if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?

The arc length of the sector will be 19.89 centimeters.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

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Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

30 x 23 = 690

23 x 30 = 690

Answer: 690

Step-by-step explanation:

Now whats 34+35?

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

Answer:

1300

Step-by-step explanation:

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

Learn more about Trigonometry here:

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Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.

Answer:

I have no clue

Step-by-step explanation:

HAHA

Answer:

Part A:  y = 3

Part B:  Area = 60 sq units

Step-by-step explanation:

we can create this system of equations from the information given:

8y + 2x = 34

10y + 2x = 40

now we can subtract to get:

-2y = -6

y = 3

solve for 'x':

8(3) + 2x = 34

24 + 2x = 34

2x = 10

x = 5

Area of Rectangle is 12 x 5

Answer:

Please see the explanation below for proof

Step-by-step explanation:

Probability of choosing black ball from the bag

[tex]\frac{b}{b+r}[/tex]

Probability of choosing red ball from the bag

[tex]\frac{r}{b+r}[/tex]

After the addition of c balls of correspondent color –  

P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]

P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]

B1 and B2 are mutually exclusive event

P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]

P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]

Hence, Proved

Answer:

YEET

Step-by-step explanation:

Answer:kuktf

Step-by-step explanation:

oh;f' 'h

'd5r6sxfh;jhp

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

Answer:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 18.15 miles

Step-by-step explanation:

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

Answer:

1,a. 224in

b. 240in

2,144ft

3,it is kind of hard I well try it on common if I can

Answer:

B

Step-by-step explanation:

B is      the onlyanwser that     has a number    that  both    9 and     24 are      multiplied by toget (2/3) (please excuse the  random spaces       my  space bar   is broken)

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Answer:

probably D

Step-by-step explanation:

Answer: 125

Step-by-step explanation:

25% of 100 = 25

25 + 100

125

Answer:

No the pay rates are not equivalent.

Step-by-step explanation:

Your pay rate per 8 hours is $56.

Your friends pay rate per 8 hours is $72.