a
Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?

Answers

Answer 1

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

This scenario can be modeled as a geometric series.

From the information given:

[tex]a[/tex] (initial term) = 8 (miles)[tex]r[/tex] (common ratio) = 1.05 (as number of miles increases by 5% each week)[tex]n[/tex] = 19 (as the plan is for 19 weeks)

The formula for the sum of the first n terms of a geometric series is:

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

Therefore, the sum of the first 19 terms is:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

Solution

244 miles (to the nearest whole number)

Answer 2
First term=a=8miCommon ratio=(100+5)% =105%=1.05 weeks=n=19

So

It's a GP

we need Sum

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]


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Answer:E Sin 16= opposite side/hypotenuse =7/15

Step-by-step explanation: opposite side to the angle used/ hypotenuse.

PLEASEEE HELP !!!!!!!!!!!

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Answer:

22√3.

Step-by-step explanation:

The perimeter is the sum of the lengths of the 3 sides,

= 5√3 + 3√27 + 4√12

= 5√3 + 3*√9√3 + 4√4√3

=  5√3 + 3*3√3 + 4*2√3

= 5√3 + 9√3  + 8√3

=  22√3.

A cylindrical tank whose diameter and height are 2.1m and 4m respectively is filled with water whose density is 1g/cm^3.calculate the mass of the water in kg.​

Answers

Step-by-step explanation:

I assume it means the task is filled completely.

diameter = 2.1 m

therefore, radius = diameter/2 = 2.1/2 = 1.05 m

height = 4 m

volume of a cylinder is

ground area × height, so

pi×r² × height = pi×1.05²×4 = 13.8544236... m³

1 cm³ is 1g

for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).

how many cm³ are in 13.8544236... m³ ?

1 m = 100 cm

1 m² = 1 m × 1 m = 100×100 = 10,000 cm²

1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³

that means a factor of 1,000,000 !

so, the volume of the cylinder is

13.8544236... × 1,000,000 = 13,854,423.6... cm³

to get the mass of kg of that much water we need now to divide by 1000 :

13,854,423.6... / 1000 = 13,854.4236... kg

which is, by the way, 13.8544236... tons.

yes, 1 m³ of water is 1 ton ...

I don't know, if you need to round the result.

if you e.g. only need full kg, then the answer would be

13,854 kg.

What will be the coordinates of point A after a reflection across the x-axis?



A
(6,−2)

B
(6,−5)

C
(−1,5)

D
(−6,5)

Answers

Answer:

OPTION B

Step-by-step explanation:

(6,-5)

I HOPE IT HELPED YOU

PLEASE HELP ASAP:)!!



Zachary's cornfields are irrigated in circular regions. Zachary records data on the corn production from various irrigated circular regions,

Radius (ft)

500

1,000

1,500

2,000

2. 500

Bushels of Corn

2,705

10,818

24 341

43,273

67,613

What type of function best models the given data set?

A constant

B. Exponential

C. Linear

D. Quadratic

Answers

Answer:

Quadratic

Step-by-step explanation:

2705/500 = 5.41
10,818/1000 = 10.818
24 341/1,500 =24.227

43,273/2000 = 21.6365
67,613/2500 = 27.0452

Rate of change changes

Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42​

Answers

$10.72
Because Trent bought four pounds, you would multiply $2.68 times 4.

What is the length of leg s of the triangle below?

Answers

Answer:

[tex]\bf F.\;8[/tex]

Step-by-step explanation:

[tex]\bf Sin (45^o)=\cfrac{5}{8\sqrt{2} }[/tex]

[tex]\bf \cfrac{1}{\sqrt{2} } =\cfrac{S}{8\sqrt{2} }[/tex]

[tex]\bf S=\cfrac{8\sqrt{2} }{\sqrt{2} }[/tex]

Cancel common factor:- √(2)

[tex]\bf S=8[/tex]

Therefore, your answer is f) 8.

Susana is with a mobile phone provider that charges $0.27 per minute plus a connection fee of $0.20. How much will she be charged for a
call that lasts b minutes?

Answers

Answer:

The total monthly charge if one uses 769 minutes is $68.65

Step-by-step explanation:

Example:  If we are at x = 310, y = 45.50 and we use one more

               minute, x goes up by 1, y increases by .05, putting us

               at x = 311, y = 45.55.  Thus, usage of 311 minutes

               incurs a monthly cost of $45.55.

The y intercept is the point where x = 0.

That point on our equation is (0, 30)

This means that if zero minutes are used during the month,

the total charge for the month will be $30... the flat fee.

c)  Find total monthly cost for using 769 minutes

y = .05x + 30

y = .05(769) + 30

y = 38.45 + 30

y = $68.65

George works at Whataburger. He makes $8. 50 per hour and works a maximum of 25

hours per week. The equation e = 8. 50h can be used to determine the amount of money,

e, that George earns after h hours worked. What is the domain and range that represents

this situation?

A Domain: 0 Shs 25

Range: 0 ses 212. 50

B Domain: Oshs 212. 50

Range: 0 ses 25

C Domain: 8. 50 Range: 0 ses 212. 50

D Domain: Oshs 8. 50

Range: 0 ses 212. 50

Answers

Answer:

200 should be

Step-by-step explanation: mhm yes yes

The volume of a box that measures 3cm x 3 cm x 2 cm is:​

Answers

Answer:

18 cm cubed (cm^3)

Step-by-step explanation:

2 x 3 x 3

Answer: 18 cm (cubed)

Step-by-step explanation: Volume of a cube or box -

Length x Width x Height = 3x3x2

PLS HELP FAST!!
What is the mean of this data set?

3, 5, 10, 11, 15

Answers

Answer:

8.8

Step-by-step explanation:

To find mean, add all of the numbers together, then divide that sum by how many numbers there are.

3 + 5 + 10 + 11 + 15 = 44

44 ÷ 5 = 8.8

hope this helps!

Step-by-step explanation:

3+5+10+11+15÷5=

44 divided by 5 which gives 8.4

therefore that is the mean hope this helps

URGENTLY NEEDING HELP!!!!

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Answer:

(6,-1)

Step-by-step explanation:

it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).

not sure

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EXPLAIN why or why not.

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Answer:

The graph is not a line of best fit as there are not an equal number of data points on each side of the line

Step-by-step explanation:

Brainliest would be appreciated

Which of the following is a possible equation of a parabola. Explain why.

Answers

Answer:

the answer is C

because for an equation to be an equation of a parabola, the coefficient of x^2 and y^2 has to be 1

How many 15° angles are in a circle?
Enter your answer in the box.
angles

Answers

Answer:

24

Step-by-step explanation:

a circle is 360

we can divide 360 by 15

360 divided by 15 =

24

Find the measure of angle B.

A. 56°
B. 62°
C. 75°
D. 68°

Answers

Answer:

56

Step-by-step explanation:

for triangles, you have to have a total of 180 degrees also triangles have the same degrees every time

what is the solution to the exponential equation (½)x = 32

Answers

Answer:

Step-by-step explanation:

log(1/2) (32) =x

Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)

Answers

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

How to find the factors of a quadratic expression?

If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex]

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

[tex]x^2 -7x + 10[/tex]

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

[tex]x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)[/tex]

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

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simplify 2 + 5(1 + 8n)

Answers

Answer:

7+40n

Step-by-step explanation:

distribute 5 and get 5=40n then add the extra 2 for the awnser of 7=40n

Answer:

7+40n

Step-by-step explanation:

expand 5(1+8n)= 5+40n=

2+5+40n

= 7+40n

What is the value of x?



Enter your answer in the box.

Answers

Answer:

its c

Step-by-step explanation:

KADS, Inc. Has spent $400,000 on research to develop a new computer game. The firm is planning to spend $200,000 on a machine to produce the new game. Shipping and installation costs of the machine will be capitalized and depreciated; they total $50,000. The machine has an expected life of three years, a $75,000 estimated resale value, and falls under the MACRS 7-year class life. Revenue from the new game is expected to be $600,000 per year, with costs of $250,000 per year. The firm has a tax rate of 35 percent, an opportunity cost of capital of 15 percent, and it expects net working capital to increase by $100,000 at the beginning of the project.


What will the cash flows for this project be? (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. )

Answers

The cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).

To calculate the cash flows for this project, we need to consider the initial investment, operating cash flows, and terminal cash flows over the project's life.

Initial Investment:

Research and development cost: -$400,000

Machine cost: -$200,000

Shipping and installation cost: -$50,000

Net working capital increase: -$100,000

Total Initial Investment: -($400,000 + $200,000 + $50,000 + $100,000) = -$750,000

Operating Cash Flows:

The operating cash flows include revenue, costs, and depreciation for each year.

Revenue: $600,000 per year

Costs: $250,000 per year

Depreciation: Calculated using MACRS depreciation method for 7-year class life.

Year 1:

Depreciation: $200,000 (rounded to the nearest dollar) [MACRS depreciation for Year 1]

Operating Cash Flow: $600,000 - $250,000 - $200,000 = $150,000

Year 2:

Depreciation: $320,000 (rounded to the nearest dollar) [MACRS depreciation for Year 2]

Operating Cash Flow: $600,000 - $250,000 - $320,000 = $30,000

Year 3:

Depreciation: $192,000 (rounded to the nearest dollar) [MACRS depreciation for Year 3]

Operating Cash Flow: $600,000 - $250,000 - $192,000 = $158,000

Terminal Cash Flows:

Terminal cash flow includes the salvage value of the machine and the tax effect of selling the machine.

Salvage Value: $75,000

Tax Effect of Salvage Value: Taxable gain or loss on the sale of the machine = (Selling price - Book value)

Book Value: Accumulated depreciation at the end of Year 3 = $200,000 + $320,000 + $192,000 = $712,000

Selling price: $75,000

Taxable gain or loss: $75,000 - $712,000 = -$637,000

Tax on gain or loss: Tax rate (35%) * Taxable gain or loss = 0.35 * (-$637,000) = -$223,450

Terminal Cash Flow: Salvage Value + Tax on gain or loss = $75,000 + (-$223,450) = -$148,450

Now, let's sum up all the cash flows:

Cash Flows = Initial Investment + Operating Cash Flows + Terminal Cash Flow

Cash Flows = -$750,000 + $150,000 + $30,000 + $158,000 + (-$148,450)

Cash Flows = -$560,450

Therefore, the cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).

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PLEASE HELP 100 POINTS MATH ASAP URGENT

Answers

Answer:

answer to number 1

Step-by-step explanation:

Find the zeros of denominator (x=-2)

-2|1   4   0  -9  -2

After Carrying down coefficients = Coefficients of number polynomial is 1, 2, -4, -1, and 0

Polynomial format: x^3+2x^2-4x-1

Hope this helps :)

A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3? Show your work

Answers

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

Which volcano erupted in the early 1980s in the Pacific states?
Mt. Mauna Kea
Mt. St. Helens
Mt. Katla
Mt. Etna

Answers

Mt. St. Helens

hope it helps...!!!

ANSWER: Mt.St.Helens
EXPLATION: Mt.St.Helens is known for the eruption on may 18th 1980, it was the most deadliest and most destructive volcano in US history. It is located in Skamania County, Washington.

Triangle ABC is a right triangle. The lengths of the legs are 21 centimeters and 28 centimeters. What is the length of the hypotenuse in centimeters?

Answers

I believe it would be 33.54 rounded.

Mrs. Johnson bought 12 pound of ham and used it to make 3 sandwiches. She uses the same amount of ham on each sandwich. What fraction of a pound of ham is on each sandwich

Answers

The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b =[/tex] a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For this case, we're specified that:

Total ham Mrs. Johnson bought = 12 poundsTotal sandwiches that she makes of that amount of ham = 3

12 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).

That means:

Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.

To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.

If we take 4 times a pound, then we get 4 pounds.

Thus, 4 of a pound = 4 pound

In fraction, we have: 4 pounds = 4/1 fraction of a pound.

Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound

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Mark wants to run his town's half marathon, which covers 13.1 miles. When runners have completed 65% of the course, they are challenged with a steep hill to climb. What distance, in miles, will Mark run before he gets to the foot of the hill? Round your response to the hundredths place.

Answers

Using proportions, it is found that Mark will run 8.52 miles before he gets to the foot of the hill.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the distance to the foot of the hill is 65% of 13.1 miles, hence:

d = 0.65 x 13.1 = 8.52 miles.

Mark will run 8.52 miles before he gets to the foot of the hill.

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Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2

Answers

The  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

Volume of a prism

The formula for calculating the volume of a prism is expressed as

V = lwh

l is the length

w is the width

h is the height

Given the following

l =4x + 0.5

w = 1/2x

h = x - 2

Find the volume

V(x) = (4x+ 0.5)(0.5x)(x - 2)

Hence the  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

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On average, what value is expected for the f-ratio if the null hypothesis is true?.

Answers

The expected value of the f-ratio is the mean value

On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true

How to determine the expected value?

From the question, we understand that the null hypothesis is true and the distribution is the F-ratio

The above scenario means that:

The variance of the top and the bottom ratio are the same

When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00

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Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...

Answers

Answer:

-14,-17

I hope this is useful

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