Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw
$1,490.00 each month to pay for living expenses. After a certain amount of time, the balance in Laura's account is $391,835.00.
How many months have passed since Laura retired?

Answer:

The Least common multiple of 12 and 20 is 60!

Step-by-step explanation:

Hope this Helps!

Answer:

[tex] area = 380~cm^2 [/tex]

Step-by-step explanation:

[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]

[tex] \dfrac{a}{\sin 30^\circ} = \dfrac{28}{\sin 25^\circ} [/tex]

[tex] a = \dfrac{28 \sin 30^\circ}{\sin 25^\circ} [/tex]

[tex] a = 33.13 [/tex]

A + B + C = 180

30 + B + 25 = 180

B = 125

[tex] area = \dfrac{ac \sin B}{2} [/tex]

[tex] area = \dfrac{33.12 \times 28 \sin 125^\circ}{2} [/tex]

[tex] area = 380~cm^2 [/tex]

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

The most likely step would be choice 1: 3x = 16 because in step 3, you should add 3 on both sides. So, 3's would cancel out on the left side and you solve for 13 + 3 = 16. Thus, the answer would be 3x - 16. Hope this helps :)

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Answer:

Mean: 5, Median: 5, Mode: 5,  Range: 4

Step-by-step explanation:

Mean: 5

5 + 4 + 6 + 3 + 7 + 5 = 30

30/6 = 5

Median: 5

3, 4, 5, 5, 6, 7,

Mode: 5

3, 4, 5, 5, 6, 7

2 fives

Range: 4

7 - 3 = 4

Answer:

$88.00

Step-by-step explanation:

66=3/4x

66/.75=66*4/3=88

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

[tex]\frac{3}{4}mile = 1 day[/tex]

Let's multiple it by 4.

[tex]\frac{3}{4} (4)[/tex]

Find common factor of both 4 to simplify, so of course 4.

[tex]\frac{3}{1} (1)[/tex]

Multiply across and the number should be 3! Hope that helped

Answer:

$90

Step-by-step explanation:

Variable x = Less Expensive Shoe

Variable y = More Expensive Shoe

Set up equations:

x + y = 138

x + 42 = y

The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.

x + x + 42 = 138

Combine like terms

2x + 42 = 138

Subtract both sides by 42 to isolate variable x

2x = 96

Divide both sides by 2 to isolate variable x

x = 48

Substitute variable x for 48 and solve for y. I will use the second equation for this.

48 + 42 = y

Combine like terms

90 = y

I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

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Answer:

b is increased by 17% : A and E

b is decreased by 17%: H and J

Step-by-step explanation: took the test

A speed rate….=constant of proportionality

A number, k……=unit rate

A ratio…………….=slope

Answer:

Step-by-step explanation:

A speed rate = constant of proportionality

A number, k = unit rate

A ratio = slope

Answer:

336 m squared

Step-by-step explanation:

To do this we can first find the area of one face of the prism and multiply it by all the other triangular faces

(4*12)*4=192

then can find the area of the square underneath

12*12=144

then add them together

192+144=226

9514 1404 393

Answer:

  38.6 mi

Step-by-step explanation:

The law of sines applies.

  b/sin(B) = a/sin(A)

  a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)

  a ≈ 38.6 mi

Airplane b is about 38.6 miles from the airport.

_____

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

that would be 6

x = 6

Step-by-step explanation:

Radius.

Step-by-step explanation:

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

[tex](a)\ 2x * 2x = 4x[/tex]

This is incorrect because:

[tex]2x * 2x = 2 * 2 * x*x[/tex]

[tex]2x * 2x = 4x^2[/tex] ---- fixed

[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]

This is incorrect because:

[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]

[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]

[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed

[tex](c)\ 4x(4x + 5) =8x + 5[/tex]

This is incorrect because:

[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]

[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed

Answer:

x=23

Step-by-step explanation:

Answer:

3 ^7

Step-by-step explanation:

7 goes in the box

you could do 5 + 2 and that is 7

Answer:

pretty sure you're supposed to put 7 in the box bc when multiplying numbers with exponents you add the exponents

Step-by-step explanation:

sorry if I'm mistaken

Answer:

Step-by-step explanation:

70.699125

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions