Suppose your friend's parents invest $10,000 in an account paying 5% compounded annually. What will the balance be after 10 years?
The account balance will be $
(Round to the nearest cent as needed.)

Please help me fast!!

Answer:

31.42

Step-by-step explanation:

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Answer:

200.96 ft²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = 3.14 × 8² = 3.14 × 64 = 200.96 ft²

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

Answer:

150 boys

Step-by-step explanation:

equation:

⇒ 5x + 4x = 270

add like terms:

⇒ 9x = 270

divide 9 on both sides:

⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]

solve:

⇒ x = 30

take original equation and subtitute 30 for x;

⇒5 x 30 + 4 x 30 = 270

⇒ 150 + 120 = 270

We can see that if there were 270 students, 150 would be boys and 120 would be girls.

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

Answer:

8 is the correct answer i think I'm not really sure

Answer:

v = 165

Step-by-step explanation:

v/22 -0.1 = 7.4

v/22 = 7.4+0.1 =7.5

v = 7.5*22

v = 165

Answer:

[tex]v = 165[/tex]

1) Add 0.1 to both sides.

[tex] \frac{v}{22} = 7.4 + 0.1[/tex]

2) Simplify 7.4 + 0.1 to 7.5.

[tex] \frac{v}{22} = 7.5[/tex]

3) Multiply both sides by 22.

[tex]v = 7.5 \times 22[/tex]

4) Simplify 7.4 × 22 to 165.

[tex]v = 165[/tex]

Therefor, the answer is v = 165.

Answer:

566 ft

Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

-16 * 4 + 600 + 30

-64 + 630 = 566 ft

Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

Answer:

Cost of single pane = 11.75 / 5 = $2.35

Cost of 2 extra panes = 2*2.35 =$4. 7

Answer:

The cost for 2 more glass panes is $4.70

Step-by-step explanation:

1. Fist divide 11.75 by 5 to find out how much one pane costs, you should get 2.35.

2. Next multiply 2.35 by 2 to find out how much it is for 2 more glass panes.

Then you will get our answer ($4.70)

Answer: The volume is 10 cm^3

Step-by-step explanation:

We know that each cube is a centimeter cube.

This means that if L is the length of each side of one of these cubes, then L = 1cm

And we know that the volume of a cube of side length L is:

V =L^3

Then the volume of each of the small cubes is:

V = (1 cm)^3 = 1 cm^3

Now we just need to count the number of cubes in the prism.

We can see that there is a "T" shape.

in the front part, we can see 5 cubes.

And there is another part in the back, where we also can assume that there are 5 cubes.

Then the total number of cubes in the prism is 10

And each of these cubes is 1 cm^3

Then the volume of the prism is 10 times 1 cm^3

The volume of the prism is:

V = 10*(1 cm^3) = 10 cm^3

Answer:9

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

The statement is true is for any [tex]n\in \mathbb{N}[/tex].

Step-by-step explanation:

First, we check the identity for [tex]n = 1[/tex]:

[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]

[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]

[tex]1 = 1[/tex]

The statement is true for [tex]n = 1[/tex].

Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:

[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]

[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]

[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]

Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].

Answer:

A. True

B. False

Step-by-step explanation:

1: 30 + 10 = 40 and 8 x 5 = 40 (both match)

2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)

Answer:

1430

Step-by-step explanation:

Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.

Hence, we have 13C4.

Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.

Hence we have a 2C1

Therefore:

13C4 * 2C1

=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]

=> 13! ÷ [4! (9)!]

=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]

=> (10 x 11 x 12 x 13) ÷ 24

=> (17160 ÷ 24) * (24 ÷ 6)

=> 715

2! ÷ [1! (2-1)!]

=> 2

Hence, we have 715 * 2

=> 1430

Hence, in this case, the correct answer to the question is 1430

Answer:

Step-by-step explanation:

If we assume that the angle at A is 90 degrees.. which it does seem like it would be.  then use that the sum of the angles around the inside of a right triagle is 180 .   so  you have

180 = 37 + 90 + x

53° = x  

does that help?

Answer:

Step-by-step explanation:

First you need to calculate the entire length (in meters) of the metal used in the gate, then multiple the length by 2.5 kg per meter

Break it into parts.......

four pieces on along the outside is just the perimeter of a rectangle

         P = 2( L + H)        both sides and the top and bottom

the two crossing metal pieces are just the hypotenuse of a right triangle and since we have two pieces of metal

        a² + b² = c²     or   L² + H² = Hyp²          solving for the htpotenuse

                         Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]              

so the total length of the gate metal is

P = 2( L + H)    plus        2 Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]  

   = 2( 12 + 5)      +     2 [ √(12² + 5²) ]

   =       34          +   2 [ √( 144 + 25) ]

   =       34  +  2 ( √169)

   =       34 +  2( 13)

   =       34 + 26

   =     60 meters   of gate metal            metal weighs  2.5 kg per meter

  Total weight equals 60 meters   times    2.5 kg per meter

    Total weight = 60 (2.5)    =     150 kg

Answer:

the second chaise is the answer

Answer:

$2.5

Step-by-step explanation:

You divide 80 by 32 = 2.5

Hope this helps

Mark brainliest please

Answer:

2.50

Step-by-step explanation:

80/32

=2.50

divide 80 by 32 to get the cost per paintbrush

Answer:

5800 x 0.0135 = 78.3

78.3 x 3 =234.9

78.3/2 = 39.15

234.9 + 39.15 = 274.05

Your answer is 274.05

Step-by-step explanation:

Hope this helps!

Brian is expected to roll a number greater than 4, 4 times

In a fair die, we have:

Faces = 6

Faces greater than 4 = 2 i.e. 5 and 6

So, the probability to roll a number greater than 4 is:

p = 2/6

When the dice is rolled 12 times, the expected value is:

Expected = 2/6 * 12

Evaluate

Expected = 4

Hence, Brian is expected to roll a number greater than 4, 4 times

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Answer:

I believe (-7,3) is the answer

Step-by-step explanation:

Answer:

(-7,3)

count from the origin point to where underneath point b is and you have x but since it's on the positive side and you're flipping it make it negative

then count up from that point and you have y, since you're on the positive top half it stays positive

Answer:

i do my username is EenyMenyOreo

Step-by-step explanation:

Answer:

Yes... lol

Step-by-step explanation:

Why?

Add me: isaaclikesomone