The first term of a geometric sequence is 5 and the common ratio is 2 what is the fourth term of the sequence?

A: 40 B: 80 C:250 D:1250

Answer:

Option D is correct.

Step-by-step explanation:

EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Calculation for convertible car:

p = $28700

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $475.67

Calculation for sports car:

p = 29200

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $483.96

We can see that in both cases the EMI is below $490.

As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)

Therefore, option D is correct. Chuck can afford both the convertible and the sports car​.

Answer:

Number: 4153

Step-by-step explanation:

4153 - 738 = 3415

as we know the resulting number starts with 3 and is a 4 digit number so we fix 4 in the thousands position of original number. Subsequently we fix 4 in the hundredth position of the number after subtraction from  738

4_ _ 3 - 738 = 34_ _

now we have a 2 empty spaces and 9 number to choose from, start from the lowest .

4 1 0 3 - 738 = 3365 , 4 has to be in the hundredth position

we increment the middle numbers by four and then by 1 until we get our answer

4 1 4 3 - 738 = 3 4 0 5

4 1 5 3 - 738 = 3 4 1 5  --------- Answer

Answer:

754 ft^3

Step-by-step explanation:

r=4

h=15

v=pi(r^2)h

754 ft ^3 is the answer to your question

Answer:

the answer is 1,337

Step-by-step explanation:

I found this by multiplying 39 by 39, add 56 ,add 7,add 778,then subtract 908 to get 1,337

Step-by-step explanation:

2.5 : 2 = 1.25 per dozen

1.25 x 15 = 18.75

You know 15 odd number so first you will need time 2 1/2 by 7 and you know that make 14 dozens cookie so you need 17 1/2 cups of floor and you 2 1/2 is 2 dozens so divide by 2 you get 1 dozens so it 1 1/4

17 1/2 + 1 1/4 = 18 3/4

Total of 18 3/4 of cup of flours to make 15 dozens of cookie

Answer:

Step-by-step explanation:

This distribution is "unimodal" and "skewed right."

Answer:

Yoooo, I think we go to the same school! And the other person is correct

Step-by-step explanation:

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

3(c + 8) = 28

3c + 24 = 28

To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

3c = 4

Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 (c + 8) = 28

3 x c = 3c

3 x 8 = 24

3c + 24 = 28

3c + 24 - 24 = 28 - 24

3c = 4

3c/3 = 4/3

C = 4/3

Answer:

Step-by-step explanation:

Triangles JKN MLN are similar.

There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.

Find JN

JK = 3

LM = 9

JK/LM = JN/(20 - JN)

3/9 = JN/(20 - JN)

1/3 = JN/(20 - JN)

20 - JN = 3JN

20 = 4JN

JN = 5

NM = 20 - 5

NM = 15

Find KN

KN^2 = JN^2 + JK^2

JK = 3

JN = 5

KN = ?

KN^2 = JK^2 + JN^2

KN^2 = 3^2 + 5^2

KN^2 = 34

KN = sqrt(34)

=============

Find LN

LN = ?

MN = 15

LM = 9

LN = sqrt(15^2 + 9^2)

LN = sqrt(306)

LN = 3*sqrt(34)

Find LK

LK = sqrt(34) + 3sqrt(34)

LK = 4 sqrt(34)

Answer:32 black

6 white long sleeve shirts

Step-by-step explanation:

62+6=68

100-68=32

Answer:

Step-by-step explanation:

Since out of 62 who preferred short- sleeved shirts, half were white and half were white.

So members who preferred black and white short sleeved T- shirts = [tex]\frac{62}{2}[/tex] = 31 each

Since members who liked white T-shirts = 37

So members who preferred long sleeved white T-shirts = 100 - (37+31) = 32

Therefore, the table formed will be

                         Short-sleeved          Long sleeved            Total

Black                         31                             32                        63

White                         31                               6                         37

Total                          62                             38                        100

ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

[tex]x = 4t + 3[/tex]

and

[tex]y = 5 {t}^{2} [/tex]

We make t the subject in the first equation to get:

[tex]t = \frac{x - 3}{4} [/tex]

We put this into the second equation to get;

[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]

When x=-1,

[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]

Therefore (-1,5) lies on this line.

When x=7,

[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]

Therefore (7,5) also lie on this line.

Answer: 1: 3mm

Answer:2: A rectangle with 4 congruent sides is a square.

A = s^2

s^2 = A

s^2 = 36 mm^2

s = sqrt(36 mm^2)

s = 6 mm

Step-by-step explanation:

Part A. The length of the rectangle is 3 m.

Part B. The length of the single side of the rectangle or square is 6 mm.

The area of a rectangle is defined as the total surface area obtained by multiplying its length and width.

Part A

Given that the area of a rectangle is 60 square meters and the width of the rectangle is 20 m. The length of the rectangle will be given below.

[tex]a = l\times w[/tex]

Where a is the area of the rectangle, l is the length and w is the width of the rectangle.

[tex]60 = l\times 20[/tex]

[tex]l = \dfrac {60}{20}[/tex]

[tex]l = 3\;\rm m[/tex]

Thus the length of the rectangle is 3 m.

Part B.

A rectangle has equal sides and area of 36 square mm. Thus the rectangle will be a sqaure. The area of the square is the product of 2 sides.

[tex]a = s^2[/tex]

Where a is the area of the square and s is the side of the square.

[tex]36 = s^2[/tex]

[tex]s = \sqrt{36}[/tex]

[tex]s = 6 \;\rm mm[/tex]

Hence the length of the single side of the rectangle or square is 6 mm.

To know more about the area of a rectangle, follow the link given below.

https://brainly.com/question/14383947.

Here Is A Standard Multiplication Chart

Answer:

The required chart is shown below:

Step-by-step explanation:

Multiplication is also called repeated addition.

Using a multiplication chart or time table, a simple way to do the daily calculations is.

A multiplication graph is a table showing two-number products. One set of numbers is typically written in the left column and another set is written in the top row. The goods are represented as numbers in a rectangular array.

The required chart is shown below:

Answer:0.139 moles

Step-by-step explanation:

moles =[tex]\frac{mass}{Mr}[/tex]

NOTE: molecular mass of silver is 107.8682

n= [tex]\frac{15}{107.8682}[/tex]

this will give you the final answer of

n= 0.139 moles OR 0.14 moles

Final answer:

To find the number of moles in 15 grams of silver, divide the mass by the molar mass of silver (107.87 g/mol). The result is approximately 0.139 moles of silver.

Explanation:

To find the number of moles in 15 grams of silver, we can use the molar mass of silver. First, the molar mass of silver (Ag) is 107.87 grams per mole, which is the mass of one mole of silver.

We can calculate the number of moles of silver using the formula:

Number of moles = Mass of the substance (in grams) / Molar mass of the substance (in grams per mole)

So, for silver:

Number of moles = 15 grams / 107.87 grams/mole

When we perform this calculation:

Number of moles = 0.139 moles (rounded to three decimal places)

Therefore, there are approximately 0.139 moles of silver in 15 grams of the metal.

Answer:

C) (25, -16), r = 10

Step-by-step explanation:

The equation of a circle: (x - w)² + (y - h)² = r², where (w, h) is the coordinate of the center, and r is the radius of the circle.

w = 25, h = -16, r = √100 = 10

So, the coordinate is (25, -16), and the radius is 10 units.

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 25)² + (y + 16)² = 100 ← is in standard form

with (h, k) = (25, - 16) ← centre and r = [tex]\sqrt{100}[/tex] = 10

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think the answer maybe 7

Answer:

the answer is D:  the median of both the dot plot A and B is the same

Step-by-step explanation:

median is the middle value; after arranging the data in ascending or descending order...the mean of the two values is an even # of values

The median of dot plot A and median of dot plot B is 5; so therefore, the pots A and B are the same.

Answer:

the median of both thedot plots A and B is the same.

Step-by-step explanation:

The median is the middle value after arranging the data in an ascending or descending order, or the mean of the two middle values if there is an even number of values.

The median of dot plot A and the median of dot plot B is 5.

Therefore, the median of both thedot plots A and B is the same.

There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

To solve the inequality [tex]\(3n^2 - 4 \leq 44\)[/tex], follow these steps:

1. Add 4 to both sides of the inequality:

  [tex]\[ 3n^2 \leq 48 \][/tex]

2. Divide both sides by 3:

  [tex]\[ n^2 \leq 16 \][/tex]

3. Take the square root of both sides. Remember to consider both the positive and negative square roots since [tex]\(n^2\)[/tex] can be positive or negative:

  [tex]\[ |n| \leq 4 \][/tex]

This inequality implies that [tex]\(n\)[/tex] must be within the interval [tex]\([-4, 4]\)[/tex] inclusive.

Now, count the integers within this interval: [tex]\(-4, -3, -2, -1, 0, 1, 2, 3, 4\)[/tex]. There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

The probable question may be:

"How many integers [tex]$n$[/tex] satisfy the inequality [tex]$3n^2 - 4 \le 44$[/tex]?"

Answer:

b

Step-by-step explanation:

Answer:

B.There is a weak negative association.

Step-by-step explanation:

Answer:

The skier would have to to go 4 times for the season pass to be cheaper than the day stump.

Step-by-step explanation:

This is because the day pass is $103, including ski rentals. $103 times 4 is 412.    Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.

Answer:

AB = 16

Step-by-step explanation:

The perimeter is the sum of all 5 sides of the pentagon

Sum the 5 sides, equate to 69 and solve for x

12 + 3x + 10 + x + 3 + 2x + 2 = 69

6x + 27 = 69 ( subtract 27 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

AB = 2x + 2 = (2 × 7) + 2 = 14 + 2 = 16

The third one cuz (0,1) is a point then you go down 3 over one

Graph 2 is the graph that represents the linear function y = –3x + 1

Points on graph 2 are (0,1) (-1,4) (1,-2)

Substitute the points in the linear function

(0,1)

y = –3x + 1

y = -3*0 +1

y = 1

(0,1) is correct point

(1,-2)

y = –3x + 1

y = -3 * 1 + 1

y = -3 +1

y = -2

(1,-2) is the correct point

Therefore, graph 2 is the correct answer

To learn how to graph a linear equation, refer :

https://brainly.com/question/12730571

#SPJ2

Question 7: $3945

78,900÷100×5= 3,945

or 789,00×0.05= $3,945

Question 8: I think it may be $675.46 ( but I'm not sure)

$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12

$1010÷12= $84.20

also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.

$938÷12=$78.20

and in order to find out her combined monthly payment we need to add them all together

$513.12+$84.16+$78.16= $675.46

Question 9: is False

Question 10: I don't know

Hope this helps

Answer:

C

Step-by-step explanation:

First, write 4 ½ in improper form.  2 × 4 + 1 = 9. So the fraction is 9/2.

Now divide:

9/2 ÷ 1/3

To divide by a fraction, multiply by the reciprocal:

9/2 × 3/1

27/2

13 1/2

Answer C.

Answer:

2x² - 4x

Step-by-step explanation:

Subtract the known binomial from the sum to obtain the other binomial

5x² - 6x - (3x² - 2x)

= 5x² - 6x - 3x² + 2x

= 2x² - 4x ← the other binomial

The domain is x-values that work in the equation, and in this case, the domain is all real numbers, as any number you put in will give you a number back out.

Answer:

All real numbers

Step-by-step explanation:

The domain is every value you can put in for x, and since you are able to put in any real number, the domain is all real numbers.

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

That is the x- coordinate remains the same while sign of the y- coordinate changes.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x,y) the x-value and y-value.

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

The coordinates change The x-coordinates will stay the same.

A set of values that show an exact position. On graphs it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

Example: the point (12,5) is 12 units along, and 5 units up.

To learn more about coordinates, refer

https://brainly.com/question/4192910

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Answer:

8 1/2

Step-by-step explanation:

3/4 - 1/4 = 2/4 = 1/2

16 - 8 = 8

8 + 1/2 = 8 1/2

Answer:

-7

Step-by-step explanation:

When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).  

hence you will get the remainder by putting the 2 as value of x:  

f(x) = -3x² + 7x - 9

f(2) = -3(2)² +7(2) - 9

      = -3(4) + 14 - 9

      = -12 + 5

remainder = -7

Final answer:

When substituting x with 2 in the polynomial -3x² + 7x - 9, you simply evaluate it directly. The calculation gives -3(2²) + 7(2) - 9, resulting in a remainder of -7.

Explanation:

To find the remainder when a polynomial is divided by a monomial like x - 2, you can use synthetic division. However, you have asked about the division of -3x² + 7x - 9 by 2, which is actually a simple polynomial evaluation, not a division problem. We will substitute x with 2 in the polynomial and find the remainder.

The polynomial is -3x² + 7x - 9. To find the remainder when we substitute x = 2, we evaluate the polynomial:

-3(2)2 + 7(2) - 9 = -3(4) + 14 - 9 = -12 + 14 - 9 = 2 - 9 = -7.

Therefore, the remainder when 2 is substituted into the polynomial -3x² + 7x - 9 is -7.

It will take the turkey 2 hours to cook

Answer:

if a 12 pound turkey takes 4 hours a 14 pound turkey would take around 6 hours

Step-by-step explanation:

x^2-5x-36 =0

=》(×+4)(x-9) =0

=》 x = 9 or -4

positive solution for x is 9

For this case we must find the positive solution of the following quadratic equation:

[tex]x ^ 2-5x-36 = 0[/tex]

To find the solutions we factor, that is, we look for two numbers that when multiplied give as result -36 and when summed give as result -5.

These are:

-9 and +4

[tex]-9 * 4 = -36\\-9 + 4 = -5[/tex]

So, we have:

[tex](x-9) (x + 4) = 0[/tex]

The roots are:

[tex]x_ {1} = 9\\x_ {2} = - 4[/tex]

The positive solution is 9.

Answer:

9