PLEASE HELP!!! The population of a town was 780 in 1970. The population has been growing at a rate of 26% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.

Answer:

The formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Step-by-step explanation:

We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

here

f(t) represents the final amount

a represents the original amount

b represents the decay factor

t represents the amount that has passed

Now, map our problem using the same concept formula

as

2150 members are at the beginning, so

a = 2150  

as the size of the population has been experiencing an annual decline of 3.8%. so

b = 3.8%= 0.038

so substituting b = 0.038 and a = 2150  

[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]

Therefore, the formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Answer:

x=88 degrees

Step-by-step explanation:

the angle opposite x and 54 is 38 degrees. if one angle is 54, one is 38, add those together, subtract from 180 and you get 88.

Answer:

Step-by-step explanation:

It’s 4x^3+(x2)(x-4)b.-4(x^3-2)+x...

Answer:

yellow

Step-by-step explanation:

Answer:

4.6%

Step-by-step explanation:

Percentage = [tex]\frac{5.05-4.82}{5.05}*100[/tex]

                   [tex]= \frac{0.23}{5.05}*100\\\\= 4.55[/tex]

                   = 4.6 %

Answer:

4.55445545% or 4.6% rounded to nearest tenth

Step-by-step explanation:

((5.05 - 4.82) / 5.05) * 100

Answer:

56cmSq

Step-by-step explanation:

4*7*2

4*7 = 28

28*2 = 56

Answer:

Yes he is right. He has to move one step behind to get an award.

Step-by-step explanation:

Here is the full question:

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

To answer the above question, we already know that Diego is standing in the 23rd position and it is said that every 12th customer will get a free slice of carrot cake. Therefore, those on position 12, 24, 36, 48, . . . will get this award. Simply put, those in positions that are multiples of 12.

Since Diego is thinking of moving farther backwards to get an award, then he is right. Also, he has to move just one step behind to be in a multiple of 12, that is move from 23 to 24, to get an award.

Step-by-step explanation:

5-1+0.85= -0.666x

4.85/-0.666= -0.666/-0.666x

x= -5.6

Answer:

212 days are in 7 months

Answer:210 days in 7 months

Step-by-step explanation:

Answer:

Im pretty sure the first is -2 and -3. then -4 and-10

Step-by-step explanation:

thats all i know srry

1)

First box: -10

Second box: -2

Plug in the corresponding numbers to the corresponding boxes:

[(-10)/(-2)]/5 = 1

Simplify. First, solve the bracket. Note that when you divide two negative numbers, the answer will be positive.

(-10)/(-2) = 5

Next, divide the brackets:

[5]/5 = 1

1 = 1 (True)

2)

First box: -5

Second box: -3

Plug in the corresponding numbers to the corresponding boxes:

[5 - (-5)]/[(-3) + 8] = 2

Simplify. First, solve the brackets, then divide:

[5 - (-5)] = [5 + 5] = 10

[-3 + 8] = [8 - 3] = 5

Divide:

10/5 = 2

2 = 2 (True)

3) Use the last two numbers:

First box: -11

Second box: -4

Plug in the corresponding numbers to the corresponding boxes:

(-([-11]) x 2)/(6 + [-4]) = 11

-(-11 x 2)/(6 - 4) = 11

-(-22)/(2) = 11

22/2 = 11

11 = 11 (True).

~

Answer:

(57.1 miles per hour. )

7.8 hours

Step-by-step explanation:

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41  = (2 x 10) x 41  = 2 x (10 x 41)

             = 20 x 41         = 2 x 410

             = 820              =  820

(2) distribute 32 as 30 + 2 and solve.

     60 x 32

  = 60 x (30 + 2) = 60(30) + 60(2)

                        = 1800 + 120

                        = 1920

Answer:

I dont speak french but if you translate it for me Im pretty sure I could most definitely solve this :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here the two equations are:

So you can easily see that the two equations have the same y-intercept but opposite slopes.

So both of them pass through the point (0, 1) and both are lines, these are the similarities.

And the difference is that the slopes are just different.

If you want to learn more about linear equations you can read:

https://brainly.com/question/14323743

Answer:  6 pieces

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

Explanation:

3/4 = 6/8 after multiplying both parts by 2

We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces

Note how 6*(1/8) = 6/8

Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.

Answer:

6 pieces

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4

Answer:

breadth=16cm and length=32cm

Let breadth be X

According to question,

lengtg=2X

Now,

Perimeter=2(l+b)

or,96=2(2X+X)

or,96=2(3X)

or,96=6X

or,96/6=X

or,X=16cm.

length =32 cm and breadth =16 cm

Answer:

length = 32 cm, breadth = 16 cm

Step-by-step explanation:

let breadth be b then length is 2b, then

2b + 2(2b) = 96

2b + 4b = 96

6b = 96 ( divide both sides by 6 )

b = 16

Thus

breadth = 16 cm and length = 2 × 16 = 32 cm

Answer:

86.74 pounds

Step-by-step explanation:

Team A

The mean weight for team A with 15 members is 140 pounds

Total weight for Team A = Mean × number is members

= 15 × 140 pounds

= 2100 pounds

Team B

The mean weight for team B with 7 members is 135 pounds

Total weight for Team B = Mean × number is members

= 7 × 135 pounds

= 945 pounds

Team C

Mean weight for team C with 20 members is 160 pounds.

Total weight for Team C = Mean × number is members

= 20 × 160 pounds

= 3200 pounds

The total number of members from the 3 teams =( 15 + 7 + 20) members

= 42 members

The total weight in pounds from the 3 teams = (2100 + 945 + 3200)

= 6245 pounds

The overall mean weight for all three teams is calculated as:

6245/42 members

= 86.736111111 pounds

Approximately = 86.74 pounds

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lanation:

anwer it on ur, own nah im just kidding bruh i gatchu

i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

Volume of the shape = 551.3212cm³

Answer:912

Step-by-step explanation:

deltamath

Answer:

572,000 thats your answer

Answer:

572,000

Step-by-step explanation:

Answer:

13. The measure of a is 35°

14. The measure of b is 74°

15. The measure of c is 66°

Step-by-step explanation:

In the given figure

13.

∵ The sum of the measures of the interior angles of a triangle is 180°

∴ 33° + 112° + a = 180°

→ Add the like terms in the left side

∴ 145° + a = 180

→ Subtract 145° from both sides

∵ 145° - 145° + a = 180° - 145°

∴ a = 35°

14.

∵ a, 71° and b formed a straight line

∵ The sum of the measures of the linear angles is 180°

∴ a + 71° + b = 180°

→ Substitute the value of a

∴ 35° + 71° + b = 180°

→ Add the like terms in the left side

∴ 106° + b = 180°

→ Subtract 106° from both sides

∵ 106° - 106° + b = 180° - 106°

∴ b = 74°

15.

∵ The sum of the measures of the interior angles of a triangle is 180°

∴ 43° + 71° + c = 180°

→ Add the like terms in the left side

∴ 114° + c = 180°

→ Subtract 114° from both sides

∵ 114° - 114° + c = 180° - 114°

∴ c = 66°

Answer:

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

Answer: The answer is 36/5?

Step-by-step explanation:

Answer:

A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?

Step-by-step explanation:

127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3