A marathon takes place each year.In 2020 there were 6500 runners.Does this predict that in 2023 there will be more than 7500 runners? { Prediction : For each of the next 3 years the number of runners will increase by 5% } Does this predict that in 2023 there will be more than 7500 runners?

Answers

Answer 1

Answer:

yes

there would be 7525 runners

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

6500 x (1.05)^3 = 7525 runners


Related Questions

PLEASE HELP ME mhanifa

Answers

Answer:

Step-by-step explanation:

10). m(arc AB) = m(arc BC) = m(arc CA)    [given in the picture]

     m(arc AB) = [tex]\frac{360^0}{3}[/tex]

                      = 120°

     Therefore, m(arc ACB) = m(arc AC) + m(arc BC)

                                            = 120° + 120°

                                            = 240°

11). m(arc CD) = 127°  [Given]

    m(arc AB) = 51° [Given]

    m(arc AC) = m(arc BD) [Given]

    m(arc CD) + m(arc BD) + m(arc AB) + m(arc AC) = 360°

    127° + 2[m(arc BD)] + 51° = 360°

    178° + 2[m(arc BD)] = 360°

    2[m(arc BD)] = 360° - 178°

    m(arc BD) = 91°

    Since, m(arc CDB) = m(arc CD) + m(arc BD)

    Therefore, m(arc CDB) = 127°+ 91°

                                           = 218°

12). m(arc EH) + m(arc ED) + m(arc DH) = 360°

     180° + 53° + m(arc DH) =360°

     m(arc DH) = 360° - 233°

    m(arc DH) = 127°

Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The rate of change is 1 and the y-intercepted is 4. How much more is the rate of change of Function A than the slope of Function B?

Answers

Answer:

7

Step-by-step explanation:

Expressing Both equations in the slope intercept format : y = mx + c

Function A :

y = 8x + 3

Where, slope = 8 ; intercept = 3

Function B:

y = x - 4

Note ;

Rate of change = slope

Rate of change or slope of function A = 8

Slope of function B = 1

Difference = 8 - 1 = 7

Simplify the expression

Answers

hope this helps! feel free to clarify if unsure

How many seamstresses would be needed to sew thirty-six seams in two hours?

Answers

Answer:

Six.

Step-by-step explanation :

Each seamstress can sew one seam in twenty minutes, or 3 in an hour, or 6 in two hours. 150

make brainliest pls

Answer:

six each seamstresses can sew one seam in tewenty min

find the area of ABCD
trapezoid ABCD ~ trapezoid EFGH
trapezoid ABCD: 20cm
trapezoid EFGH: 5cm

area of EFGH = 40 sq cm

Answers

Answer:

640 cm²

Step-by-step explanation:

The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths

Thus:

Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²

Area of Trapezoid ABCD = ? = x

Area of Trapezoid EFGH = 40 cm²

AB = 20 cm

EF = 5 cm

Substitute

x:40 = 20²:5²

x/40 = 400/25

x/40 = 16

Cross multiply

x = 16*40

x = 640

Area of trapezoid ABCD = 640 cm²

PLEASE HELP ME WITH THIS QUESRTION I KEEP GETTING THIS WRONG

angle t = ___?

Answers

Answer:

[tex]141^{\circ}[/tex]

Step-by-step explanation:

The quadrilateral in the image is a cyclic quadrilateral, because it is circumscribed by a circle. In all cyclic quadrilaterals, each pair of opposite sides are supplementary (add up to 180 degrees). Therefore, we have the following equation:

[tex]m\angle T+39=180,\\m\angle T=\boxed{141^{\circ}}[/tex]

What is the value of expression of x=5

What is the coefficient of 6x-3

Answers

Answer:

27

Step-by-step explanation

6x - 3

6(5) - 3 || replace the x with its value

30 - 3 || multiply (also known as simplify)

27 || subtract 3 from 30

Is f(x)=2x^(3)+6x even, odd, or neither?

Answers

Answer:

It is Odd

Step-by-step explanation:

Mark as Brainliest

(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can

Answers

Answer:

Jamal is correct.

Step-by-step explanation:

(11.5) − (−11.5)

=11.5 − (−11.5)

=11.5 + 11.5

=23

I agree with Jamal because Reggie was doing subtract a positive by a positive but the question is a positive minus a negative, by doing absolute value you can see they both have the same value just inverse so in this case the answer would be a positive

PLS HELPP GUYS !!!! in a hurry !!!!!!!

Answers

Answer:

A because it uses all of domains

Step-by-step explanation:

A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?​

Answers

Answer:

130

Step-by-step explanation:

total apple juice= 1560

if 12 children share juice equally

they get

=1560/12

= 130

guys i think i might have a pis.skink

Answers

Answer:

Is this true or uhhhh id,k tbh

Thanks for the free point.s anyways

find the value of each variable
right triangle and trigonometry
special right triangles
make brainlesst​

Answers

Answer:

y=4.47 and x=√10

Step-by-step explanation:

180°-45°-90°=45°

√10/(sin 45°)=y/(sin 90)

y=4.47

√10/(sin 45°)=x/(sin45)

x=√10

Last year the Debate club had 12 members. This year there are 16 members in the club. Estimate the percent change in the number of club members.

Answers

Answer:

Around 33.33% increase

Step-by-step explanation

Footballs sell for $27.99 each at the Sports R' Us and for $21.59 each at the Fitness Depot. If the coach buys a dozen footballs, how much can he save by buying them at the Fitness Depot?

Answers

Answer:

He can save $76.8 by buying them at the Fitness Depot.

Step-by-step explanation:

If the coach buys a dozen footballs, it means that he buys 12 and first, you need to determine the cost of purchasing the 12 footballs at each store by multiplying the amount of footballs for the price at each store.

-Sports R' Us: $27.99*12=$335.88

-Fitness Depot: $21.59*12=$259.08

Then, you have to find the difference between the total cost at both places:

$335.88-$259.08=$76.8

According to this, the answer is that he can save $76.8 by buying them at the Fitness Depot.

I will give you brainlest and a kiss please help

Answers

The answer to your questions is 90

Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)​

Answers

Answer:

5.25 inches after 5 wks

7 inches after 12 wks

Step-by-step explanation:

after 5 weeks:  y = .25(5) + 4 which is 5.25 inches

after 12 weeks:  y = .25(12) + 4 which is 7 inches

The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.​

Answers

Answer:

The longest length is 30 cm

Step-by-step explanation:

Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides

So, what we have to do here is divide the perimeter in the given ratio to get the side lengths

since 5 is the biggest of the numbers in the ratio, it represents the largest length value

so we have this as;

(3 + 4 + 5) = 12

So that would be;

5/12 * 72

= 5 * 6 = 30

Point A is located at (1,10) and point B is located at (20,18). What point partitions the directed line segment AB into a 2 : 5 ratio?​

Answers

Answer:

c. (6 3/7, 12 2/7)

Step-by-step explanation:

x= 38/7 + 1 = 5 3/7 +1 = 6 3/7

y= 16/7 + 10 = 2 2/7 + 10= 12 2/7

Help!! A. 2,2 B. 4,1 C. 1,-1 D. -1,0

Answers

It is a 2,2 it’s not b

Find x and round it to the nearest tenth is necessary, help please and thank you so much

Answers

Answer:

111

Step-by-step explanation:

360 - 65 - 106 - 78 = 111

Solve the following quadratic equation for all values of x in simplest form. 2( x2 - 1) +1= 1

Answers

The answer is x=1,-1

Find The Surface Area Of The Prism!

Answers

Answer:

288

Step-by-step explanation:

the formula is 2(lw+wh+hl)

length - 8

width - 8

height 5

substitute the values and you get

2(64+40+40)

2(144)

= 288

Answer:

320

Step-by-step explanation:

Drag each tile to the correct box.
Tickets for all of the described charity raffles cost $2 per ticket. Arrange the raffles in ascending order of their expected values to the player,
The player picks a single letter from A to J
and
a single digit from 0 to 9. If both the letter
and
the digit match the letter and the digit
picked
on that day, the player wins $150.

Answers

Answer: 4,2,3,1,5,6

Step-by-step explanation:

Plato

Which expression is equivalent to 2(3 - x) - 12 + 4x?
2x - 6
3х - 6
3x-7
2x - 7

Answers

Answer:

2x - 6

Step-by-step explanation:

2(3 - x) - 12 + 4x =

6 - 2x - 12 + 4x =

-6 + 2x =

2x - 6

Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.

Answers

Answer:

54

Step-by-step explanation:

You add 5+19 and divide my 2

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24​

Answers



2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12

solve each inequality and show work.
1) 4x - 2 > 2x + 8

2) -3x - 6 > 4x - 20

3) 4(x + 1) < 3x - 2

4) 2x + 3 + x < -2x + 1 + 12

5) 2(x - 1) > 4x + 4 - 5x

6) 2 + 4x -7 < 8x + 2 - 2x

Answers

Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)

1) x> 5

2) x< 2

3) x<-6

4) x< 2

5) x> 2

6) x> - 7/2

Step-by-step explanation:

See the images below for the work:)  The images will be in order with the number the first problem will be the answer to the first.

Answer:

[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]

Add 2 from both sides:

[tex]\sf 4x-2+2>2x+8+2[/tex]

[tex]\sf 4x>2x+10[/tex]

Subtract 2x from both sides:

[tex]\sf 4x-2x>2x+10-2x[/tex]

[tex]\sf 2x>10[/tex]

Divide both sides by 2:

[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]

[tex]\boxed{\sf x>5}[/tex]

_______________________________

[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]

Add 6 from both sides:

[tex]\sf -3x-6+6>4x-20+6[/tex]

[tex]\sf -3x>4x-14[/tex]

Subtract 4x from both sides:

[tex]\sf -3x-4x>4x-14-4x[/tex]

[tex]\sf -7x>-14[/tex]

Multiply both sides by -1:

[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]

[tex]\sf 7x<14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]

[tex]\boxed{\sf x<2}[/tex]

_______________________________

[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]

Apply distributive property:

[tex]\sf 4x+4<3x-2[/tex]

Subtract 4 from both sides:

[tex]\sf 4x+4-4<3x-2-4[/tex]

[tex]\sf 4x<3x-6[/tex]

Subtract 3x from both sides:

[tex]\sf 4x-3x<3x-6-3x[/tex]

[tex]\boxed{\sf x<-6}[/tex]

_______________________________

[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]

Combine like terms:

[tex]\sf (2x+x)= 3x[/tex]

[tex]\sf( 1+12)=13[/tex]

[tex]\sf 3x+3<-2x+13[/tex]

Subtract 3 from both sides:

[tex]\sf 3x+3-3<-2x+13-3[/tex]

[tex]\sf 3x<-2x+10[/tex]

Add 2x from both sides:

[tex]\sf 3x+2x<-2x+10+2x[/tex]

[tex]\sf 5x<10[/tex]

Divide both sides by 5:

[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]

[tex]\boxed{\sf x<2}[/tex]

________________________________

[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]

Combine like terms:

[tex]\sf (4x-5x)=-x[/tex]

[tex]\sf 2\left(x-1\right)>-x+4[/tex]

Apply distributive property:

[tex]\sf 2x-2>-x+4[/tex]

Add 2 from both sides:

[tex]\sf 2x-2+2>-x+4+2[/tex]

[tex]\sf 2x>-x+6[/tex]

Add x from both sides:

[tex]\sf 2x+x>-x+6+x[/tex]

[tex]\sf 3x>6[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]

[tex]\boxed{\sf x>2}[/tex]

_______________________________

[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]

Subtract 2 from both sides:

[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]

[tex]\sf 4x-7<8x-2x[/tex]

Combine like terms:

[tex]\sf (8x-2x)=6x[/tex]

[tex]\sf 4x-7<6x[/tex]

Add 7 from both sides:

[tex]\sf 4x-7+7<6x+7[/tex]

[tex]\sf 4x<6x+7[/tex]

Subtract 6x from both sides:

[tex]\sf 4x-6x<6x+7-6x[/tex]

[tex]\sf -2x<7[/tex]

Multiply both sides by -1:

[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]

[tex]\sf 2x>-7[/tex]

Divide both sides by 2:

[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]

[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]

_______________________________________

Simplify.
(-x²+2x-3)+(7x²+6x+5)

Answers

-x² + 2x - 3 + 7x² + 6x + 5
= 6x ² + 8x +2

Answer:

6x² + 8x + 2

Step-by-step explanation:

(-x² + 2x - 3) + (7x² + 6x + 5 ) = ?

-x² + 2x - 3 + 7x² + 6x + 5 = ?

-x² + 7x² + 2x + 6x - 3 + 5 = ?

? = 6x² + 8x +2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

BRAIN TO CORRECT ANSWER!!

Find the value of x.

A. 21

B. 4

C. 13

D. 11​

Answers

Answer:

160° and the angle (10x+50)° are congruent. So

160°=10x+50

subtract 50° from both sides

110=10x

divide 10 by both sides

11=x

The answer js

D.11

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