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2 years ago

Calculate the amount of money you'll have at the end of the indicated time period.

Mathematics

1 answer:

Shalnov [3]2 years ago

7 0

The amount of money you'll have at the end of 10 years is $3900.

Given that, P=$3000, R=3% and T=10 years.

<h3>What is the formula to find the simple interest?</h3>

The formula to find the simple interest is $Interest=\frac{P \times T \times R}{100}$ .

Now, simple interest $=\frac{3000 \times 10 \times 3}{100}=\$900$ .

Amount=Simple Interest+Principal

=900+3000=$3900

Therefore, the amount of money you'll have at the end of 10 years is $3900.

To learn more about the simple interest visit:

brainly.com/question/25845758.

#SPJ1

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There are 12 jurors sitting in a circle

STALIN [3.7K]

I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
--------------------------------------------------------------------------------
The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:

Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation

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3 years ago

Factor b3 +b2 + b + 1.

olga nikolaevna [1]

Answer:

(b+1)(b²+1)

Step-by-step explanation:

8 0

3 years ago

Solve the Compound Interest Formula for time given: 250,000 = 12,000e^.125t

quester [9]

250000
=
13597.781437
t
Let's solve your equation step-by-step.
250000
=
13597.781437
t
Step 1: Flip the equation.
13597.781437
t
=
250000
Step 2: Divide both sides by 13597.781437.
13597.781437
t
13597.781437
=
250000
13597.781437
t
=
18.385352
Answer:
t
=
18.385352

5 0

3 years ago

What is the beat estimate for the quotient? 591.3 device by 29

Sedbober [7]

Hi there!

To estimate, we can round:

591.3 is approximately 600
29 is approximately 30

Now, we divide:

600 / 30 = 20

Hope this helps!

6 0

4 years ago

Geometry problem help! Please refer to the image below...

Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

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Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

$slope=\frac{rise}{run} =\frac{1}{3}$

This slope is the same for all of the sides.

-----------------------------------------------------------------

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}$

-----------------------------------------------------------------

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

-----------------------------

FH

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

$slope=\frac{rise}{run} =-\frac{2}{2} =-1$

-----------------------------

GE

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

$slope=\frac{rise}{run} =\frac{4}{4} =1$

-----------------------------------------------------------------

Let's use the distance formula on each of our diagonals.

-----------------------------

FH

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}$

-----------------------------

GE

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6$

-----------------------------------------------------------------

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

-----------------------------------------------------------------

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

-----------------------------------------------------------------

Parallelogram- quadrilateral with opposite pairs of parallel sides.

Rhombus- a parallelogram with four equal sides

Square- a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

-----------------------------------------------------------------

Have a wonderful day and keep on learning!

8 0

3 years ago

Calculate the amount of money​ you'll have at the end of the indicated time period.

Calculate the amount of money you'll have at the end of the indicated time period.