To replace the trees destroyed by typhoon Yolanda, the forestry department of Tagaytay has developed a ten-year plan. During the first year they will plant 100 trees. Each succeeding year, they will plant 50 more trees than they planted the year before.

Answers

Answer 1

Answer:

a. 1,000 trees

b. 3,250 trees

Step-by-step explanation:

a. How many trees will they plant during the fifth year?

b. How many trees will they have planted by the end of the tenth year?​

Using the sum of an arithmetic progression formula

Sn = n/2 {2a+(n-1)d}

Where,

Sn = Sum of an n terms

n = number of terms

a = first term

d = common difference

a.

n = 5

a = 100

d = 50

S5 = n/2 {2a+(n-1)d}

= 5/2 {2*100 + (5-1)50}

= 5/2 {200+(4)50}

= 5/2{200 + 200}

= 5/2(400)

= 2,000 / 2

= 1,000

S5 = 1,000 trees

b. Sn = n/2 {2a+(n-1)d}

n = 10

a = 100

d =50

S10 = 10/2{2*100 + (10-1)50}

= 5{200 + (9)50}

= 5{200 + 450}

= 5(650)

= 3,250

S10 = 3,250 trees


Related Questions

PLEASE HELP!!! Find the slope of each side of the triangle.

Answers

9514 1404 393

Answer:

AB: -3BC: 2/3AC: -1/4

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

  AB = -3/1 = -3

  BC = 2/3

  AC = -1/4

What is 1/3 divided by 2

Answers

Answer:

0.16666666666 so just put 0.16

Step-by-step explanation:

What are irrational numbers?
Are they related to Rational numbers?

Answers

an irrational number is a number that cannot be expressed in a fraction form while a rational number can.

an example of an irrational numbers are repeating numbers such as 0.77777... and examples of rational numbers are decimals such as 0.20, whole numbers such as 5, and fractions like 2/3

hope this helps a bit.

Answer:

What Are Irrational Numbers?

Real, Rational, and Irrational Numbers. By definition, a real number is irrational if it is not rational. ...

Spotting Rational and Irrationals. One nice thing about real numbers is that they all have decimal expansions.

HELP!! BRAINLIEST AND 10 POINTS !!!! THANK YOU SO MUCH

Answers

Answer:

B and C

Step-by-step explanation:

BRAINLIEST PLEASE

If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)

Answers

The answer is 680 calories

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $25 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has a $12 monthly fee and charges an additional $0.14 for each minute of calls For how many minutes of calls will the costs of the two plans equal

Answers

Answer:

The amount of minutes of calls in which the costs of the two plans equal is 325.

Step-by-step explanation:

To be able to find the amount of minutes of calls in which the cost of the two plans equal, you have to write an expression in which the price of the first and the second plan are the same an solve for the number of minutes:

25+0.10x=12+0.14x, where x is the number of minutes of calls.

Now, you can solve for x:

25-12=0.14x-0.10x

13=0.04x

x=13/0.04

x=325

According to this, the answer is that the amount of minutes of calls in which the costs of the two plans equal is 325.

Find all solutions by factoring.
c? + 13c + 40 = 0

Answers

Answer: c = -5, -8

Step-by-step explanation:

c^2 +13c+40=0

(c+5)(c+8)=40

c = -5, -8

5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:

Answers

Using the formula y=mx+b we know that m=slope and b= y-intercept. So what your just doing is plugging in. So it would be Y= -3/2x-4 . I hope that helps! ^^

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

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 )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

Please help!!
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.

Answers

Answer:

Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.

2x≤3x+2≤x+6 please could you answer this question

Answers

-2 ≤x ≤2 Thats what I got

A rock is dropped from a height of 2.5 meters. What is its velocity when it reaches the ground? A. 3.5 meters/second B. 7.0 meters/second C. 12 meters/second D. 14 meters/second E. 49 meters/second

Answers

Answer:

7.0 m/s

Step-by-step explanation:

Use the formula vf^2 = vo^2 + 2*a*d

since the rock is dropped, its initial velocity is zero:

vf^2 = 2*9.8*2.5 = 49

vf = 7.0 m/s

B. 7.0 m/s

notice how they tried to trick you with E.

Answer:

B. 7.0

Step-by-step explanation:

i got it right on my test

marking brainliest and extra points

Answers

Answer:

B

Step-by-step explanation:

If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4

A band expects to put 15 songs on their next CD. The band writes and records ​60% more songs than they expect to put on the CD. During the editing​ process, ​75% of the songs are removed. How many songs will there be on the final​ CD?

Answers

Answer: 6

Step-by-step explanation:

From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records ​60% more songs than they expect to put on the CD. Therefore, the total songs will be:

= 15 + (60% × 15)

= 15 + (0.6 × 15)

= 15 + 9

= 24 songs.

During the editing​ process, ​75% of the songs are removed. The total number of songs that will be there on the final​ CD will be:

= 24 - (75% × 24)

= 24 - (0.75 × 24)

= 24 - 18

= 6

6 songs will be there on the final CD.

Answer:

21

Step-by-step explanation:

You fottt

Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?

Answers

Answer:

15 weeks

Step-by-step explanation:

15 times 20 = 300

300+60=360

15 Weeks

Step-by-step explanation:

You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks

find the ratio of 500 paise to rs.20​

Answers

We know that 100paise=1 rupee

=>500 paise = 5 rs

ratio =5/20=1/4=1:4

hope it helps :)

plz mark as brainliest

Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me.

Answers

Answer:

(-4,1)

Step-by-step explanation:

The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.

^They have the correct answer !! Go with that

Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.

Answers

Answer:

y = 7x - 4

just as it says in words

Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 $25 to sell hot dogs and estimates each hot dog will cost her $0.75 $0.75 . Selena plans on selling each hot dog for $2.00 $2.00 . What is the minimum number of hot dogs ( x x ) Selena needs to sell for the revenue to be greater than or equal to her cost?

Answers

Answer:

20

Step-by-step explanation:

Let the cost of 1 hot dog be $x.

2x ≥ 25 + 0.75x

2x - 0.75x ≥ 25

1.25x ≥ 25

x ≥ 20

hhHheLLlpP Help help help help help plzz
The school hiking club had a car wash on Saturday and Sunday. The students washed 30% of the
cars on Saturday. If they washed 24 cars on Saturday, how many cars did they wash on both days?
O A) 24
O B) 30
OC) 72
OD 80

Answers

D 80

Because 80-30% is 24

Answer:

D) 80

Step-by-step explanation:

30 x 80 = 24

  100

30/100 = 24/80

30% = 24

24 is 30% of 80

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Solve please

18 + 8x<34

Answers

Answer:

x=2

Step-by-step explanation:

2 is greater than x

What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.

Answers

Answer:

the number 3 is being subtracted from it because you want to get by itself

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answers

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]

What type of angles are these? Corresponding, vertical, alternate interior, alternate exterior, or adjacent angles.

Answers

Answer:

im 90% sure its alternate exterior

Step-by-step explanation:

Which inequality is shown in the graph?

Answers

Answer: 3ft²?

Step-by-step explanation:

What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°

Answers

Answer:

24 degrees

Step-by-step explanation:

24 is 1/2 of 48

pls help me is this right red devil is killing me

Answers

6x^2-48x-29 is the correct answer

Y-Value
What is the range of the relation?
{(4, 5), (2,9), (1,8), (6,5), (2, 9)}
A.{5, 8, 9}
B.{5, 8}
C.{1, 2, 4, 6)
D.{1, 2, 4, 5, 6, 8, 9)

Answers

A is the correct answer

Graph the line y=-2/3x+3

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

3

)

x

y

0

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His body temperature in the evening is °F.

Answers

Answer:

102.6°F.

Step-by-step explanation:

Aakash body temperature during the day = 99.2°F.

If by evening his body temperature increases by 3.4°F, then his body temperature in the evening will be expresses as the sum of his temperature in the day and the increment.

Temperature in the evening = 99.2°F+3.4°F.

Temperature in the evening = 102.6°F.

Hence his body temperature in the evening is 102.6°F.

Answer:

102.6

I hope this helps

Can someone help me please

Answers

Answer:

28deg

Step-by-step explanation:

sin x deg = 15/32

x = sin^-1 (15/32) = 27.953 (3dp) = 28 (nearest deg)

This is a topic on trigonometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Other Questions
Solve the given system of equations utilizing either the substitution or addition method. Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x? Someone please help with letter B Simplify the expression 32a769. Assume a = 0 and b +0.Enter the correct answer in the box. Hellppppppppppppppppp P(An B)P(AB) =P(B)FreshmenSophomoresJuniorsSeniors142.Boys39765GirlsP(Boy|Senior) =ON? Are u confused, depressed, and need help with homework?Too bad, so am iit's ok. Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows: Direct material: 5 pounds at $8.00 per pound $40.00 Direct labor: 2 hours at $14 per hour28.00 Variable overhead: 2 hours at $5 per hour 10.00 Total standard variable cost per unit $78.00.The company also established the following cost formulas for its selling expenses:Fixed Cost per Month Variable Cost per Unit Sold Advertising $200,000 Sales salaries and commissions$100,000 $12.00Shipping expenses $3.00 The planning budget for March was based on producing and selling 25,000 units. However, during March the company actually produced and sold 30,000 units and incurred the following costs:Purchased 160,000 pounds of raw materials at a cost of $7.50 per pound. All of this material was used in production. Direct-laborers worked 55,000 hours at a rate of $15.00 per hour. Total variable manufacturing overhead for the month was $280,500. Total advertising, sales salaries and commissions, and shipping expenses were $210,000, $455,000, and $115,000, respectively.1. What raw materials cost would be included in the company's flexible budget from March?2. What is the raw materials quantity variance from March? Paraphrase :There is something deeply conflicted about thedevotion to work, vocation, career as an ideal inany society, but especially in one that haszealously cast off so many of its otherrepressions...We (Americans) have all been sooversocialized that unnatural devotion to toilleaves its mark on every area of life. It could evenbe argued that the most highly prized pleasureshave themselves become a form of work.complete with their own uniforms, disciplines.and special lingo.' -- Christopher Clausen,professor You are designing a rotor ride for an amusement park. What design will enable the rider to feel the greatest Fn (Normal Force)?a. Decrease the velocity of the ride and increase the radiusb. Decrease the velocity of the ride and decrease the radiusc. Increase the velocity of the ride and increase the radiusd. Increase the velocity of the ride and decrease the radius There is no gain in mechanical advantage in a single fixed pulley . explain why the pulley is then used. Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction Choose the linear equation written in slope-interceptform that matches each graph. Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed? In paragraph 4 of the sectionThe Fall Of The French 19451954, the author says, By 1950, the French war in Vietnam had become a battleground in a much larger struggle. Why did the author choose this word? What does this sentence mean? please help me im so lost Is it possible for two numbers to have a difference of 5, and a sum of 12? Find the third, fifth, and seventeenth terms of the sequence described bythe explicit formula: f(n)=-9.2-2.5(n-1) Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6x) 3x + 6 I don't know. Whoever answers this first gets brainliestPls help ASAP