What is the equation of the sinusoid?
TI
21
Зп
47

Answer:

$ 630

Step-by-step explanation:

One is given the following information:

The problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:

A * 0.01P(d) = I

Where the parameters indicate the following values,

A = amount invested

P = interest rate

d = time invested (years)

I = amount earned in the form of interest

Substitute the given values into the formula, then simplify to evaluate,

A * 0.01P(d) = I

7000 * 0.01(3)(3) = I

7000 * 0.01(9) = I

7000 * 0.09 = I

630 = I

Answer:

B. y=1/2+2

Step-by-step explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

The total distance traveled in two days would be 380 miles.

Let's see how we calculate the distance.

Given that,

Speed on first day = 40 mph

Since,

Speed = Distance/Time

∵ 40 = [tex]d_{1}[/tex]/[tex]T_{1}[/tex]   ...(i)

Speed on the second day = 60 mph

Distance traveled =  [tex]d_{1}[/tex] - 20

Time taken = [tex]T_{1}[/tex] - 2

Since,

Speed = Distance/Time

∵ 60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2) ...(ii)

As we know,

Total distance = [tex]d_{1} + d_{2}[/tex]

=  [tex]d_{1}[/tex] + [tex](d_{1} - 20)[/tex]

= 2[tex]d_{1}[/tex] - 20  ...(iii)

From (i), we can deduce that,

[tex]d_{1}[/tex] = 40[tex]T_{1}[/tex]

[tex]T_{1}[/tex] = [tex]d_{1}[/tex]/40

Now, by putting the values of [tex]d_{1}[/tex] and [tex]T_{1}[/tex]  in equation (ii), we get

60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60[tex]T_{1}[/tex] - 120

⇒ [tex]d_{1}[/tex] - 20 = 60 * (

⇒ [tex]d_{1}[/tex] = 3

⇒ [tex]d_{1}[/tex] - 3

⇒ - [tex]d_{1}[/tex]/2 = -100

∵ [tex]d_{1}[/tex] = 200

By substituting the value of [tex]d_{1}[/tex] in equation (iii),

Total distance = 2[tex]d_{1}[/tex] - 20

= 2(200) - 20

= 400 - 20

= 380 miles

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Answer:

x=1

Step-by-step explanation:

3x+9 = 12

Subtract 9 from each side

3x+9-9=12-9

3x = 3

Divide by 3

3x/3 = 3/3

x=1

Hi there!  

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I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\3x + 9 = 12\\-------------\\\rightarrow 3x + 9 - 9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

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»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The amount Tobie invests in a bank, P = $25

The annual compound interest rate, i = 4%

a. The principal is amount invested in the bank, P = $25

The annual interest rate, i = 4%

b. The function that represents Tobie's account balance, A, after t years is given as follows;

[tex]A(t) = P \cdot (1 + i)^t[/tex]

Where;

A(t) = The amount in the account after t years

P = The principal amount

i = The annual compound interest rate

t = The number of years

c. The values to place in the table are found as follows;

At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex]  = 25

At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37

The given table is presented as follows;

[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

40 oranges are there in 100 fruites.

Answer:

I'm pretty sure it's the 3rd option

Answer:

first option is correct

Step-by-step explanation:

because there are less no. on negative side than on positive one

Answer:

What I DONT KNOW

Step-by-step explanation:

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]

Answer:

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

Step-by-step explanation:

Given

[tex]0 = x^2 - 2x -3[/tex]

Required

The correct quadratic formula for the above

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

And the formula is:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]0 = x^2 - 2x -3[/tex]

Rewrite as:

[tex]x^2 - 2x - 3 = 0[/tex]

By comparison:

[tex]a= 1; b = -2; c = -3[/tex]

So, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

Rate of change of distance is also known as speed.

Given,

Distance (s) = 400km = 400 × 1000m = 400,000m

Time (t) = 10h = 10 × 3600s = 36,000s

We know that,

Speed (v) = Distance/Time

[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]

A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.

The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.

The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.

[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]

Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

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Answer:

This would be a .04 or 4% decay.....

for every "time unit" (x in this case) you will be multiplying

the amount by .96 ... in other words if you started with one dollar

the results would be 96 cents... after two "time" steps you would have

only 92 cents (.96 *.96)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for finding the area of a pentagon(regular) given 1 side is

A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]

s (the side) = 12

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]

Area = sqrt(5(5 + 2*2.2361) * 36

Area = sqrt(5( 5 + 4.4721)) * 36

Area = sqrt(5*9.4721) * 36

Area = sqrt(47.3606) * 36

Area = 6.882 * 36

Area = 247.7485

The area of the circle = pi r*2 but we don't have r.

If you know any trig, the formula for the radius of the circle is

R = s/(2*sin(180)/n)     n = 5 because you are using a 5 sided figure.

R = 12/(2*sin(180/5)

R = 12/2* sin(36)

R = 6 / sin(36)

R = 10.207

So the area of the circle is pi * R^2

Area = 3.14 * 10.2078^2

Area = 327.1854

The area of the shaded part is the difference between the 2 areas we found

Answer: 327.1854 -  247.7485

Answer: 79.44

Answer:

D

Step-by-step explanation:

simple : when we have a point defined as (1, 4), it means x = 1, y = 4.

and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.

but there will be usually many other pairs that do that too.

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

Answer:

B) -5/13

Step-by-step explanation:

i hope it will help

plzz mark as brainliest if you want

Answer:

Step-by-step explanation:

On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.

The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.

Answer: Hello your question lacks vital information attached below is the vital information

Along with the image below, Use your knowledge of the unit circle and radian measure of angles to answer the following questions. [Note: When the questions ask you to consider circles and their angle in relation to the main circle, the question is referring to the location of the center of each circle.]

answer:

Circle 7 = π / 4

Circle 8 = 7π / 12

Circle 9 = 11 π / 12

Circle 10 = 5π / 4

Circle 11 = 19π / 12

Circle 12 = 23π / 12

Step-by-step explanation:

Given that 45° = π/4.

∴  All the six(6) circles ( 7 through 12 ) are separated by : 60° = π/3

The Radian measure of the remaining circles through 12 :

Circle 8 = π/3 + π /4 = 7π / 12

Circle 9 = π/4 + 2 π/3 = 11 π / 12

Circle 10 = 5π / 4

Circle 11 = 19π / 12

Circle 12 = 23π / 12

Reason : All the six(6) circles ( 7 through 12 ) are separated by : 60° = π/3

Answer:

its 196

Step-by-step explanation:

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

Answer:

x= -12 & y=24

Step-by-step explanation:

given,

x+y=12.......... equation (i)

2x=3y........eq(ii)

let,

x=12-y.......eq(iii)

from eq(ii)

2(12-y)=3y

y=24

putting the value of y in eq(iii)

x=12-24

x= -12

Answer:

A=2

B=4

C=6

D=5

E=7

F=8

G=3

H=1

Step-by-step explanation:

explanation is in the picture!

Answer:

634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.

Step-by-step explanation:

convert to pi.

Answer:

1011

Step-by-step explanation:

3x^2 + 2y^2 x^2 - 2y^2

3(7)^2 + 2(3)^2 3^2 - 2(7)^2

3(7^2 + 2 x 3 x 7^2 - 2 x 3)

3(7^2 +6 x 7^2 - 6)

3(7 x 7^2 - 6)

3(7^3 - 6)

3(343 - 6)

3(337) = 1011

​

Answer:

Fermat FC won 27 games.

Step-by-step explanation:

Convert percentage to fraction

45% --> 45/100

Multiply the fraction by the dividend

45/100 x 60 = 27

Answer:

10 or -2 (Both work)

Step-by-step explanation:

Solve the equation |x - 4| = 6:

|x - 4| = 6

Now do the inverse operation of negative 4 to get positive 4.

|x - 4| = 6

  + 4  + 4

|x| = |10|

x = 10

Answer:

beby sing of lain ting is day lrk jih

Answer:

Jackie: 11

Paula: 19

Step-by-step explanation:

11+19 = 30

Answer:

Step-by-step explanation:

The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.

Use the  tan of the angle so formed (which is 30 degrees)

Tan(30)= opposite / height (which is the line you just drew).

Tan(30) = 3.5 / h

Tan(30) = 0.5774

Tan(30) = 3.5 / h                multiply both sides by h

h*Tan(30) = 3.5                  Divide by tan30

h = 3.5 / Tan(30)

h = 3.5 / 0.5774

h = 6.062

Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.

Area of 1 triangle = 1/2 * b * h

area of 1 triangle = 1/2 * 7 * 6.062

Area of 1 triangle = 21.2176

There are 6 such triangles so multiply that number by 6

Answer:  6 * 21.2176

Answer:  127.31