\cos(\frac{7}{12}\pi)$

Then the value of this expression is $-\cos(\frac{7}{12}\pi)$

We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:

$\cos(\frac{7}{12}\pi)=\cos((\frac{3}{12}+\frac{4}{12})\pi)=\cos((\frac{1}{4}\pi + \frac{1}{3})\pi)$

Applying the formula with $x=\frac{1}{4}\pi$ and $y=\frac{1}{3}\pi$ we obtain

$\cos(\frac{7}{12}\pi)=\cos(\frac{1}{4}\pi)\cos(\frac{1}{3}\pi)-\sin(\frac{1}{4}\pi)\sin(\frac{1}{3}\pi)=\frac{\sqrt{2}}{2}\cdot\frac{1}{2} -\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}=\frac{\sqrt{2}-\sqrt{6}}{2}$

We conclude that this expression has the value $-\frac{\sqrt{2}-\sqrt{6}}{2}=\frac{\sqrt{6}-\sqrt{2}}{2}$

8 0

3 years ago

how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% com

miskamm [114]

To find the difference between the tow investments we are going to use tow formulas. Simple interest formula for our simple interest investment, and compound interest formula for our compound interest investment.
- Simple interest formula: $A=P(1+rt)$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ , so lets replace those values in our simple interest formula to find $A$ :
$A=5000(1+(0.04)(5))$
$A=5000(1.2)$
$A=6000$

Now that we know the final investment value of our simple interest investment, lets use the compound interest formula to find the final investment value of the other one:
- Compound interest formula: $A=P(1+ \frac{r}{n})^{nt}$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $n$ is the number of times the interest is compounded per year
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ . Since we know that the interest is compounded quarterly (each 4 months), it mean that is compounded $\frac{12months}{4months} =3$ times per year, so $n=3$ . Now that we have all the vales, lets replace them in our formula:
$A=5000(1+ \frac{0.04}{3} )^{(3)(5)}$
$A=5000(1+ \frac{0.04}{3} )^{15}$
$A=6098.95$

now that we know the final amounts of our investments, lets find how much difference is between them:
$6098.95-6000=98.95$

We can conclude that the difference between invest $5000 in a compound interest investment vs a simple interest investment is $98.95.

5 0

4 years ago

Whats the square root of 83

Romashka [77]

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

6 0

3 years ago