A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?

A.$67.00
B.$58.50
C.$41.50
D.$33.00

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

first we need to sort the data points

14, 16, 16, 18, 20, 22, 34

median = 18

mode is the data point occurring most often.

mode = 16 (occurring 2 times, while the others occur only once).

range is the difference between the largest and the smallest data point.

range = 34 - 14 = 20

Answer:

130

Step-by-step explanation:

just multiply 65 by 2 and you get 130

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5} = 36[/tex]

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

Answer:

7.3 ft.

Step-by-step explanation:

The perimeter of a geometrical figure is calculated by adding all side lengths up:

The perimeter of the figure in question is 84.6 ft.

2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)

77,3 + ? = 84.6 subtract 77.3 from both sides

? = 7.3 is the length of the missing side

Answer: 100 °

Step-by-step explanation:

Answer:

(0,21)

Step-by-step explanation:

when you want to find the x intercept make y=0

to find the y intercept make x=0

Hope this helps Youuuuuuuu

Answer:

8 ≥ w > 4

Step-by-step explanation:

This says the w is greater or equal to 8 but it also says that w is greater than 4.

Answer:

8 ≥ w > 4

Step-by-step explanation:

Because 8 is greater than or equal to w, and w is greater than 4.

Answer:

B. 6

Step-by-step explanation:

So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6

Answer:

Both are 157 degrees

Step-by-step explanation:

A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.

Answer:

Step-by-step explanation:

Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

a +b = 180      {Linear pair}

23 + b = 180

       b = 180 - 23

b = 157°

c = b   {Vertically opposite angles are congruent}

c = 157°

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

Answer:

C. Narrower and the margin of error would decrease

The required, option b (wider and the margin of error would increase) is the correct answer.

In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.

Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.

This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.

Therefore, option b (wider and the margin of error would increase) is the correct answer.

Learn more about the margin of error here:

https://brainly.com/question/29419047

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Answer:

210 cm sq

Step-by-step explanation:

Area of a triangle is 1/2bh.

12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).

1/2*12*35=210 cm sq

As per linear equation, there are 372 more girls in school than boys.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant."

Given, there are 1970 pupils.

There are 799 boys in the school.

Therefore, the number of girls in the school is

[tex]= (1970-799)\\= 1171[/tex]

Therefore, the number of girls more than boys in the school is

[tex]= (1171-799)\\= 372[/tex]

In that school , there are 372 more girls than total number of the boys.

Learn more about linear equation here: https://brainly.com/question/11897796

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Answer:

Step-by-step explanation:

Solution :

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 2/3 x -2

So : product for two slopes = -1   means : m×2/3=-1

m = -3/2

now : y = -3/2 x+b

but this line :

through the point (6,6) : 6 =(-3/2)(6)+b....... b=15

conclusion :

the equation is : y = -3/2x +15

Answer:

b) Quad ABCD must be a rectangle and could be a rhombus

Step-by-step explanation:

:)

Answer: 31

Step-by-step explanation:

25+6 which equals the answer 31!

Answer:

-3/8

Step-by-step explanation:

Answer:

x = 88 -5y/2

Step-by-step explanation:

(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x

x = 180 - x - 4 -5y

x = 176 - x -5y

2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)

Answer:

The answer is [tex]13\pi[/tex] or 40.84

Step-by-step explanation:

We are given the diamater so

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{13}{2}[/tex]

[tex]r=6.5[/tex]

Formula for circumference.

Take note.

C = circumference

r = radius

[tex]C=2\pi r[/tex]

You want your answer in terms of Pi.

So we can write another equation.

[tex]2\pi r=\pi x[/tex]

x stands for the number in terms of Pi.

Now we can solve for x.

[tex]x=\frac{2\pi r}{\pi }[/tex]

Now lets plug in what we know.

[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]

[tex]x=13[/tex]

This equation is False.

5/6-(2/3-4/9) = 11/18

(5/6-2/3)-4 = -23/6

Showing two different answers, so no they are not equal.

Answer:

937.5

Step-by-step explanation:

Given:

75% of 1250

Note:

Of = Multiply

Solve:

75% × 1250

= 937.5

~Lenvy~

Answer:

937.5

Step-by-step explanation:

We Know That 75% Is Same As 75

100

So, You Start By Dividing That, Or Making The Calculation Together, You Say

[tex] \frac{75}{100} \times \frac{1250}1[/tex]

[tex]0.75 \times 1250[/tex]

[tex] = 937.5[/tex]

Answer:

r, p, q

Step-by-step explanation:

Answer:

#30 is 8.40   B)

#31 is R P Q  A)

Step-by-step explanation:

Step-by-step explanation:

answer is shown above, that is a tricky question though.

10/75=13.333333334 so around 66 people

you can also just divide 500 by 75 then take it times 10 :)

•••••••••••••••••••••••••••••••••••••••••••••••••••

2f + 14 3 + 7f - 10 5.

Simplify:

[tex] = (9f + 38)[/tex]

•••••••••••••••••••••••••••••••••••••••••••••••••••

#Carry on Learning

The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.

Distance is actually known as the amount of space between two points. When calculating speed, it is given as:

Speed = distance ÷ time

The spy's distance in t hours:

Distance = 60 × t = 60t.

The special agent's distance in t hours:

Distance = 90 × t = 90t

The distance between them will be =

Distance of special agent minus distance of the spy: 90t - 60t = 30t.

By the time the chase begins, the distance between the spy and special agent will be:

(2 × 60mph) - 0 = 120m - 0.

= 120m.

Time taken for the special agent to catch the spy: 120 + 60t = 90t

120 = 90t - 60t

120 = 30t

t = 120/30 = 4 hours.

Speed the special agent should chase the spy:

Distance = 240 miles

Time = 4 hours.

Then Speed = 240/4 = 60mph.

Learn more about speed on https://brainly.com/question/4931057

I'm assuming ratio of a to b is the remainder of the long division.