Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?

Answers

Answer 1

Answer:

$218.40

Step-by-step explanation:

i=prt

i=(5200)(.042)(1)


Related Questions

If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?

Answers

Answer: 54.43

Step-by-step explanation:

381 / 7

Write a quadratic function with a vertex at (-9,13).

Answers

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

y = (x+9)^2+ 13

Hope that helps.

Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84​

Answers

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

Answer:

D

Step-by-step explanation:

lesser value -------    < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

How many servings of
cups are in 33 cups of ice cream?

Answers

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)

Answers

The value of the expression using BODMAS rule is 9.

What is simplification?

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

help me with this please I don't exactly get it

Answers

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down

Answers

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

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Can someone explain this step by step

Answers

Answer:

Step-by-step explanation:

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

Complete 4 A,B 9 for points.

Answers

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect

Answers

Answer:

[tex]n > 1[/tex]

Step-by-step explanation:

Given

Statement: 4x n is greater than 4

Required

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

Bringing these two together, it gives the following

[tex]4n > 4[/tex]

Divide through by 4

[tex]\frac{4n}{4} > \frac{4}{4}[/tex]

[tex]n > 1[/tex]

We've arrive at solution;

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have n as a number.

4n > 4

Plug n = 5

20 > 4 (true)

Plug n = 9/5

36/4 > 4

9 > 4 (true)

Plug n = 3

12 > 4 (true)

Plug n = 7/8

28/8 > 4

3.5 > 4  (false)

Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

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Solve the system using elimination and describe your steps.

3x + y = 9
5x + 4y = 22
-------------------

Answers

Answer:

x = 2,  y=3

Step-by-step explanation:

3x + y = 9

5x + 4y = 22

Multiply the first equation by -4

-4(3x + y) = 9*-4

-12x -4y = -36

Add this to the second equation to eliminate y

-12x -4y = -36

5x + 4y = 22

---------------------------

-7x    = -14

Divide each side by -7

-7x/-7 = -14/-7

x = 2

Now find y

3x+y = 9

3(2) +y = 9

6+y = 9

Subtract 6 from each side

-6+6 +y = 9-6

y = 3

Answer:

x = 2, y = 3

Step-by-step explanation:

3x + y = 9 (1)

5x + 4y = 22 (2)

Multiply equation (1) by -4 and add to equation (2)

-12x - 4y = -36

5x + 4y = 22

-7x = -14

x = 2

Using any equation, solve for y

5(2) + 4y = 22

4y = 12

y = 3

What is the surface area of this design?

Answers

Answer:

440 inches squared - the last option

Step-by-step explanation:

Step 1. Surface area of top square.

5 x 5 = 25 inches sq

Step 2. Surface area of the 4 sides of the cuboid.

5 x 8 = 40 inches sq

40 x 4 = 160 inches sq

Step 3. Surface area of the large square.

10 x 10 = 100 inches sq

100 - 25 (because it's being covered) = 75 inches sq

Step 4. Surface area of the 4 sides of the large flat cuboid.

2 x 10 = 20 inches sq

20 x 4 = 80 inches sq

Step 5. (OPTIONAL) Surface area of the bottom

10 x 10 = 100 inches sq

Step 6. Add up all.

25 + 160 + 75 + 80 (+ 100 if including the base) = 340

We can conclude that we have to include the base as well because 340 inches sq is not an option listed.

340 + 100 = 440 inches sq

440 inches sq is the last option

Hope this helps :)

What is the value of x? Leave answer in simplest radical form.
8
60°

Answers

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !

Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed

Answers

Answer: 3.21%

Step-by-step explanation:

Interest = (1/t)(A/P - 1)

The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.

Answers

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]

Step one

isolate radius

[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.

Solve this brain teaser, please!!!

Answers

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

1. which is greater value 0.4 3/4 0.15

2. which is least value 2 and 2/3, 2.45, 2 and 2/5

3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL

Answers

1.) 3/4, 2.) 2 and 2/3, 3.) 3.95

A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle

Answers

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

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What if the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

How to change miles per hour to feet per second?

Answers

Answer:

1 mph = 1.46666667  fps

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...

Answers

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

Question 5 (1 point)

Answers

Answer:

B. [tex]\frac{d + 13}{d + 4}[/tex]

Hope this Helps :)

What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!

Answers

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!


People use water to​ cook, clean, and drink every day. An estimate of 17.2​% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking​, how many gallons do they use every​ day?

Answers

What even is the 4 I guess

The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.



C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?



{I only need help on part C}

Answers

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

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