Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

What is the input?

Answer:

55

Step-by-step explanation:

all of the angles in a triangle ALWAYS add up to 180 degrees.

do the math.

Answer:

-4

Step-by-step explanation:

Let say other number is 'x'

Equation:-

4(2 + x) = -8

8 + 4x = -8

4x = - 16

x = - 16/4

x = - 4

Answer:

10/18

Step-by-step explanation:

Multiply both the numerator and denominator by 2

Answer:

37.14 units

Step-by-step explanation:

the whole circumference of a circle is 2×pi×r

a whole circle rotates 360 degrees (one time all around).

so, the length of the arc for a full trip (360 degrees) around a circle is the stated 2×pi×r.

now, if we go only for a part of that full trip angle, the arc is only the corresponding part of the circumference.

in our example here, r (radius) = QR = 19 units

and we only go along the circle for 112 degrees out of the full 360 (112 parts of the whole 360).

so the arc QS = 2×pi×19 × 112/360 = 37.14 units

Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

Answer:

I believe that the answer is 80X (or C)

Step-by-step explanation:

it looks like it is just under a right angle so i believe that it would be 80X

Answer:

y=6x

Step-by-step explanation:

looks like something around 14, yet not quite sure

Answer:

dang good luck

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

P of a square is P =4s

A of a square is A = s^2

4s = s^2

Divide each side by s

4s/s = s^2/s

4 =s

Answer:

I think it is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

3 hour 30 minutes : 36 minutes

1 hour = 60 minutes

3 hour = 3×60 minutes = 180 minutes

3hour 30 minutes = 180 minutes + 30 minutes

                               = 210 minutes

210 minutes : 60 minutes

3 hours 30 minutes : 60 minutes = 6:2

Answer:

y=2x-7

Step-by-step explanation:

Using rise/run method, its 16/8, equal to 2 so the gradient is 2x and it passes y-intercept, -7 so the equation is y=2x-7

Answer:

(c) 4

Step-by-step explanation:

Given

The piecewise function

Required

The value in f(x) domain

The domain of f(x) is:

[tex]-6 < x \le 0[/tex] and [tex]0 < x \le 4[/tex]

Combine both inequalities:

[tex]-6 < x \le 4[/tex]

List the values of the inequality

[tex]-6 < x \le 4 = \{-5,-4,-3,-2,-1,0,1,2,3,4\}[/tex]

From the list of given options

Only 4 is among the domain

Others are not

Answer:

Step-by-step explanation:

BC=[tex]\sqrt{5^2+5^2}[/tex]

x   =[tex]\sqrt{50}[/tex]

x   = 5[tex]\sqrt{2}[/tex]

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Step-by-step explanation:

BC=\sqrt{5^2+5^2}52+52

x   =\sqrt{50}50

x   = 5\sqrt{2}2

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Answer:

Point a

negative means on a number line to the left side

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

Answer:

(776) (2y-4)²

(776) (4y²-8y-8y+16)

(776)(4y²-16y+16)

=3104y²-12416y+12416

Work Shown:

4(x+2) + 6x

4x+8 + 6x

(4x+6x) + 8

10x+8

Answer:

d = 12

Step-by-step explanation:

d- 6 = 6

Add 6 to each side

d- 6+6 = 6+6

d = 12

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]C)\text{ } d=12[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'd'....}}\\\\\rightarrow d - 6 = 6\\\\\rightarrow d - 6 + 6 = 6 + 6\\\\\rightarrow \boxed{d = 12}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

53

Step-by-step explanation:

38+15 ?

Answer:

53

Step-by-step explanation:

This is very easy -

Mom's cookies + Eleni's cookies = total number of cookies

38 + 15 = total

                         38

                    +   15    

                         53 cookies total

Good Luck!

Hope this helps!

:)

Answer:

a) 360 mice

b) 364 mice

Step-by-step explanation:

Assume :

A = number of infected mice , B = number of non-infected mice

P( infected mice overcoming infection ) = 70% = 0.7

P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3

P( mice becoming infected ) = 40% = 0.4

P ( mice not becoming infected ) = 1 - 0.4 = 0.6

Number of infected mice = 400

Number of non-infected mice = 1000 - 400 = 600

step 1 ; express the probabilities in matrix form

[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]

[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]

step 2 : multiply the matrix above to determine the number of mice that will be infected

a) For next week

PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]

i.e. 360 mice will get infected next week

next 2 week = P ( PX )

= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]

b) In 3 weeks time

P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]  

               = [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]

i.e.  364 mice will get infected in 3 weeks time

Answer:

[tex]A\approx 159.6[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).

2. Find the area of the rectangle

The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.

As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,

[tex]A=(length)(width)\\[/tex]

Substitute,

[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]

Simplify,

[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]

3. Find the area of the semi-cricle

Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)

[tex]A=\frac{(\pi)(r^2)}{2}[/tex]

Substitute,

[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]

Simplify,

[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]

4. Find the total area

To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,

[tex]A=A_r+A_s\\[/tex]

Substitute,

[tex]A=140+19.635[/tex]

Simplify,

[tex]A=159.635[/tex]

[tex]A\approx 159.6[/tex]

Answer:

36 possible designs

Step-by-step explanation:

3 x 3 = 9

9 x 4 = 36

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25