How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answer:

[tex]S(n-1)=2^{n-2}[/tex]

Step-by-step explanation:

Given that,

The value of [tex]S_n=2^{n-1}[/tex]

We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,

[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]

Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].

9514 1404 393

Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

  3 in wide by (9+2+2) = 13 in tall

Its area is

  A = LW = (3 in)(13 in) = 39 in^2

__

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

  A = LW = (2 in)(9 in) = 18 in^2

__

The total net area is the sum of the areas of the parts:

  left rectangle + central rectangle + right rectangle

  = 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Finally, you have the bisector of the angle that is represented by the green line.

Learn more about the bisector of the angle here:

https://brainly.com/question/7288045

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:

Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.

Answer:

4 - 20 i

Step-by-step explanation:

you do stuff and you get 4 - 20 i

Answer:

Step-by-step explanation:

8x+9/x^2-13x+42

Write  8 x  as a fraction with denominator 1

8x+9/x^2-13x+42

then we multipuly 8x/1  by x^2/x^2

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

Answer:

B. x^2 + 1

Step-by-step explanation:

Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.

Answer:

C) f(x) = 6.25x + 3

Step-by-step explanation:

In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be

f(x) = 6.25x + 3

We can input the # of candies for x and see that it provides the exact results every time as seen in the table.

f(x) = 6.25(1) + 3 = 9.25

f(x) = 6.25(2) + 3 = 15.50

f(x) = 6.25(3) + 3 = 21.75

f(x) = 6.25(4) + 3 = 28

Answer:

1 = 61°

2 = 119°

3 = 61°

4 = 119°

5 = 119°

6 = 61°

7 = 119°

Step-by-step explanation:

∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.

∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.

∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.

∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.

∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.

∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.

∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.

The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Answer:

a=36

Step-by-step explanation:

a - 15 = 21

   +15    +15

a = 36

Answer:

[tex]2X10^{3}[/tex]

Step-by-step explanation:

Answer:

C. 3x + 6

Step-by-step explanation:

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =

= 3x + 6

Answer: C. 3x + 6

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

Step-by-step explanation:

what is the formula for the whole surface area of a sphere ?

[tex]a = 4 \times \pi \times {r}^{2} [/tex]

that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.

but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.

in radians the arc length of that angle segment on the "equator" of the sphere

s = r×Theta

and the whole equator circumference is

c = 2×pi×r

so, the Theta'th part is then

r×Theta / 2×pi×r = Theta / 2×pi

we only need that part of the whole sphere surface area, so the formula would look like

[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]

=>

[tex]lune = theta \times 2 \times {r}^{2} [/tex]

Answer:

Step-by-step explanation:

What is the meaning of Pemdas?

Meaning of each letter in Pemdas?

(ʋ◕ᴥ◕ʋ)

Answer:

B.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

6r + 6 - 4s

r = 7

s = 3

6(7) + 6 - 4(3)

42 + 6 - 12

(remember PEMDAS, adding/subtracting left to right)

48 - 12 = 36

therefore the answer is 36

hope this helps ! :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{6r + 6 - 4s}[/tex]

[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]

[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]

[tex]\large\textsf{6(7) = \bf 42}[/tex]

[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]

[tex]\large\textsf{42 + 6 = \bf 48}[/tex]

[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]

[tex]\large\textsf{4(3) = \bf 12}[/tex]

[tex]\large\textsf{48 - \bf 12}[/tex]

[tex]\large\textsf{= \bf 36}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

I think the answer is 75.

Step-by-step explanation:

because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

Answer:

I believe it is 29 cans of paint right?

Hope this helps

Answer:

The total length of fencing that Bethany will need is 21.5 feet.

Step-by-step explanation:

Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:

1 yard = 3 feet

2 yards = 6 feet

3/4 = 0.75

4.75 x 2 + 6 x 2 = X

9.5 + 12 = X

21.5 = X

Therefore, the total length of fencing that Bethany will need is 21.5 feet.

Answer: A

Step-by-step explanation:

Answer:

If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

:))

Answer:

P(x,y) reflection in x=y line:(y,x)

Answer:

70

Step-by-step explanation:

Answer:

y = 0.5 (2)^x

Step-by-step explanation:

3rd option

you can plug in a coordinate point like (2, 2) to check this.