Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

Answer:

hey how much mark he scored in 9th exam give proper data or how many subject there

Answer:

I don't get it what is the question ❓

Answer:

Ok!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I honeslty don't know any of this but it is probably comparing parrallel lines.

Answer:

(3, 6)

1/3

y = -3x +15

Step-by-step explanation:

you do this step by step.

just think what you need. and then you get all of that one after the other.

so, we need the middle point between D and O.

for this we need to know the length of DO.

and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.

so, length of DO.

Pythagoras for the triangle of the differences between the individual coordinates.

DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160

DO = sqrt(16×10) = 4×sqrt(10)

the distance D-middle is half of DO = 2×sqrt(10)

DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²

=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :

(-3 + 6, 4 + 2) = (3, 6)

the slope of DO

the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.

for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.

so, the slope is 4/12 = 1/3.

perpendicular slope of 1/3

we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.

so, the perpendicular slope is -3/1 = -3

the equation of the perpendicular line through the middle point is

y = -3x + c

for c we need to use the coordinates of the middle point (3, 6)

6 = -3×3 + c

6 = -9 + c

c = 15

so our line is

y = -3x + 15

Answer:

????

Step-by-step explanation:

The number of hours he works is missing???

Answer:

B

Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got a 100%

Answer:

1: 5

2: 67

3: 65

4:  30

5: 210

6: 210

Step-by-step explanation:

Answer:

A. 7/2      B.y - 0 = 7/2(x + 2)

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - 0 / 0 - (-2)

7 / 2

= 7/2

y - 0 = 7/2(x + 2)

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

Answer:

-2

Step-by-step explanation:

(fxg)(0)

= f(0) x g(0)

so (fxg)(0) = -2

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

(a) [tex]a+b-c\\-2+-3-4\\-5-4\\-9[/tex]

(b) [tex]b+c^3\\-3+4^3\\-3+64\\61[/tex]

(c)[tex]\frac{3b^2-c^2+a^2}{-3abc} \\\frac{3(-3)^2-(4)^2+(-2)^2}{-3(-2)(-3)(4)} \\\frac{3(9)-16+4}{6(-3)(4)} \\\frac{27-16+4}{-18(4)} \\\frac{11+4}{-72} \\\frac{15}{-72} \\-\frac{5}{24}[/tex]

Answer:

The answer to (A) is -9.

The answer to (B) is 61.

The answer to (C) is [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Step-by-step explanation:

For problem (A), which is [tex]a+b-c[/tex], in order to solve for this problem, plug in the information given from the question. The problem will look like [tex](-2)+(-3)-(4)[/tex]. Solve the problem by first adding (-2) + (-3), which equals (-5), and then, solve for (-5) -(4), which equals -9. The final answer for problem (A) will be -9.

For problem (B), which is [tex]b+c^{3}[/tex], start by plugging in the information given from the question. The problem will look like [tex](-3)+(4)^{3}[/tex]. Solve the problem by cubing 4, which equals 64, and then, solve for (-3)+(64), which equals 61. The final answer for problem (B) will be 61.

For problem (C), which is [tex]\frac{3b^{2}-c^{2}+a^{2} }{-3abc}[/tex],  start by plugging in the information given from the question. The problem will look like [tex]\frac{3(-3)^{2}-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Solve the problem by first simplifying the numerator.

To simplify the numerator, raise -3 to the power of 2, which will equal 9, and multiplying 3 by 9, which will look like [tex]\frac{27-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Next, raise 4 to the power of 2, which equals 16, and multiply -1 by 16, which will look like [tex]\frac{27-16+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. The next step is to raise -2 to the power of 2, which will look like [tex]\frac{27-16+4 }{-3(-2)(-3)(4)}[/tex]. Then, subtract 16 from 27, which equals 11, and add (11) + (4), which equals 15. The numerator equals 15.

Next, simplify the denominator. First, multiply -3 by -2, which equals 6, and the problem will look like [tex]\frac{27-16+4 }{6(-3)(4)}[/tex]. Then, multiply 6 by -3, which equals -18, and the problem will look like [tex]\frac{27-16+4 }{-18(4)}[/tex]. The next step is to multiply -18 by 4, which equals -72, and the denominator will equal -72.

Then, reduce the expression by cancelling the common factor, and the common factor is 3. The final answer will be [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

Answer:

Step-by-step explanation:

shipping container is in the shape of a Right rectangular prism with the length of the 12 feet away the 8.5 feet and the height of 4 feet. The container is completely filled with contents that weigh on average 0.25 pounds per cubic foot what is the weight in pounds of the contents in the container

Right rectangular prism is a cuboid

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Content Density = 0.25 pounds per cubic foot

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

a is the answer because I just did that question and got 100 percent.

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

Answer:

25.000

Step-by-step explanation:

75.000(2/3) = 50.000

75.000-50.000= 25.000

Answer:

6 is length and 2 is width.

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]A)\text{ } y-4=3(x+2)[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

to find y you have to do trigonometry

Answer:

3

Step-by-step explanation:

The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,  

y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!

Answer:

3

Step-by-step explanation:

To find the slope given two points, we use the slope formula

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

m = ( 2 - -7)/(-5 - -8)

   = (2+7)/( -5+8)

  9/3

  3