peyton is going to invest  $310 and leave it in an account for 16 years assuming the interest is compounded quarterly what interest rate to the nearest hundredth of a percent would be required in order for peyton to end up with $530

Answer: No Solutions

Step-by-step explanation:  

There are no values of  

x

that make the equation true.

No solution

Answer:

Section A - Ella left school

Section B - Ella climbed a steep hill

Section C - Ella stopped at a friends house

Section D - Ella walked quickly until she go home

Answer:

B. Vertex

Step-by-step explanation:

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

9514 1404 393

Answer:

  C +2D = 3s -21

Step-by-step explanation:

Use the substitution property of equality.

  C = s -5

  D = s -8

Then the value of your expression is ...

  C +2D = (s -5) +2(s -8)

  = s -5 +2s -16

  C +2D = 3s -21

Answer

The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.

I hope this helps

Answer: The maximum height the football reaches = 51.89 feet.

Step-by-step explanation:

Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.

Differentiate the given equation, we get

[tex]h'=-(2)16t+53=-32t+53[/tex]   (i)

Put [tex]h'=0[/tex]

[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]

Differentiate (i) w.r.t. t, we get

[tex]h''=-32[/tex] < 0  i.e. h is maximum at t= 1.65625

The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]

Hence, the maximum height the football reaches = 51.89 feet.

Answer:

One

Step-by-step explanation:

An equilateral triangle has equal side lengths.

With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.

The sides of the equilateral triangle can't be mixed up, they must stay the same.

Hope this helps.

Answer:

45 ways

Step-by-step explanation:

The number of ways the committee of 2 can be selected from  a group of 10 may be found using the combination theory.

10 C 2

Recall that n C r = n!/(n-r)!r!

Hence

10 C 2 = 10!/(10 -2)!2!

= 10!/8!*2!

= 10 *9 *8!/8!* 2!

= 10 *9/2 * 1

= 90/2

= 45

Answer:

45

Step-by-step explanation:

got it right on test

Answer: 3 -:- 3/4 = p

If you apply the rules keep change flip

You will keep 3/1 change divisions to multiplication and flip 3/4 to 4/3 so new equation 3/1 x 4/3 = 12/3 then 12÷3= 4 so your answer will be 4 pies

Step-by-step explanation:

Answer:

Commission 42.00

Store made $658.00

Step-by-step explanation:

Answer:

The answer is "[tex]{c=-6+3\sqrt{14}[/tex]"

Step-by-step explanation:

Given:

[tex]\to F(x) = \frac{x}{x+6} , \ [1, 12][/tex]

[tex]\to f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

As per the given intervals:

[tex][1,12]\\\\ a=1 \\ b=12.[/tex]

Calculating the values of f(a) and f(b).

[tex]\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\[/tex]

[tex]\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\[/tex]

         [tex]=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\[/tex]

[tex]\to f'(x)=\frac{6}{\left(x+6\right)^2}[/tex]

Calculating the value of [tex]\ f'(c):[/tex]

[tex]\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}[/tex]

Replacement of the values in the mean theorem of value now.

[tex]\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\[/tex]

 Apply the cross multiplication:

[tex]\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\[/tex]

Answer:

x = 21 m

Step-by-step explanation:

Tan ∅ = [tex]\frac{opposite sides}{adjacent side}\\[/tex]

[tex]tan 40 = \frac{x}{25}\\\\0.84 = \frac{x}{25}\\\\0.84*25=x\\\\x = 21[/tex]

Answer:

Riley is correct

Step-by-step explanation:

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca.

To find out the fraction of how much more Riley ate than Luca, we carry out Subtraction operation

= Fraction of what Riley ate - Fraction of what Luca ate

= 5/6 - 3/6

Lowe's Common Denominator = 6

= 5 - 3/6

= 2/6

Therefore, Riley is correct

Answer:

Step-by-step explanation:

The area of frame is 40s square units.

The measurement that conveys the size of a plane or curved surface is known as area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. The amount of material with a given thickness that would be required to create a model of the shape is known as area.

Given a frame whose inner dimesons are,

inner length = l₁ = 8 units

inner breadth = b₁ = 4s units

outer dimensions are,

outer length = l₂ = 12 units

outer breadth = b₂ = 6s units

area of frame = outer area  - inner area

area of frame = l₂b₂ - l₁b₁

area of frame = 12(6s) - 8(4s)

area of frame = 72s - 32s

area of frame = 40s square units

Hence the area of frame is 40s square units.

Learn more about area;

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Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

Answer:

if you simplify the expression you would get: -9x^3 + 10x + 4

Hope this helps:)

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

Answer:

Definition of a rational number:

Given number is:

As we see the number can be expressed as a ratio of two integers, hence it is a rational number.

Answer:

The answer is C

Step-by-step explanation:

Answer:

y=1/4x+1.5

Step-by-step explanation:

Slope is 1/4 and I figured out that the y-intercept point is 1.5y.

I am not exactly sure though

Answer:

Volume of the cylinder = 401.92 cubic units

Step-by-step explanation:

Formula to get the volume of a cylinder = [tex]\pi r^{2}h[/tex]

Radius of the cylinder = 4 units

Height of the cylinder = 8 units

By substituting these values in the formula,

Volume of the cylinder given in the picture = π(4)²(8)

                                                                       = 3.14(16)(8)

                                                                       = 401.92 cubic units

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

Answer:

11x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 0.01x+100

Answer:

yes; SAS (Side Angle Side)

Step-by-step explanation:

if you divide all sides by three they come out as the same numbers as the left triangle and they are both the same type of triangle