What is the total area of the figure below?​

Answer:

9 years

Step-by-step explanation:

Formula for continuous compounding is;

Total amount after the compounding period = P + P[(e^(rt)) - 1]

Where;

P = principal

r is interest rate

t is time period of compounding

We are given;

P = $12,000

Interest rate; r = 7.5% = 0.075

Time; t =?

Amount after investment; $23,568.40

Thus;

23568.40 = 12000(1 + [(e^(0.075t)) - 1])

(1 + [(e^(0.075t)) - 1]) = 23568.40/12000

[(e^(0.075t)) - 1] = (23568.40/12000) - 1

[(e^(0.075t)) - 1] = 0.964

(e^(0.075t)) = 1 + 0.964

(e^(0.075t)) = 1.964

0.075t = In 1.964

0.075t = 0.67498

t = 0.67498/0.075

t = 9 years

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

It took 8 seconds for the leaf to reach the ground.

Answer:

16 boys

Step-by-step explanation:

Answer:

16 boys

Step-by-step explanation:

24 x 2 = 48

48/3 = 16

Answer:

Exponential growth of 7%

Step-by-step explanation:

We are given the function:

A function is shown: f(x) = (1.07)^x

We can compare this to a formula of Exponential Growth

y = a(1 + r)^x

Hence:

1 + r = 1.07

r = 1.07 - 1

r = 0.07

Converting to percy

0.07 × 100

= 7%

Therefore, the function represents Exponential growth of 7%

Answer:

It is  

Exponential decay of 93%

Step-by-step explanation:

:3 hope that helped!

The answer is y = 3/5x + 2

Equation of the line that goes through the points (-5, -1) and (5, 5) is y =   [tex]\frac{3}{5}[/tex] x + 2.

Slope of a line is defined as the tangent of the angle that the given line is making with the X axis.

Slope of a line is usually denoted by the letter 'm'.

m = tan θ, where θ is the angle.

Slope of a line passing through the points (x1, y1) and (x2, y2) is,

m = (y2 - y1) / (x2 - x1)

Here we have two points (-5, -1) and (5, 5)

m = (5 - -1) / (5 - -5) = 6 / 10 = 3/5

Equation of a line in point slope form is,

y - y₁ = m (x - x₁), where (x₁, y₁) is a point on the line.

We take a point (5, 5)

y - 5 = [tex]\frac{3}{5}[/tex] ( x - 5)

y - 5 =  [tex]\frac{3}{5}[/tex] (x) -  [tex]\frac{3}{5}[/tex] (5)

y - 5 =   [tex]\frac{3}{5}[/tex] (x) - 3

y =   [tex]\frac{3}{5}[/tex] x - 3 + 5

y =   [tex]\frac{3}{5}[/tex] x + 2

Hence the equation of the line passing through the points (-5, -1) and (5, 5) is y =   [tex]\frac{3}{5}[/tex] x + 2.

To learn more about Slope, click on the link:

https://brainly.com/question/3605446

#SPJ5

Answer:

x = -24/5

Step-by-step explanation:

1/4x=-5/6

as 4 is multiplied to x on the left hand side, if we shift 1/4 to the right hand side the equation becomes:

6/-5=4x

now the 4 multiplied to x moves to the left hand side:

(6/-5)x4 =x

x = -24/5

If you need further clarification, please feel free to ask

Answer:

Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by

1

4 by multiplying by the reciprocal, 4. (−

5

8)(4) is −

5

2. Use substitution to check the answer. x = −

5

2

Step-by-step explanation:

Step-by-step explanation: The keyword is hourly. Since the keyword is hourly, the equation is division.

72 / 4

1. 4 goes into 7 once.

1a. 72 / 4 = 1

2. Now we multiply 4 by 1.

2a. 4 x 1 = 4

3. Now, we subtract 7 by 4.

3a. 7 - 4 = 3

4. Now bring down the 2.

4a. 3 = 32

5. Then you repeat the process!

We'll do the last one step-by-step!

1. 2 goes into 4, 8 times.

1a. 72 / 4 = 18

2. Multiply 8 by 4.

2a. 8 x 4 = 32

3. Lastly, subtract 32 by 32.

32 - 32 = 0

Therefore, your answer is 18 R0.

Answer:

it is C

Step-by-step explanation:

5 divided by 5 it cancels out

then divided 5 by 15= 3

y=3

Answer:

Your first few seconds in freefall will be a wee bit slower, so you'll cover a little less distance at first, but then you'll accelerate to full speed. The first 300 or so meters (1,000 feet) will take about 10 seconds to fly through. Then 5 seconds for every 300 meters after that.

hope this helps!!:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

24*4=96

Step-by-step explanation:

lcm of 8 and 12 is 24

hcf of 8 and 12 is 4

24 times 4 = 96

Answer:

36

Step-by-step explanation:

Just add 12+12+12 or 12x3

Answer:

36

Step-by-step explanation:

bro if a dozen is 12 then add it 4 times it comes 48 then 3/4 is 36

Answer:

26:24

Step-by-step explanation:

is this what you mean

Answer:

Well the ratio fro English to Korean is

13:12 (simplified)

the ratio for Korean to English is

12:13 (simplified)

Answer:it’s a I think

Step-by-step explanation:

Answer:

84 points

y= 100-2x where y= total score (0 through 100) and x= # of questions wrong (0 through 50)

Step-by-step explanation:

100- 2(8) = y

100-16 = y

84=y

Since each question (x) is worth two points (2) we have to multiply each wrong question by two (2x). And then since we're deducting point from the possible points (100) we have to subtract (100-2x)

Answer:

Step-by-step explanation:

Answer:

1/2 ( 10x + 8 )

Step-by-step explanation:

first make sure everything in the parenthesis is addition. by doing this you make the 6 and 8x negatives. so it's 1/2 ( 13x + 5x + -6 + -8 + 14 ) then combine the numbers with the variable x so 13x + 5x + -8x = 10x . then the ones without variables -6 + 14 = 8. so 1/2 ( 10x + 8)

Answer:

319.64

Step-by-step explanation:

524/100= 5.24

5.24x61= 319.64

Answer:

2, 3, 6, 1

Step-by-step explanation:

common factors of 6 are 1, 2, 3, 6

common factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

so both 6 and 24 have common factors of 1, 2, 3, 6

Answer:

The answer choice is E.

Step-by-step explanation:

Answer:

A and C are triangular prisms

Answer:

I hope this help you!!! if it doesn't im sorry

Answer:

the answer is d

Step-by-step explanation:

Answer:

50/9 or 5 5/9

Step-by-step explanation:

5/1 x 10/9 = 50/9

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

Answer:

The answer is 20

Step-by-step explanation:

Can i have brainiest

Answer:

20! thank you for the free points I hope you're having a great day and enjoy the rest of your day and stay safe and make sure you don't get sick!

Answer:

Step-by-step explanation:

we know that 1 lb=16oz

16 oz almonds = costs 8 dollars , we divide the cost to oz

8/16=0.5 dollars / oz

4.10/0.5=8.2 oz

for 4.10 dollars you buy 8.2 oz

Answer:

The dog can eat 2/3 of a bag of food in 1 week

Step-by-step explanation:

If the dog can eat 1/3 of a bag of food in 1/2 week (half of a week), and you're trying to figure out how much the dog can eat in 2/2 (which is equal to 1 week because 2/2 is one whole)

Then all we have to do is double 1/3, which will give you 2/3.

Answer:

2/3

Step-by-step explanation:

Answer:

Chyba 600,90zł

Step-by-step explanation:

Answer:

The speed of the motorcycle is 66 miles per hour.

Step-by-step explanation:

We use the following relation to build a system of equations.

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

Car:

[tex]v_{c} = \frac{d_{c}}{t}[/tex]

We have that the car travels 90 miles, so [tex]d_c = 90[/tex]

Then

[tex]v_{c} = \frac{90}{t}[/tex]

[tex]t = \frac{90}{v_{c}}[/tex]

a motorcycle travels 6 mph faster than a sport car.

This means that [tex]v_m = 6 + v_{c}[/tex], so [tex]v_{c} = v_m - 6[/tex]

Travels 99 miles, so [tex]d_m = 99[/tex]

[tex]v_{m} = \frac{99}{t}[/tex]

Since [tex]t = \frac{90}{v_{c}}[/tex] and [tex]v_{c} = v_m - 6[/tex], we have that [tex]t = \frac{90}{v_{m} - 6}[/tex]

So

[tex]v_{c} = \frac{99}{t}[/tex]

[tex]v_{m} = \frac{99}{\frac{90}{v_{m} - 6}}[/tex]

[tex]v_m = \frac{99(v_{m} - 6)}{90}[/tex]

[tex]99(v_{m} - 6) = 90v_m[/tex]

[tex]99v_m - 594 = 90v_m[/tex]

[tex]9v_m = 594[/tex]

[tex]v_m = \frac{594}{9}[/tex]

[tex]v_m = 66[/tex]

The speed of the motorcycle is 66 miles per hour.

Step-by-step explanation:

simple intrerest =p×r×t 40000×10×12=48000

Answer:

48000

Step-by-step explanation:

40000*10*12=48000

Answer:

36pi

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.