The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $2,580 on entertainment. What was their total budget last year?

Answers

Answer 1

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget )  = $2,580

On dividing both sides by 0.06 , we get

( Total budget )  = $2,580 ÷ 0.06

=  $43,000

Thus , their total budget for this year = $43,000

Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

= $43,000 - $3000

= $40,000

Hence, their total budget last year was $40,000.


Related Questions

what do you add to 3 6/7 to make 5

Answers

Answer:

x=8/7

Step-by-step explanation:

Let the unknown be x

So 3 6/7 +x=5

27/7 + x=5

Lcm is 7

27+7x/7=5

Cross multiply

27+7x=7×5

27+7x=35

Substrate 27 from both sides

7x=8

Make x the subject of formula by dividing both sides by 7

x=8/7

The sum of a two digit number is 8. If the digits are reversed, the number is increased by 54. What is the number.


Answers

Answer:

Let t = the tens digit and u = the units digit.

t + u = 8

10u + t = 10t + u + 54

10(8 - t) + t = 10t + 8 - t + 54

80 - 10t + t = 9t + 62

80 - 9t = 9t + 62

18t = 18

t = 1, u = 7

The number is 17.

How many times larger is a 10 pound dog than a hamster weighing five eighth pounds​

Answers

Answer:

about 16 times bigger

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

n= mass of dog/ mass of hamster

n= 10 lb/ 5/8 lb


Find The missing valaue in each of the problems

? x 10 = 10

please someone help

Answers

Answer:

1

Step-by-step explanation:

[tex]1*10=10[/tex]

1 Multiplied by any number will equal the same. If you have 1 group of ten people, how many people do you have? 10.

Hope this helps. Have a nice day. Please mark brainliest!

The missing value is 1.

if we multiply 1 and 10 then the result will be 10.

1.
3z^2+ 8z-3
in quadratic formula

Answers

Answer:

What grade of math is this?

Step-by-step explanation:

Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression

Answers

Answer:

Step-by-step explanation:

Given the expression (x+11)(2x+3)

We want to expand it and write equivalent expression

Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other

E.g, (a+b) × (c + d)

Then, we take a × (c+d) and also b × (c+d)

We can do it the other way round too and it will give the same results.

So, applying this to the given expression

(x+11)(2x+3)

x(2x+3) + 11(2x+3)

2x² + 3x + 22x + 33

2x² + 25x + 33

Then, the equivalent expression is 2x² + 25x + 33

(x + 11)(2x + 3) = 2x² + 25x + 33

Help me pls before 4 pM

Answers

Answer:

i say 12 combos

Katie is 2 yes older than tiffany. 3 years ago, the ratio of their ages is 5/4. How old is each one today? Please show your work

Answers

Answer:

28 and 23

Step-by-step explanation:

Three years ago Katie was 25 and Tiffany was 20

help me please because I don't understand it​

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

To determine the scale factor, calculate the ratio of corresponding sides in the 2 figures. Ratio is image to original.

Comparing the top horizontal segments in both, orange to black.

scale factor = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex]

Your opening balance this month was $1,664.00. In the last thirty days you made the following purchases: $27.35, $54.15, and $125.00. You are charged 15% annual interest (or 1.25% per month). If you pay a full month's interest on those purchases, what will your new balance be?

Answers

9514 1404 393

Answer:

  $1,893.88

Step-by-step explanation:

The new balance before the finance charge is added is ...

  $1664.00 +27.35 +54.15 +125.00 = $1870.50

The finance charge is then ...

  $1870.50 × 0.0125 = $23.38

So, the new balance is ...

  $1,870.50 +23.38 = $1,893.88

Answer:

$1,893.88

Step-by-step explanation:

which statements are true?

Answers

FIRST 3 OPTIONS ARE RIGHT

MARK ME BRAINLIEST AND FOLLOW ME

First 3 options are correct

It took Skylar a full minute to recall the chain of events that had brought her here,
deep into outer space. She had awoken from her deep, dreamless sleep only a few
moments before. After stretching her unused muscles, she surveyed her
surroundings, recognizing the instruments and equipment around her. Everything
had gone according to plan, and she had been asleep throughout the entire three-
year journey. Now, she had a crucial mission to carry out, one that would influence
the very course of life back on Earth.
This excerpt is the beginning of a longer work. Which describes how the plot will
most likely unfold?
1The main character will take command of the ship and return home.
2
The narrative will explain all the events in Skylar's life up to this point.
3Skylar will serve as an archetypal heroine who acts to save the world.

Answers

Answer:

3

Step-by-step explanation:

i think the answer is 3 because of the quote "now, she had a crucial mission to carry out, one that would influence  the very course of life back on Earth."

hope this helps!

Final answer:

The plot will likely focus on Skylar's crucial mission in outer space, portraying her as an archetypal heroine, with the story revealing the destabilizing condition that led her to this moment.

Explanation:

Based on the excerpt, it's most likely that the plot will involve Skylar embarking on a crucial mission that affects life on Earth, suggesting that the narrative will focus on her as an archetypal heroine. Given that she's just awakened from a three-year journey in deep space, we can infer a narrative structure that will emphasize her actions and decisions in outer space rather than detailing her entire life history or returning home immediately. The story seems poised to dive into the destabilizing condition that brought Skylar into space, likely escalating towards a central conflict related to her mission, while building empathy for her character as she navigates challenges in a foreign environment.

Which description best describes the solution to the following
system of equations? (1 point)
y = -2x + 3
y = -x + 1
Line y = -2x + 3 intersects the origin.
Line y = -2x + 3 intersects the line y = -x + 1.
Lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
Lines y = - 2x + 3 and y = -x + 1 intersect the y-axis.

Answers

The last one is the correct answer

Answer:

The correct answer is d.

Step-by-step explanation:

Hope You Have A GREAT Day Love ;)

And i hope this helps you

Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?

Whichever option you choose, justify your reasoning with mathematics.


Answers

Answer:3-lb 11-oz containers of ice cream for $23.60

Step-by-step explanation:

The 3 lb one, it’s the better deal

A certain medication comes in the form of a capsule, as
shown below. The fluid inside the capsule contains
several ingredients, including the active medication.
4 mm
nearest tenth.
V= mm3
If the density of the active medication in the liquid is
0.7 mg/mm3. how many milligrams of the active
medication are in one capsule? Round to the nearest
tenth.
mg
5.6 mm

Answers

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Reasons

Answer:

hi thereee

the answer would be

V=103.9

V=72.7

hope this helps :)

Step-by-step explanation:

i just did the assignment

Can you solve this question plz

Answers

Answer:

2)These two triangle are congruent because they have same shape and size.

1)it is explained already.

Answer:

Triangles are congruent. It explains everything in the question.

Step-by-step explanation:

What is the sum
8+{-12}

Answers

Answer: -4

Add -12+8 or 8+(-12) and get -4

Answer:

-4

Step-by-step explanation:

NOte that - × - =+

+ × +=+

- × + =-

+ × -= +

So according to the question

8+(-2)

Which means that

8((+)×(-12))

8-12

-4

Therefore the final answer is-4

Ryan bought 43 pounds of
apples for $0.75 per pound. How
much did he pay for the apples?​

Answers

Answer:32.25$

Step-by-step explanation:

0.75x43=32.25

Answer:32.25

Step-by-step explanation:

For every pound there is $.75, so you just multiply them

What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared

Answers

Answer: 123 inches squared

Step-by-step explanation:

The requried area of the triangle is 742.5 inches squared.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
To find the area of a triangle, we can use the formula:

Area = 1/2 * base * height

In this case, the base is 45 inches and the height is 33 inches. So we have:

Area = 0.5 * 45 inches * 33 inches

Area = 742.5 inches squared

Therefore, the area of the triangle is 742.5 inches squared.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ3

Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

The area of the pyramid's base is 36 square inches.

Area of base = s*s = 6*6 = 36

The pyramid has 4 lateral faces.

Count how many non-bases there are.

The surface area of each lateral face is 18 square inches.

Area of lateral face = 1/2 b*h = 1/2 9*6 = 18

The area of the pyramid’s base is 36 in² and the surface area of each lateral face is 108 in². Then the total surface area is 144 in².

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the pyramid’s base will be

Base area = 6 × 6

Base area = 36 in²

The area of the pyramid’s base is 36 in².

The pyramid has lateral faces that will be

Lateral face = 0.5 × 6 × 9

Lateral face = 27 in²

Then the surface area of each lateral face will be

Surface area = 4 × 27

Surface area = 108 in²

The surface area of each lateral face is 108 in²

Then the total surface area is 144 in².

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Which order pair is a solution of this equation. 5x+y=-25

Answers

Answer:

(-5,0) or (0,-25) is another solution

Step-by-step explanation:

Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation. 

Answer:

(-5,0)

Step-by-step explanation:

what is a/8 - 7(3) = 4a - 78(b)

solve for b pls

Answers

Answer:

31a/624 +7/26 = b

Step-by-step explanation:

a/8 - 7(3) = 4a - 78(b)

Multiply

a/8 - 21 =4a -78b

Multiply each side by 8 to get rid of the fractions

8(a/8 - 21) =8(4a -78b)

a - 168 = 32a -624b

Subtract 32a from each side

a -32a -168 = 32a -32a -624b

-31a -168 = -624b

Divide each side by -624

(-31a -168)/-624 = -624b/-624

(31a+168)/624 = b

31a/624 +7/26 = b

Answer:

b = (31a + 168)/624

Step-by-step explanation:

a/8 - 7(3) = 4a - 78(b)

78b = 4a - a/8 + 21

78b = (32-1)a/8 + 21

78b = (31a + 21(8))/8

78b = (31a + 168)/8

b = (31a + 168)/8 × 1/78

b = (31a + 168)/624

this is the question i dont rlly get

Answers

Answer:

The answer is C.

Step-by-step explanation:

Erik buys 2.5 pounds of cashews.If each pound of cashews cost $7.50, how much will he pay for the cashews

Answers

Erik will pay $18.75 for the cashews.

Erik will pay $18.75 for 2.5 pounds of cashews because the price is $7.50 per pound, and the cost is calculated by multiplying the price per pound by the number of pounds.

To calculate how much Erik will pay for 2.5 pounds of cashews at a rate of $7.50 per pound, you simply multiply the number of pounds of cashews by the price per pound.

The formula to determine the cost is: Total Cost = Price per Unit x Quantity.For Erik's purchase, this would be: Total Cost = $7.50 x 2.5.

Let's do the calculation:

First, multiply 7.50 by 2.5, which equals 18.75.This means Erik will pay $18.75 for the cashews.

There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receives 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?

Answers

Answer:

8 points

Step-by-step explanation:

Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:

0: 3 lost

1: 2 lost, 1 tied

2: 2 tied, 1 lost

3: 3 tied

4: 1 won, 1 lost, 1 tied

5: 1 won, 2 tied

6: 2 won, 1 lost

7: 2 won, 1 tied

9: 3 won

The answer is 8 points.

Since there are 4 teams in a soccer tournament, and each team plays each of the other teams exactly once, and in each match, the winner receives 3 points and the loser receives 0 points, while in the case of a tie, both teams receive 1 point, to determine, after all the matches have been played, which total number of points is it impossible for any team to have received, the following mathematical logical reasoning must be performed:

0 points = 3 losses = possible 1 point = 1 draw, 2 losses = possible 2 points = 2 draws, 1 loss = possible 3 points = 1 win, 2 losses or 3 draws = possible 4 points = 1 win, 1 draw, 1 loss = possible 5 points = 1 win, 2 draws = possible 6 points = 2 wins, 1 loss = possible 7 points = 2 wins, 1 draw = possible 8 points = impossible, it takes at least 4 matches to achieve that combination 9 points = 3 wins = possible

Learn more in https://brainly.com/question/17236174

Harper knows he is 50 yards from his school. The map on his phone shows that the school is 3/4 inch from his current location. How far is Harper from home, if the map shows the distance as 3 inches?

Answers

Answer:200

Step-by-step explanation:

3÷3/4=4

4x50=200

34 inches represents 50 yards.

So, 1 inches could be represented by 50/34 = 25/17 yards.

Multiply 1 inches value of yards by 3 to find the length of 3 inches in yards.

25/17 = 75/17 = 4 7/17 yards.

Answer: 4.412


1)
Erica brought 56 bottles of water to basketball practice. She gave an equal number of bottles to each of her 8 teammates,
How many bottles of water did each teammate receive?

A)6
B)7
C)8
D)9

Answers

Answer:

b) 7

please mark as brainliest :)

Step-by-step explanation:

Answer:

B)7

Step-by-step explanation:

When she has 56 bottles we divide that by how many teammates, so 56/8 and that gives us our answer, 7

How many 3 number combinations are possible if you can't repeat the numbers? The numbers range from 0-39

Answers

Answer: 49600

Step-by-step explanation: There are 40 ways to choose the first number

and there are 40 ways to choose the second number.

Now we take some examples to determine how many choices there are for

the third number

If the second number is 23, then the 3rd number cannot be any of these

9 numbers 19,20,21,22,23,24,25,26,or 27, since they are not at least 5

numbers away from 23.  Same for all other 40 second numbers.

Let's look at a second example which includes some on both sides of 0.

If second number is 2, we couldn't choose any of the 9 numbers 38,39,0,1,2,3,4,5,6.

So thats 40-9 or 31 choices for the 3rd number.

Answer 40*40*31 = 49600 ways.

really need help. thanks in advance
collect all like terms
5a-2a^2-a+3ab+6a^2

Answers

Answer:

4a^2+4a+3ab

-4+-√16-48b/8

and then continue like this

the solution should be like a1=...b/a2=...b

zack is standing at the top of a lookout tower and spotsa a water fountain below. if the lookout tower is 75 feet tall and the angle of depression is 28 what is the horizontal distance between zack and the water fountain

Answers

The horizontal distance between Zack and the water fountain is approximately 141.1 feet.

To find the horizontal distance between Zack and the water fountain, we can use trigonometry.

The tangent function relates the angle of depression (\(\theta\)) to the opposite side (height of the tower, \(h\)), and the adjacent side (horizontal distance, \(d\)):

[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]

Given:

Height of the tower = 75 feet

Angle of depression  = 28°

We rearrange the formula to solve for \(d\):

[tex]\[ d = \frac{h}{\tan(\theta)} \]\[ d = \frac{75}{\tan(28°)} \]Calculating \(\tan(28°)\), and then the distance \(d\):\[ \tan(28°) = 0.531 \]\[ d = \frac{75}{0.531} \]\[ d = 141.1 \][/tex]

So, the horizontal distance between Zack and the water fountain is approximately 141.1 feet.

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