You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?

Answer:

A. [tex] log_{8}(64) = x[/tex]

Step-by-step explanation:

[tex] {8}^{x} = 64 \\ \\ \implies log_{8}(64) = x[/tex]

Answer:

a and c

Step-by-step explanation:

Answer: 92.5

So to find median all we have to do is rearange it from low - high and get the middle number

71  81  89  92  93  94  94  99

So take this and you know the middle is right in between 92 and 93

71  81  89  92      |      93  94  94  99

All you have to do then is take the mean of 92 and 93 (so do [92+93]/2)

Answer is 92.5

Ik this is late, but people who are looking for the answer can see this.

Answer:

an =1/3*6^n-1

Step-by-step explanation:

You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.

Example:

an = 1/3 * 6 ^n-1

Plug in 2.

an = 1/3 * 6 ^2-1

an = 1/3 * 6 ^1

1/3 * 6 = 2

Step 2.

an = 1/3 * 6 ^3-1

an = 1/3 * 6 ^2

1/3 * 36 = 12

Hope this helps.

The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a geometric sequence,

⇒ a₂ = 2, a₃ = 12 and a₄ = 72

Now, From option 3;

The equation is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Put n = 2

⇒ a (2) = 1/3 × 6²⁻¹

⇒ a (2) = 1/3 × 6

⇒ a (2) = 2

Hence, This is the correct equation which can be used to find the nth term of the sequence, an.

Thus, The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

A, The probability that it will rain is 0.09 and the probability that the flight will be delayed is 0.18.

Step-by-step explanation:

Answer: 0.154

Step-by-step explanation:

Answer:

its 62!

p-by-step explanation:

Answer:

62.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62

Answer:

18ft

Step-by-step explanation:

15+3=18

Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

Answer:

16

Step-by-step explanation:

60-44

The inequality is $40 + 4x < $60 and she has to spend 5 gigabytes to stay within her budget

Note that:  

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

The total amount Lily has to spend has to be less than $60

The total amount she can spend can be represented with this equation

Flat cost + variable cost < $60

Flat cost = $40

Variable cost = cost per gigabyte x gigabyte

$4 × x = $4x

$40 + 4x < $60

To solve for x, combine similar terms

$4x < $60 - $40

$4x < $20

x < 5

A similar question was solved here: https://brainly.com/question/24492243?referrer=searchResults

Answer:

the answer is I think 2/3

Fraction of boys brought lunch today is 16/25.

Here,

Given that:

The ratio of boys at certain school = 8/9

And 2/5 of boys brought lunch today

We have to find fraction of boys brought lunch today.

What is fraction?

Fractions denote the parts of a whole or collection of objects.

Now,

The ratio of boys at certain school = 8/9

And 2/5 of boys brought lunch today

Since, the ratio of boys 8/9 denotes 8 boys out of 9 students

Therefore, number of boys = 8

Thus, Fraction of boys brought lunch today = 8 x 2/5

                              = 16/25

To learn more about fraction visit:

https://brainly.com/question/20323470

#SPJ2

Answer:

Side x = 2.12132 = 3√2/2

Step-by-step explanation:

I used a triangle calculator to find side x

70% of the trip length, t, is 35 miles. Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

Answer:

2 laborers and 33 ops

Step-by-step explanation:

Given

Let:

L = Laborers

P = Ops

From the statements, we have:

[tex]L + P = 35[/tex] -- total people hired; and

[tex]140P + 100L = 4820[/tex] ---number of hirees

Required

Solve for L and P

Make L the subject in: [tex]L + P = 35[/tex]

[tex]L = 35 - P[/tex]

Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]

[tex]140P + 100(35 - P) = 4820[/tex]

[tex]140P + 3500 - 100P = 4820[/tex]

Collect like terms

[tex]140P - 100P = 4820 - 3500[/tex]

[tex]40P = 1320[/tex]

Solve for P

[tex]P = 1320/40[/tex]

[tex]P = 33[/tex]

Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]

[tex]L = 35 - 33[/tex]

[tex]L = 2[/tex]

Correction in the Question:

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

Answer:

The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].

Step-by-step explanation:

we are given

length of the two bases = 128m and 92m

height of the trapezoid = 40m

the approximate figure of the given trapezoid is given as:

             __ __ __ 92 __ __ _

          /  |               |  |                 \

       /     | 40         |4|                    \

    /__ _| __ __     |  |__ __ __ __ \

                           128

Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.

Area = [(92 + 128)/2] * 40

        = [220/2] * 40  

        = 110 * 40

        = 4400 [tex]m^2[/tex]

Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.  

Area of a rectangle = length * width

Area = 40 * 4

        = 160

Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is

4400 + (-160) = 4240 [tex]m^2[/tex].

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99

Answer:

20 x 4 = 60

Step-by-step explanation:

because it's says how many

Answer:

18 maybe

Step-by-step explanation:

it's either 20,19,or 18

but the secretary is the third to be elected so the answer is 18 maybe and if that doesn't work try one of the others trust me it's one of them.

hope this helps

Answer:

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

Step-by-step explanation:

Given:

Score of 37 with 107 minutes on social media.

Score of 41 with 73 minutes on social media.

The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).

Now we need to write the equation of a line that passes through these two points.

The two-point form of the equation of a line is:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].

[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]

[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]

[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]

[tex] 17y - 629 = -2x + 214 [/tex]

[tex] 17y = -2x + 843 [/tex]

[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

Answer:

The answer is 440

Step-by-step explanation:

I just took the test and got that question right

Answer: $20.25

Step-by-step explanation:

If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.

Hope this helps :)

Answer:

$535

Step-by-step explanation:

First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.

Answer:

Step-by-step explanation:

Sum of the interior angles of a regular polygon:

Pentagon has sum of angles:

Sum the given angles and find x:

Hexagon has sum of angles:

Sum the given angles and find x:

Answer:

I found 2 answers for this one

Step-by-step explanation:

B- 2,5,10

D-12,16,20

The possible length in inches of the stick that will make a right angle triangle are as follows

A right angle triangle has one of its angles as 90 degrees.

The right angle triangle must obeys the Pythagorean theorem.

c² = a² + b²

where

Therefore, the sides that makes a right angle are as follows:

6, 8 , 10 : 6² + 8² = 10²

12, 16, 20 : 12² + 16² = 20²

learn more on right triangle here: https://brainly.com/question/12251384

#SPJ2

Answer:

x=9 im pretty sure

Step-by-step explanation:

10 and -6                                  

.....................................................

Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Answer:

$8.75

Step-by-step explanation:

Cost price= $9.75

Selling price= $1.00

profit= C.P-.SP

= 9.75-1.00

= $8.75

Answer:

Let's define the variables:

x = number of small boxes bought.

y = number of large boxes bought.

Then the total number of granola bars is:

x*6 + y*24

We also know that "The camp bought 4 times as many small boxes as large boxes"

Then:

x = 4*y

and "...which altogether had 96 granola bars."

The total number of granola bars is 96, then:

x*6 + y*24 = 96

Then the system of equations is:

x = 4*y

x*6 + y*24 = 96

We want to solve this graphically.

Then we first need to isolate the same variable in both equations.

We can see that in the first one x is already isolated, so let's isolate x in the second equation:

x*6 = 96 - y*24

x = (96 - y*24)/6

x = 16 - y*4

Now we have the equations:

x = 4*y

x = 16 - y*4

To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.

The point where the lines intersect is the solution of the system.

The graph can be seen below.

We can see that the lines do intersect at the point (2, 8)

This means that the camp bought 2 large boxes and 8 small boxes.

Answer:

answer is 1

Step-by-step explanation: