If you need ten years from now, what is the minimum amount of money you need to deposit into a bank account that pays annual interest, compounded as follows.

Answer c -step explanation:

The recursive rule that best describes the sequence 3, 14, 36, 80, ...is [tex]a_{n} =2a_{n-1} +8[/tex].

A sequence is a particular order in which related things follow each other.

Let us cross-check the recursive rule [tex]a_{n} =2a_{n-1} +8[/tex]....(1)

Given sequence is: 3, 14, 36, 80, .....

Put n=1, 2, 3 in (1)

[tex]a_{2} =2a_1+8\\a_{2} =2*3+8\\a_{2} =14[/tex]

[tex]a_{3} =2a_2+8\\a_{3} =2*14+8\\a_{3} =36[/tex]

[tex]a_{4} =2a_3+8\\a_{4} =2*36+8\\a_{4} =80[/tex]

We are getting the sequence as 3, 14, 36, 80, ..... i.e. same as the given sequence.

Therefore, the recursive rule that best describes the sequence 3, 14, 36, 80, ...is [tex]a_{n} =2a_{n-1} +8[/tex].

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Answer:

simplify and subtract what

Step-by-step explanation:

Answer:

tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

Step-by-step explanation:

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a right triangle, the leg adjacent to an angle of 23° is 12 cm long. The triangle is given below.

Let 'x' be the opposite side of the angle 23°. Then the value of the variable 'x' is given as,

tan 23° = x / 12

Simplify the equation, then we have

tan 23° = x / 12

0.4244 = x / 12

x = 0.4244 · 12

x = 5.1 cm

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

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Answer:

A. 2

Step-by-step explanation:

y = 2m + 6

          - _2_

     _2m_ =  _4_

        2           2

m = 2

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Answer:24-12=12

Step-by-step explanation:

paso a paso

Step-by-step explanation:

tienes que saber cuanto le quito al otro por que

el primero es 168 y el otro es 138 cubro le quito 30 y el otro

es 123 igual tienes que quitarle tal ves es sumarle primero y después 2 de restarle

espero que te sirva

Answer: 2592in

Step-by-step explanation: To find the area, we multiply all the numbers together.

Or... you can multiply them separately and multiply the product. Look below.

6 x 6 = 36

4 x 18 = 72

72 x 36 = 2592in

Answer:

a) 14

=14 x 16 ounces

= 224

b) 18.2 x 1 kilogram

= 18.2 x 1000 grams

= 18200

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

since 108+72 is 180 and angles on a line is 180

Answer:

3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

This one is easier than others because it has the same denominator (bottom number).

All you have to do is subtract the numerators (top numbers) and keep the denominators the same!

4/5 - 1/5 = 3/5

I hope this helps, and have a great day!

Answer:

x translated 7 units to left and y translated 8 units down

Step-by-step explanation:

9514 1404 393

Answer:

  translates the figure 7 units left and 8 units down

Step-by-step explanation:

You know that increases in x-coordinate move a point to the right. So, decreasing the x-coordinate by 7 units will move a point to the left by 7 units.

Likewise, increasing the y-coordinate will move a point up. So, decreasing the y-coordinate by 8 units moves the point down 8 units.

The transformation ...

  (x, y) ⇒ (x -7, y -8)

translates the figure 7 units left and 8 units down.

Answer:

2.5 cm

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

B. (x, y) → (-x,-y)

This rule is given triangle is reflection  about origin or

 Rotation clockwise or counter clock wise with 180°

Step-by-step explanation:

Explanation:-

A triangle has coordinates at X(3,7),Y(6,7) and Z(4,2)

The Rule ( x, y)→ ( - x, -y)

This rule is given triangle is reflection  about origin or Rotation clockwise or counter clock wise with 180°

X( 3,7) → X¹ ( -3,-7)

Y(6,7) → Y¹ (-6,-7)

Z(4,2) → Z¹( -4 ,-2)

Answer:

72

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i took the test

Answer:

y = 1/2x -2

Step-by-step explanation:

y=mx+b

"m" is the slope, in this case 1/2

"b" is the y intercept (the point on the y-axis), which in this case is -2

Answer:

y = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Hope I could help.

Answer:

C= constant of variation

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

number 1 : 5/12

Step-by-step explanation:

Answer:

1/2 or 6/12

Step-by-step explanation:

By multiplying the numerator and denominator together, we get 6/12, and when we simplify that we get 1/2, our answer.

Answer:d=4

Step-by-step explanation:

Answer:

x=9.957

2(2.7182823)x=400

x=9.957

Answer:

1.766

Step-by-step explanation:

got it right on the test

Answer:

49+112=161

Step-by-step explanation:

first find the base b^2 which is 7^2 which is 49, then find one of the side then * 4 which is 7*8/2*4=112, add them together gets 161. Done!

Answer:

£3,543.54

Step-by-step explanation:

Amount after 2 years = Principal + interest

Get the interest

Interest = PRT/100

Interest = 3003 * 9 * 2/100

Interest = 3003 * 18/100

Interest  = 30.03 * 18

Interest  = 540.54

Amount after 2 years = 3003 + 540.54

Amount after 2 years = £3,543.54

Answer:

x-8<_5

Step-by-step explanation:

9514 1404 393

Answer:

  5)  (x, y) = (10, -1)

  6)  (x, y) = (5, 6)

Step-by-step explanation:

5) y coefficients are opposites, so y can be eliminated by adding the two equations.

  (x -y) +(2x +y) = (11) +(19)

  3x = 30 . . . . . simplify

  x = 10 . . . . . . . divide by 3

Using the second equation, we can find y:

  2(10) +y = 19

  y = -1 . . . . . subtract 20

The solution is (x, y) = (10, -1).

__

6) The x-coefficients are the same, so we can eliminate the x-term by subtracting the second equation from the first. We choose to do it that way so the y-coefficient ends up positive.

  (-6x +6y) -(-6x +3y) = (6) -(-12)

  3y = 18 . . . . . . simplify

  y = 6 . . . . . . . . divide by 6

Using the first equation to find x, we have ...

  -6x +6(6) = 6

  x -6 = -1 . . . . . . . divide by -6

  x = 5 . . . . . . . . . add 6

The solution is (x, y) = (5, 6).

The other endpoint is (-3, -3).

Option A is the correct answer.

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two endpoints.

We have,

Distance between the points = 8 units

One endpoint = (5, -3) = (a, b)

Another endpoint = (c, d)

Now,

Substituting the values.

Distance =  [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

Now,

We have to check each point.

(-3,-3) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(-3 - 5)^2 + (-3 + 3)^2}[/tex]

8 = [tex]\sqrt{(-8)^2[/tex]

8 = √64

8 = 8

This is true

(-3,-11) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(-3 - 5)^2 + (-11 + 3)^2}[/tex]

This is not true.

(5,8) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(5 - 5)^2 + (8 + 3)^2}[/tex]

This is not true.

(8,-3) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(8 - 5)^2 + (-3 + 3)^2}[/tex]

This is not true.

Thus,

(-3,-3) is the other endpoint.

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Answer:

whats the question?

Step-by-step explanation:

Answer:

obtuse isosceles

Step-by-step explanation:

isosceles angles