A woman earns $3000 per month and budgets $540 per month for food. What percent of her monthly income is spent on food?
.
% of her monthly income is spent on food.

Answer quickly

The query which is likely to be asked by a life insurance company to determine the price of a policy is, Do you have a history of illness or other health conditions?

The life insurance is the type of insurance in which the insurance company pay the total amount of loan (face value) to the beneficiary in case of death of the policyholder during policy period.

The questions which can be asked by a life insurance company to determine the price of a policy are:

The query which is likely to be asked by a life insurance company to determine the price of a policy is, Do you have a history of illness or other health conditions?

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

2y³+9y²-3y-16 is the simplified expression of  (9y²-4y-4)-(-2y³-y+12) by subtraction and 14x³-23x²+19x-24 we get by multiplication of (2x-3)(7x²-x+8)

An expression is combination of variables, numbers and operators.

The given expression is (9y²-4y-4)-(-2y³-y+12)

Now we have to subtract these two terms

9y²-4y-4+2y³+y-12

Add the like terms

2y³+9y²-3y-16

Now, (2x-3)(7x²-x+8)

We need to multiply these two expressions

2x(7x²-x+8)-3(7x²-x+8)

Apply distributive property

14x³-2x²+16x-21x²+3x-24

Add the like terms

14x³-23x²+19x-24

Hence, 2y³+9y²-3y-16 is the simplified expression of  (9y²-4y-4)-(-2y³-y+12) by subtraction and 14x³-23x²+19x-24 we get by multiplication of (2x-3)(7x²-x+8)

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The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

From the question, we have the following parameters that can be used in our computation:

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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Answer:

1the answer for this is easy it is 4.4

If a balloon was originally filled to a volume of 4,400 cubic centimeters. The inequality expression of the volume of the balloon is: V < 4400.

Volume = 4,400 cubic centimeters

Since the air inside the balloon leaks out over time which implies that the air inside the balloon will reduce.

So the expression is:

V < 4400

Where:

V = Volume

< = less than

Therefore the  inequality expression is V < 4400.

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The complete question is:

A balloon was originally filled to a volume of 4,400 cubic centimeters. Air inside the balloon leaks out over time.

Write an inequality that describes V, the volume of the balloon in cubic centimeters as air leaks out.

Enter your inequality without a thousands separator.

answer :

120 + 6 = 126

explanation:

sa calculator lang yan haha jk

pero yan talaga ang sagot promise hindi ako ng bo-bola haha stay safe and stay positive na lang huwag lang sa c o vi d

Answer:

5

Step-by-step explanation:

(-11)-(-11) would cancel out, so that leaves 5 as the answer :)

Answer: 126 i think cause 5+ (-11) – (-11) = 126 hope this helped have a nice day :)

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.  

  42 feet 0 inches  =     41 feet 12 inches

 - 39 feet 5 inches  =  - 39 feet 5 inches

                                       2 feet  7 inches

Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

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For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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Using a graphing calculator to sketch the graph of the quadratic equation, -x² - 15x - 56, the x-intercepts are

d. ( 7, 0); ( 8, 0)

Quadratic equations are algebraic equations of the second degree, which means they involve variables raised to the power of two (squared terms).

A general quadratic equation can be written in the form:

ax² + bx + c = 0

The graph of quadratic equation traces same path as a parabola, the given equation -x² - 15x - 56 when graphed has x intercepts at ( 7, 0); ( 8, 0).

The graph is attached

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Answer:

y=0

Step-by-step explanation:

so it has a steady slope

Answer:

Sketch the graph of y=7x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y=3x7^-x

Shift the graph up 2 units to show the function y=3x7^-x +2                        

Step-by-step explanation:

Answer:

zy^5

Step-by-step explanation:

Answer:

$2448 in a year

Step-by-step explanation:

$63,648 ÷ 52 = $1224 a week (this would be how much he earns per week)

Since he is not getting paid for two week we do 52 - 2 = 50 week of work.

Since per week salary is $1224 we multiply by 2 for two weeks = $2448

Before $63,648 - $2448 = $61200 per year (Now he's making $61200/year)

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Thanks!

Diameter of the ball=0.499m

What is Diameter?

A line that is straight and cuts through the middle of a body or figure. Particularly: the length of a diameter; a line segment passing through the center of a circle with its ends on the circumference.

Given,

F=581n

Density of water pw= 1.0 x 10³ kg/m³

Density of styrofoam pfoam=95.0 kg/m³

Fb=Buoyancy force

W= Weight of ball

from the Figure (seen the attachment)

f+w=Fb

Fb-W=f

4/3πR³pwg-4/3πRpfoamg=f

4/3πR³(1000-95) x 9.81=581

R=0.2499m

then diameter of the ball

d=2R

d=2 x 0.2499

d=0.4998m

the diameter d of the ball = 0.4998m

option answer is none of the the above

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Answer:5

Step-by-step explanation:

5098

Answer:

Step-by-step explanation:

Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.

mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10

mean = 97/10

mean = 9.7

Standard deviation for ungrouped data is expressed using the formula;

\(S = \sqrt{ \dfrac{\sum(x-\overline x)^2}{n-1} }\)

\(\overline x \ is\ the \ mean\\n \ is \ sample \ size\)

\(S = \sqrt{\frac{(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2}{10-1} }\\ S = \sqrt{\frac{(-7.7)^2+(-3.7)^2+(5.3)^2+(-0.7)^2+(1.3)^2+(12.3)^2+(-8.7)^2+(-5.7)^2+(-1.7)^2+(9.3)^2}{10-1} }\\\\S = \sqrt{\dfrac{59.29+13.69+28.09+0.49+1.69+151.29+75.69+32.49+2.89+86.49}{10-1} }\\\\\\S = \sqrt{\dfrac{452.1}{9} }\\\\S = \sqrt{50.23}\\ \\S = 7.08\\\\S \approx 7.1\)

Hence the standard deviation of the sample data is 7.1

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

(0, 1) (1/2, 0)

Step-by-step explanation:

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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9514 1404 393

Answer:

Step-by-step explanation:

It is convenient to use a variable for the amount invested at the higher rate. If that variable is x, then the amount invested at the lower rate is (15000-x) and Anna's total annual interest is ...

  0.054(15000 -x) + 0.08x = 940

  0.026x +810 = 940

  0.026x = 130

  x = 130/0.026 = 5000

Anna invests $5,000 at 8% and $10,000 at 5.4%.

Answer:

C. \( 9\pi \)

Step-by-step explanation:

VU is tangent \( \odot W\) at point U and WU is radius.

\( \therefore WU \perp VU\)

\( \implies m\angle VUW=90\degree\)

\( \therefore \triangle VUW\) is right angle triangle.

WZ = WU = x - 1 (Radii of same circle)

WV = x - 1 + 2 = x + 1

By Pythagoras Theorem:

\( WU^2 + VU^2 = WV^2 \)

\( (x-1)^2 +(2x-4) ^2 = (x+1)^2 \)

\(x^2 -2x +1+ 4x^2 -16x + 16=x^2 +2x +1\)

\(4x^2 -20x + 16=0\)

\(x^2 -5x + 4=0\)

\(x^2 -5x + 4=0\)

Equating it with

\(ax^2 +bx +c=0\)

We find:

a = 1, b = - 5, c = 4

\( b^2 - 4ac =(-5)^2 - 4(1)(4)= 25-16 =9\)

\( x=\frac{-b\pm \sqrt{b^2 - 4ac}}{2a} \)

\( x=\frac{-(-5)\pm \sqrt{9}}{2\times 1} \)

\( x=\frac{5\pm 3}{2} \)

\( x=\frac{5+3}{2}, \: x =\frac{5-3}{2} \)

\( x=\frac{8}{2}, \: x =\frac{2}{2} \)

\( x=4, \: x =1 \)

When x = 4, radius (r) = 4 - 1 = 3

When x = 1, radius (r) = 1 - 1 = 0, which is not possible.

Area of \( \odot W \)

\( =\pi r^2 \)

\( =\pi (3)^2 \)

\( =9\pi \)

Answer:

22,873.35

Step-by-step explanation:

A=p+I where P(principal) = 18,000

I(interest) = 4,873.35

Answer:

A = 22,775

Step-by-step explanation:

A = amount after 6 years

P = 18,000

r = 4%  (in decimal = 0.04)

t = 6 years

A = 18,000 ( 1 + 0.04)^6

A = 22,775

Answer:

60 years

Step-by-step explanation:

Eventually, the multiples of each number will reach 60.

We are given the following expression:

To simplify we will use the following property of exponent:

Applying the property we get:

on the right side of the expression we will use the following property of exponents:

Applying the property we get:

Now, we solve the left side of the resulting expression:

And since we can't simplify any further this is the result.

Answer: Total visitors =1500

Step-by-step explanation:

By rounding off each no. nearest to 100 is :

185=200, 349=300, 107=100, 355= 400. 451= 500

By adding round off  no. i.e.200+300+100+400+500= 1500

So total no. of visitors were 1500