please explain every step

Please Explain Every Step

Answers

Answer 1
Answer:

761680

Explanation:

[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

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

[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]

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

Solving Steps:

[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]

[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]

[tex]\rightarrow \sf 761679.5808[/tex]

[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]


Related Questions

Write an equation for the line that has a slope of -2/3 and goes through the point (-6,8)

Answers

Answer:

The solution is in the image

Answer:

y = (-2/3)x + 4

Step-by-step explanation:

the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.

so,

y = (-2/3)x + b

to find b we plug in the values of x and y given by the point (-6,8)

8 = 4 + b

b = 4

so y = (-2/3)x + 4

What is the value of y in the solution to the system of equations?
x+y=1
2x - 3y = -30
O-8
O-3
O 3
08

Answers

Answer:

y=6.4

Step-by-step explanation:

The solution is in the image

The system of equations are solved and the value of y = 32/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + y = 1   be equation (1)

2x - 3y = -30   be equation (2)

Multiply equation (1) by 2 , we get

2x + 2y = 2   be equation (3)

Subtracting equation (2) from equation (3) , we get

5y = 32

Divide by 5 on both sides , we get

y = 32/5

Hence , the equation is solved and y = 32/5

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10% of 2100 is 210
Work out 43% of 2100

Answers

Answer:

43÷100*2100=903

Step-by-step explanation:

43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.

0,43 multiply by 2100 because we need a cost.

Find the circumference,
18 ft

Answers

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

if the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?

Answers

Answer:

[tex]3\sqrt5[/tex]

Step-by-step explanation:

The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

so, [tex]3^2+6^2=c^2[/tex]

9 + 36 = 45

[tex]\sqrt45=\sqrt{c^2}[/tex]

c = [tex]3\sqrt5[/tex]

9x^2+4y÷z when x=2/3, y=3, and z=6

Answers

Answer: 6

Explanation: Fill in the variables with numbers.
9(2/3)^2 + 4(3) divide 6

Use PEMDAS.

Answer:

6

Step-by-step explanation:

[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]

PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST

Answers

Answer:

For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm

For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2

The formula to find the circumference is 2*pi*r

r = radius, which can be determined simply by taking the diameter, and dividing it by 2.

Answer:

See below ~

Step-by-step explanation:

Circle 1 :

Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cm

Circle 2 :

Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cm

A triangle has sides with lengths of 31 feet, 72 feet, and 78 feet. Is it a right triangle?
yes
no

Answers

Answer:  No

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

Explanation:

We have a triangle with these side lengths

a = 31b = 72c = 78

The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.

Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.

[tex]a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\[/tex]

We have a false statement at the end, which means the original equation is false for those a,b,c values.

Therefore, we do not have a right triangle.

Instead, this triangle is acute since the [tex]a^2+b^2[/tex] side is larger than the [tex]c^2[/tex] side

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

Rules to have in your notebook or on a reference sheet:

[tex]\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\[/tex]

For more information, check out the converse of the pythagorean theorem.

A right prism has a rectangular base. The length is 5ft, width is 2ft, and its height is 10ft.
What is the volume of the prism?

ft³

Answers

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

Surface area of a rectangular prism:Area = 2lw + 2lh + 2wh

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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L=5ftB=2ftH=10ft

Volume

LBH5(2)(10)10²100ft³

can you pleas help this is a math question

Answers

Answer:

10.5 baskets

Step-by-step explanation:

The median is the middle value, but for this one just add the two in the middle and divide by 2.

4+3 = 7

Each ball is 3 baskets

7×3 = 21

21/2 = 10.5

Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

A. 3x^2(x^8-16)

B. 3x^2(x^4+4)(x^4-4) = 3x^2(x^4+4)(x^2+2)(x^-2)

Where can i revise for my end of year maths assessment

Answers

Answer:

Huh??

where on brainly

Step-by-step explanation:

question 7. evaluate the expression

Answers

[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]

Answer:

-3

Step-by-step explanation:

Using PEMDAS :

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Exponent (in Parentheses)

(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7

Multiplication (in Parentheses)

(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7

Subtraction (In Parentheses)

(27 - 48) ÷ 7-21 ÷ 7

Division

-21 ÷ 7-3

Put this equation into slope-
intercept form.
5x – 4y = 12

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

(3x + 1) + 8 (2x - 3) = 4 (3x -1) -7 (x -4) ayúdenme

Answers

Step-by-step explanation:

[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]

Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.

Answers

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

What is scale factor?

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

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Does the graph show a linear function?

Answers

DOES THE GRAPH SHOW A LINEAR FUNCTION?

[tex] \sf \large \color{grey}{YES IT SHOWS A GRAPHIC LINEAR}[/tex]

Answer:

yeah, cuz it's a line that's straight

The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.

Answers

The answer is 28.09 g. I hope this helped.

Answer:
The answer is 4.2 g

A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.

Answers

I think 7/2 im not definate

Evaluate the expression is 4*3^z when c is 2

Answers

Hey there!

ASSUMING….

4 * 3^c

= 4 * 3^2

= 4 * 3 * 3

= 12 * 3

≈ 12 + 12 + 12

≈ 24 + 12

= 36


Therefore, the answer should be: 36


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 13 child tickets for a total of $111. The school took in $156 on the second day by selling 12 senior citizen tickets and 9 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answers

The price of one senior citizen ticket is $7 and the price of one child ticket is $8.

What are the linear equations that represent this question?

s + 13c = 111 equation 1

12s + 9c = 156 equation 2

Where:

c = price of one child ticket s = price of one senior citizen ticket

What is the price of one children's ticket?

Multiply equation 1 by 12

12s + 156c = 1332 equation 3

Subtract equation 2 from equation 3

1176 = 157c

c = $8

What is the price of one senior citizen's ticket?

Substitute for c in equation 1:

s + 13(8) = 111

s = 111 - 104

s = $7

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Will mark brainlist to whoever answers first

Answers

Answer:

the answer is (6,5) pls mark brainest

Answer:

The answer is D.) (6,5)

Step-by-step explanation:

When the first point goes right, you add it, and when the second point goes down, you subtract it

Write a formula for function h in terms of function f.

Answers

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

y = f(x) (-6, 11)

⬇️ ⬇️

y - h(x) (6, 7)

so h(x) = f(x - 12) - 4

Hope this helps and have a nice day

Please Help if you can.

Answers

Answer:

6.28 meters

Step-by-step explanation:

Circumference is D[tex]\pi[/tex]

D=2 meters

2*3.14 = 6.28

The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t (t) = startfraction 4 t over t squared 1 endfraction, where t represents time elapsed. what is the meaning of the horizontal asymptote for this function?

Answers

The person's body temperature will approach 98.6ºF as time lapses,  The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

What is horizontal asymptote?

A horizontal asymptote is  known to be that line that is  horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.

Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.

See full question below

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.

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if sally drives to work 25% faster than she did yesterday, what would be her

percentage decrease in the time it takes her to get to work

Answers

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

An isosceles triangle has an angle that measures 58°. What measures are possible for the other two angles? Choose all that apply.

Answers

Answer:

it's probably 58 and 64 just a random guess but I think all triangles add up to 180

Solve this questiion please asap

Answers

Answer:

Y=3

Step-by-step explanation:

please mark brainliest

Answer:

Y = 3

If you need me to explain it step by step lmk.

Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill?​

Answers

Answer:

6

Step-by-step explanation:

When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.

Answers

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

It can be represented:

≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

Kavinsky

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