some please help asap !!

9514 1404 393

Answer:

  $2560.00

Step-by-step explanation:

The account balance is given by the formula ...

  A = Pe^(rt) . . . . principal P invested at rate r for t years

Filling in your numbers, we have ...

  $3287.11 = Pe^(0.05·5)

  P = $3287.11e^(-0.25) = $2560.00

The initial amount was $2560.00.

Answer:

The rabbit will run 264feet to get to the tortoise

Step-by-step explanation:

To solve this problem perfectly, we need to take note of the units and conversions involved.

The speed of the tortoise is 0.1 mi/hr

The speed of the hare is 5mi/hr

If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.

The tortoise runs 0.1 miles in 1 hour

The tortoise will run x miles in 0.5 hours.

x = 0.5 X 0.1 =  0.05 miles.

Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.

The hare will have to run for 0.05 miles before he can catch up to the tortoise.

It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.

The answer in feet is 264 feet.

Therefore, the rabbit will run 264feet to get to the tortoise

Answer:

y = 3/2x + 8

Step-by-step explanation:

using points (-2,5) and (0,8),

we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49

Answer:

86 degrees

Step-by-step explanation:

The total angles of a quadrilateral add up to 360 degrees, so if you do 360-134-50-90, you get 86, which is your answer.

Answer:

x is 86

Step-by-step explanation:

To solve we will use the equation s = (n-2) 180

s is the sum of all the angles, and n is the number of sides the shape has.

We do not know what s is yet, and since this is a 4 sided figure we will have to solve it like this:

s= (4-2) 180

s= 2(180)

s= 360

Since we now know all the angles added together will equal 360 we can now solve for x. We will solve by adding up all the angles together plus x like this:

134+ 90+ 50+x = 360

274 + x = 360  

-274         -274               360-274 = 86

X = 86

Answer:

The volume of Kuron Pool is 600ft³.

Step-by-step explanation:

Rectangular prisms are basically cuboids.

So using the formula to calculate volume of the cuboid i.e.

V = length x breadth(width) x height

= 15 x 8 x 5

= 600ft³

Answer:

Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.

Given :

The shore station point [tex](X_1,Y_1)[/tex] in feet,

        [tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]

The Rock station point [tex](X_2,Y_2)[/tex] in feet

       [tex](X_2,Y_2)=(1408.03,6980.06)[/tex]

From the figure

     [tex]x=2058.97-1408.03=650.94[/tex] feet

    [tex]y=6980.06-6980.06=0\\[/tex] feet

Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]

                           [tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]

                            [tex]\Rightarrow L=650.94[/tex] feet

[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]

[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]

Azimuth of line[tex]=270^{\circ}+\theta[/tex]

                       [tex]=270^{\circ}+0[/tex]

                      [tex]=270^{\circ}[/tex]

[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]

                [tex]=360^{\circ}-270^{\circ}[/tex]

                [tex]=90^{\circ}[/tex]

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.

Answer:

4π

Step-by-step explanation:

Answer:

720 degrees is 4pi

Step-by-step explanation:

mathematically;

1 pi is 180 degrees

x pi is 720 degrees

x * 180 = 1 * 720

x = 720/180

= 4 pi

Answer: Choice D

Yes, there exists one output for every input.

=======================================================

Explanation:

x = input

y = output

For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.

Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.

Answer:

x = 0

Step-by-step explanation:

Subtract 25x^2 from both sides

24x^2 + bx^2 - 25x^2 - 25x^2

Simplify

bx^2 - x^2 = 0

Factor bx^2 - x^2: x^2(b - 1)

bx^2 - x^2

Factor out common term x^2

= x^2 (b - 1)

x^2(b - 1) = 0

Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0

x^2 = 0

Apply rule x^n = 0   x = 0

x = 0

Answer:

w=6

l=14

Step-by-step explanation:

Area of rectangle = l*w

So:

[tex]w*(w+8)=84[/tex]

Then, just find w, and w+8.

[tex]w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14[/tex]

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14

Step-by-step explanation:

Dont understand, sorry!!

Answer:14

Step-by-step explanation:

Answer:

B. 2.32 units clockwise

Step-by-step explanation:

I calculated it logically

Answer:

n² + 3

this is the expression

Step-by-step explanation:

Answer: true

Step-by-step explanation:

9514 1404 393

Answer:

  >

Step-by-step explanation:

1 kg = 1000 g

Multiplying by 1000, you have ...

  1000 kg = 1,000,000 g

  1,000,000 g > 100,000 g

The appropriate relation symbol is >.

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.

Answer:

3

Step-by-step explanation:

Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.

It should give (-6, (-1)-5).

Step-by-step explanation:

Answer:

5.5 and 1.2

Step-by-step explanation:

Answer:

a = 5.5

b = 1.2

Step-by-step explanation:

5.5 + 1.2 = 6.7

5.5 - 1.2 = 4.3

Answer:

-68$

Step-by-step explanation:

: D

hope I'm right...

Answer:

$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.

Step-by-step explanation:

Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

28,500 x 0.14 + 0 x 0.04 = 3,990

20,000 x 0.14 + 8,500 x 0.04 = 3,140

15,000 x 0.14 + 13,500 x 0.04 = 2,640

Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.

Answer:

8 cm and 9 cm

Step-by-step explanation:

Those are they only numbers that aren't equal to or less than the third side.

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

Answer:

8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3

Step-by-step explanation:

Sry If it doesn't make sense!

If you are confused let me know and I will explain in the comments.

Answer:

7/8 or the bottom right

Step-by-step explanation:

Answer:

C. Maximum

Step-by-step explanation:

I calculated it logically

Answer:

751.8

Step-by-step explanation: