Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 every month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?

Answer:

Step-by-step explanation:

[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]

Answer:

a3= -343

divade both side by 3 to make a the subject

a3/3= -343/3

a = -114.3

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

the answer is 35 people

b

r

a

i

N

L

Y

B

Y

P

A

S

S

Answer:

Center: (4, -6)

Radius: 2

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r = radius

Step 1: Write out equation

(x - 4)² + (y + 6)³ = 4

Step 2: Identify variables

h = 4

k = -6

r² = 4

Step 3: Find answers

Center = (4, -6)

√r² = √4

r = 2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{5m + 3m - 8 = 64}[/tex]

Collect like terms

⇒[tex] \sf{8m - 8 = 64}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{8m = 64 + 8}[/tex]

Add the numbers

⇒[tex] \sf{8m = 72}[/tex]

Divide both sides of the equation by 8

⇒[tex] \sf{ \frac{8m}{8} = \frac{72}{8} }[/tex]

Calculate

⇒[tex] \sf{m = 9}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{m=9}[/tex]

Step-by-step explanation:

[tex]5m + 3m - 8 = 64[/tex]

Combining like terms.

[tex]8m - 8 = 64[/tex]

Adding 8 to both sides.

[tex]8m=72[/tex]

Dividing both sides by 8.

[tex]m=9[/tex]

Answer:

Option (3)

Step-by-step explanation:

If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.

Given complex number is (-3 + 2i )

Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.

Option (3) will be the answer.

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  （＾▽＾）

Answer:

9.5

Step-by-step explanation:

The formula for interquartile range = Third Quartile - 1st Quartile

= Q3 - Q1

Looking at the histogram given, the class width = 6

Step 1

We find the number of values = n

n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1

= 123

Frequency Cumulative Frequency

1 1

12 13

26 39

27 66

31 97

19 116

6 122

1 123

Step 2

We find Q1 ( First Quartile)

Q1 =1/4 (n + 1) value

Q1 = 1/4(124) value

= 31st value

The first Quartile = 31st value

31 - 13 = 18

31st value = 12 + (18/26 × class width)

= 12 +( 18/26 × 6)

First Quartile = 16.153846154

Third Quartile =Q3 =3/4 (n + 1) value

Q1 = 3/4(124) value

= 93rd value

The first Quartile = 93rd value

93 - 66 = 27

93rd value = 1 + (27/97 × class width)

=24 +( 27/97 × 6)

Third Quartile= 25.670103093

Interquartile range = Q3 - Q1

= 25.670103093 - 16.153846154

= 9.5162569392

Approximately = 9.5

Inter Quartile range = 9.5

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]

Hence,

Base = [tex]3\sqrt{5} \ cm[/tex]

Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]

Hyoptenuse = 15 cm (given)

Answer:

y = 2x+1

Step-by-step explanation:

[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

[tex](y - y1) = m1(x - x1)[/tex]

Keeping values,

[tex](y - 3) = m1(x - 1)[/tex]

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex] = \frac{ - 4}{ - 2} [/tex]

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Answer:

m1 - 120

m2 - 60

m3 - 60

m4 - 60

m5 - 30

A triangle is 180 degrees. An equilateral triange's angles are all the same.

Answer:

c

Step-by-step explanation:

Answer:

A.25

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Turn 2 out of 10 into a percentage.

[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

Read more about probability at:

https://brainly.com/question/8217340

#SPJ2

In the data set below, what is the variance?

6 7 2 1 8 29

s^ 2  ≈  105.368

Answer:

30.39in^2 (^2 means squared)

Step-by-step explanation:

3 x 3 = 9in^2

3.1 x 6.9 =21.39in^2

9 + 21.39 = 30.39in^2

Answer:

You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

Step-by-step explanation:

(-2y)^4

= (-2) ^4 ( y) ^4

= (16) (yyyy)

= 16yyyy

Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.

Answer:

35,012,129 > 35,011,129

Answer:

>

Step-by-step explanation:

everything is the same but the 12 and 11

Answer:

D

Step-by-step explanation:

The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,

Answer:

[tex]\Huge \boxed{\mathrm{D}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

[tex]\rule[225]{225}{2}[/tex]

Answer:

The answer is 10/3.

Step-by-step explanation:

Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .

What is t when their positions are the same?

50 + 50t = 65t

50 = 65t - 50t

50 = 15t

50/15 = t

10/3 = t

t = 10/3.

Answer: a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4×4×3=48

4 comes out.

a - never comes out of radical and stays in the radical with 3.

the simplest way I could explain

Answer: OPTION 3

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)=√-1

-----------------------------------------------

√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.

√16=4 ⇔ This is a perfect square

√3=√3 ⇔ Nothing to change

√-1=i ⇔ imaginary number as mentioned before.

√-48=√16 × √3 × √-1

√-48=4 × √3 × i

√-48=4i√3

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, - 5) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

Answer:

no solution

Step-by-step explanation:

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

2 x + 1 = x − 1

Solve for  

x .

x = − 2

Exclude the solutions that do not make  

log ( 2x + 1 ) = log

( x − 1 )  true.

No solution