Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?

Answers

Answer 1

By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08

What was her average daily balance?

We know that:

On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53

So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.

Then over the 31 days of August, the average daily balance will be:

[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]

So in August, her average daily balance was $373.08

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Related Questions

The radius of a semicircle is 4 miles. What is the semicircle's area?

Answers

Answer:

8[tex]\pi[/tex] miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= [tex]\pi r^{2}[/tex]

Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]

Half of this area, because what you're looking for is a semi-circle, is:

8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.

In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____. A. 0° b. 32° c. 100° d. 273°.

Answers

The thermometer is a device that is used to measure the temperature gradient. Anders needs to set the boiling point of water at 100° C.

What is a thermometer?

The thermometer is a device that is used to measure the temperature gradient or the temperature of a body/object.

The boiling point of water is 100°C, therefore, Anders needs to set the boiling point of water at 100° C.

Thus, Anders needs to set the boiling point of water at 100° C.

Learn more about Thermometers:

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Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.

Answers

Additional requirements in figure :-

Mark point :-

ABCDE

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

✿Now let the left angle be x

90° +90° + 90° + x = 360° 180° + 90° + x = 360°270° + x = 360x = 360° - 270°x = 90°

we know :

Area of rectangle = Length × Breadth

STEPS :

Area of rectangle = Length × Breadth

Area of rectangle = 7 × 8

Area of rectangle = 56 in²

Now let's find EF :

EF = BD - EC

EF = 7 - 4

EF = 3 in

To find A

F :

A•F = AB - CD

A•F = 12 - 8

A•F = 4 in

In triangle AFE:

EF is base of triangle A•F is height of triangle

We know :

Area of triangle =( Height × Base)/2

Steps :

Area of triangle = (Height × Base)/2Area of triangle = (4 × 3)/2Area of triangle = 12/2Area of triangle = 6 in²

To find area of figure :

Area of figure = Area of rectangle + Area of triangleArea of figure = 56 + 6Area of figure = 62 in²

______________________

~WindyMint

Answer:

[tex]\displaystyle 62\:in.^2[/tex]

Step-by-step explanation:

▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]

▯ [tex]\displaystyle hb = A[/tex]

All edges meet at right angles, therefore resulting in this:

[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]

I am joyous to assist you at any time.

Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.

How long is the train ride?

Answers

Answer:4:15

Step-by-step explanation:

EZ

Knowing that ΔBIG ≅ ΔFNS, an angle pair that is NOT necessarily congruent is:

Knowing that ΔDAL ≅ ΔEKS, a side pair that is NOT necessarily congruent is:

Answers

solutions:

1) G ≅ F

2) DA ≅  ES

Explanation:

Q)1

ΔBIG ≅ ΔFNS

pairs that are congruent:

B ≅ FI ≅ NG ≅ S

From the list given,

→ G ≅ F is not necessarily congruent.

Q)2

ΔDAL ≅ ΔEKS

pairs that are congruent:

DA ≅  EKAL ≅  KSDL ≅  ES

From the list given,

DA ≅  ES  is not necessarily congruent.

Usually the congruence is done according to naming

So

∆BIG≅∆FNS

<B=F

<I=<N

<G=<S

Option A

#2

Check the naming

∆DAL≅∆EKS

So

DA=EK

And DA may not be equal to ES

So option D

HELP PLEASE I NEED IT NOW.

Answers

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

The photo is shown below, please help!

Answers

Answer/Explanation:

The formula for a rectangular prism is Length x Width x Height

With this information we can multiply 6x8x2 and get 96 ft³.

This is the volume of the original prism.

Doubling the dimensions means multiplying each side by 2.

The new dimensions would be a.16 b.4 c.12

Use the formula to find volume. 12x16x4=768

The volume of the enlarged prism is 768 feet³

For bonus question, divide 768 by 96.

The scale factor is 8.

What ratio forms a proportion with 2/3?
A. 2/4 B. 3/4 C. 4/6 D. 3/2

Answers

Answer:

c

Step-by-step explanation:

because you can simplify 4/6 by 2.

2 goes into 4 twice and then 2 goes into 6 3 times

2/3

Does anyone know the answer?​

Answers

Answer:

I think the answer must be c because the length is 6\5 feet so there no chances to be the answer is more than so the base is divited and the ft should be multiplied

Ralph plotted the points (-4, 1) and (-4,-1) on a coordinate grid. What is the distance,
in units, between the points Ralph plotted?
a 1
B -2
C 2
D 0

Answers

I think the answer is c I hope this helps

please help with angle addition

Answers

Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot

Answers

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

What is the simplified form of an equation?

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Let the simplified form of the above expression is n. Thus,

[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Rewrite the equation to solve it further as,

[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]

The square of the term cancel out the square root of it. Thus,

[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

Learn more about the simplified form here;

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Gabrielle is saving money for a vacation. Each week she save $40. Let a represent the total amount of money Gabrielle saves, and let w represent the number of weeks. How much money would she save from 1 to 7 weeks?

Answers

Step-by-step explanation:

A = 40w

To Calculate how much she would get in 7 weeks

Substitute w = 7 into A = 40w

⇒ A = 40(7)

⇒ A = 280

Gabrielle would save $280 in 7 weeks

. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.

2. how many bacteria cells will be present in the dish after 3 hours?


3.how many bacteria cells will be present after 12 hours?

Answers

Answer:

you first divide fifty out of one hundred then we multiply it by thirty

PLS HELP ME I WILL MARK THE BRAINLIEST

Answers

#1

First the rectangle

L=18mB=7m

Area

18(7)126m^2.

For semicircle

d=7m=>r=3.5m

Area

=πr^2/2=12.25π/2

Total area

126+2(12.25π/2)126+12.25πm^2

#2

r=15fttheta=332°=332×π/180=0.92π

Area:-

r^2\theta15^2(0.92)207ft^2

Solve for m.
m/9 + 2/3 =7/3

Answers

Answer:

m= 15

Step-by-step explanation:

[tex] \frac{m}{9} + \frac{2}{3} = \frac{7}{3} [/tex]

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

[tex] \frac{m}{9} = \frac{7}{3} - \frac{2}{3} [/tex]

Simplify:

[tex] \frac{m}{9} = \frac{5}{3} [/tex]

Multiply both sides by 9:

[tex]m = \frac{5}{3} \times 9[/tex]

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

Please Help!
In the diagram, secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
What is the length of AP?
(There are no answer options you must enter the correct value)

Answers

Answer AP might be 12

Step-by-step explanation:

The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.

The length of AP can be found using the following steps:

Draw a radius from the center of the circle to point P.

Let the radius intersect secant AP at point E.

Since AP and PE are secant segments, they share a common external tangent at point P.

Therefore, the two triangles, APE and BPF, are similar triangles.

The ratio of corresponding sides in similar triangles is equal, so:

AP/PB = PE/PF

We know that PB = 5 and PF = 20, so:

AP/5 = PE/20

Solving for AP, we get:

AP = 5 * 20/5 = 20

The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.

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#SPJ2

(1/10 * 1/10 * 1/10) = (- 10) ^ 3
Is it true or false

Answers

Answer:

  False

Step-by-step explanation:

The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.

  (1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3

The given equation is FALSE.

__

This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.

Find the size of angle x.

Answers

Answer:

x = 115°

Explanation:

x + 81° + 164° = 360°x + 245° = 360°x = 360° - 245°x = 115°

Answer:

x=115°

Step-by-step explanation:

whole thing is supposed to = 360° so

164+81+x=360

245+x=360

x=115

Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?

Answers

let’s divide 48 by 16 to see how many cents per inch of wire. 48/16=3 so it costs 3 cents per inch of wire. now all we have to do is multiply 47 by 3, and you will get 141 cents, or $1.41.

solve- cbb to work it out

Answers

Answers:

➝ Hypotenuse of triangle ( a ) = 21.63 mm

➝ Hypotenuse of triangle ( b ) = 150 mm

➝ Hypotenuse of triangle ( c ) = 111.80 mm

[tex] \quad\rule{300pt}{1.5pt}\quad[/tex]

Solution:

We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

Pythagoras theorem states that :

" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "

[tex] \qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}[/tex]

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

For triangle ( a )

[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex]

[tex] :\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex]

[tex] :\implies\qquad \sf{ h= \sqrt{144 + 324}}[/tex]

[tex] :\implies\qquad \sf{ h = \sqrt{468}}[/tex]

[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}[/tex]

For triangle ( b )

[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex] :\implies\qquad \sf{h =\sqrt{b^2 + p^2} }[/tex]

[tex] :\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{8100+14400}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{22500}}[/tex]

[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }[/tex]

For triangle ( c )

[tex] :\implies\qquad \sf{h^2 = b^2 + p^2 }[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{10000+2500}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{12500}}[/tex]

[tex] :\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }[/tex]

Answers:

Hypotenuse of triangle ( a ) = 21.63 mm

Hypotenuse of triangle ( b ) = 150 mm

Hypotenuse of triangle ( c ) = 111.80 mm

Explanation :

find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

[tex]h^2 = b^2 + p^2[/tex]

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

[tex]For \: \: triangle ( a )

\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex]\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex][tex]\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex][tex]\qquad\sf{h=\sqrt{ (12)^2 + (18)^2 }} \\ \\ \qquad \sf{ h= \sqrt{144 + 324}} \\ \\ \qquad \sf{ h = \sqrt{468}}

\\ \\\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}} \\ \\ For \: \: triangle ( b ) \qquad \sf{ h^2 = b^2 + p^2} \\ \\ \qquad \sf{h =\sqrt{b^2 + p^2} } \\ \\ \qquad \sf{ h = \sqrt{(90)^2+(120)^2}} \\ \\ \qquad \sf{ h=\sqrt{8100+14400}} \\ \\

\qquad \sf{ h =\sqrt{22500}} \\ \\\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} } \\ \\ For \: \: triangle ( c ) \qquad \sf{h^2 = b^2 + p^2 } \\ \\ \qquad \sf{ h=\sqrt{b^2 + p^2}} \\ \\\qquad\sf{ h=\sqrt{(100)^2)+(50)^2}} \\ \\\qquad\sf{ h=\sqrt{10000+2500}} \\ \\ \qquad \sf{ h =\sqrt{12500}} \\ \\

\qquad\underline{\underline{\pmb{\sf{h = 111.80mm}}} } [/tex]

I’ll give you brainiest who ever answer this right

Answers

Answer:

y=x+1

Step-by-step explanation:

at each x you move up by 1

– Using the order of operations, which operation should you perform last to evaluate this expression? (1 x 2.5) + (52-13) + (6.7 - 5) - (98+8) A Addition B Subtraction © Multiplication D Division​

Answers

Considering the order of operations, the operation that should be performed last is given by:

B Subtraction.

What is the order of operations?

The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.

In this problem, the expression is:

(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)

Solving the operations inside the parenthesis, the expression will be given by:

2.5 + 30 + 1.7 - 90

Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.

More can be learned about order of operations at https://brainly.com/question/25909431

x = –8 –6x + 9y = 12 solve for substitution

Answers

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.

Answers

Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

Maddi wants to build a basket with a length of 2 feet, a width of
1 feet, and a depth of 2 feet. What will the volume of her basket
be, in cubic feet?

Answers

4 ft³

volume of rectangle = length x width x height

given:

length: 2 feetwidth: 1 feetdepth: 2 feet

volume of basket:

l * w * d

2 * 1 * 2

4 ft³

Answer:

4 ft³

Step-by-step explanation:

Volume of a square prism

volume = l × w × d

(where l is the length, w is the width and d is the depth)

Given:

length = 2 ftwidth = 1 ftdepth = 2 ft

⇒ volume = 2 × 1 × 2

                 = 4 ft³

(ii) Two of the lights at the local stadium start flickering at 9:15 p.m. One of the lights flickers every 8
minutes and the other light flickers every 12 minutes. What time both lights flicker at the same time
again?

PLSS HELPPP

Answers

Answer:

At 9:39 they both will Flick

Step-by-step explanation:

so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time

The wholesale price desk is $153 a certain furniture store marks up the wholesale price by 38% find the price of the desk in the furniture store . Found ur answer to the nearest cent

Answers

Answer:

Step-by-step explanation:

10% = 15.30

40%=61.20

1% = 1.53

2%=3.06

61.20+3.06=64.26

153+ 64.26=217.26

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The school band director has a budget $4,428.00 to spend on the band room, instruments, music, and uniforms. There are four sections in the band: drum corps, woodwinds, horns, and color guard. She has received three offers.

Option 1. Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
Option 2. Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
Option 3. Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
The remainder of the money will be split evenly among the four sections for additional costs. Match each option with the amount of money each section will receive for additional costs.

Answers

Answer:

The amount of money left for each section to spend from the budget in additional costs if they follow exact of the

options is

Option 1-$497.5

Option 2 - $494.5

Option 3 - $500.5

The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should

be matched accordingly.

Step-by-step explanation:

We first calculate the amount left per section after following each of the options.

Budget $4,428.00

Option 1.

Repair and replace uniforms at $564.00 per section and spend $182.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(564) + 182 $2438

Amount of money left from the budget after spending= 4428-2438 = $1990

Amount left per section = (1990/4) =

$497.5

Option 2

Repair and replace uniforms at $593.00 per section and spend $78.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(593) + 78 $2450

Amount of money left from the budget after spending= 4428 - 2450= $1978

Amount left per section = (1978/4)=

$494.5

Option 3

Repair uniforms at $287.00 per

section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.

There are 4 sections, hence, total amount spent in this option:

4(287) + 856 +422 = $2426

Amount of money left from the budget

after spending = 4428-2426 = $2002

Amount left per section = (2002/4)= $500.5

(15 points )

Find the x in the problem

(x−1)^2=9

Show steps if you can :)

Answers

Answer:

x=4 or x= -2

Step-by-step explanation:

(x-1)(x-1)

x(x-1)-1(x-1)

x^2-x-x+1

x^2-2x+1=9

x^2-2x+1-9=0

x^2-2x-8=0

p= -8

s= -2

1------ -8

2------ -4

x^2+2x-4x-8=0

x(x+2)-4(x+2)

(x+2)(x-4)=0

x+2=0

x-4=0

x= -2

or

x=4

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