Hank started the month with $531.49 in his bank account. He deposited 2 paychecks during the month into his bank account. One for $240.42 and the other for $281.67. During the month he ended up spending $275.66 on food, $48.29 on gas, and $107.64 and on his phone. He then bought a new iPad which cost him $429.81. How much money was in Hank's account at the end of the month?
Responses

Answer:

9.424

Step-by-step explanation:

y- Score before deduction

y-0.3=9.124

y=9.124+0.3

y=9.424

Answer:

No the relation is not a function

Step-by-step explanation:

A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.

If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs

This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.

Hope this helps :)

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

\(\\ \sf\longmapsto \dfrac{4}{5}-\dfrac{3}{10}\)

\(\\ \sf\longmapsto \dfrac{8-3}{10}\)

\(\\ \sf\longmapsto \dfrac{5}{10}\)

\(\\ \sf\longmapsto \dfrac{1}{2}\)

The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.

We start by stating the null and alternative hypotheses:

\($H_0$\): The mean miles/gallon for the vans is 53.8

\($H_A$\): The mean miles/gallon for the vans is not 53.8

We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:

\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)

With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

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Answer:

Step-by-step explanation:

C. lol

Answer:

66.) 1.) M=-9/7

2.) Y-INTERCEPT (9)

3.) X-INTERCEPT (7).

Answer:

Step-by-step explanation:

I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz

Answer:

Step-by-step explanation:

incomplete question

Answer: 35+H

Step-by-step explanation:

Answer:

35 + H

Step-by-step explanation:

Jane has 35 hair bows.

Her sister has H more hair bows than Jane.

35 + H = The amount of hair bows Jane's Sister has.

Answer:

\(\sqrt{81}\) = 9 :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2.

In this case, a = 12, c = 15, and we do not know the value of "b."

Let's solve by plugging the values in!

12^2 + b^2 = 15^2

144 + b^2 = 225

Subtract 144 on both sides:

b^2 = 81

b = sqrt 81

b = 9

Helen deposited $1100 in a savings account with a 4.5% annual interest rate. After 7 years, if the account is compounded quarterly, weekly, or semi-annually, she would have $1614.53, $1617.92, or $1606.24, respectively.

a. To model the amount of money in Helen's savings account at the end of t years, compounded k times during the year, we can use the following formula:

A = P(1 + r/k)^(kt)

So the function to model the amount of money in Helen's savings account at the end of t years, compounded k times during the year is:

A = 1100(1 + 0.045/k)^(kt)

b. To determine the amount of money in Helen's account at the end of 7 years if it is compounded quarterly, weekly, and semi-annually, we can substitute the given values of k and t into the formula and simplify:

Compounded quarterly:

A = 1100(1 + 0.045/4)^(4*7)

A = 1100(1.01125)^28

A = 1614.53 (rounded to the nearest cent)

Compounded weekly:

A = 1100(1 + 0.045/52)^(52*7)

A = 1100(1.00086538)^364

A = 1617.92 (rounded to the nearest cent)

Compounded semi-annually:

A = 1100(1 + 0.045/2)^(2*7)

A = 1100(1.0225)^14

A = 1606.24 (rounded to the nearest cent)

Therefore, after 7 years, if Helen's account is compounded quarterly, she would have $1614.53; if it is compounded weekly, she would have $1617.92, and if it is compounded semi-annually, she would have $1606.24.

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Answer:

C.

Step-by-step explanation:

The exponential function that shows the coin value in dollars after x decades is given as y = 500(1.2)ˣ

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the coin value in dollars after x decades

Fidel has a rare coin worth $500. Each decade, the coin's value increases by 20, percent. hence:

y = 500(1.2)ˣ

The exponential function that shows the coin value in dollars after x decades is given as y = 500(1.2)ˣ

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Answer:

Step-by-step explanation:

The expression (6)(2)^(n-1) means to multiply 6 by 2 raised to the power of n-1. For example, when n = 3, we have:

(6)(2)^(n-1) = (6)(2)^(3-1)

= (6)(2)^2

= (6)(4)

= 24

On the other hand, the expression 12^(n-1) means to raise 12 to the power of n-1. For example, when n = 3, we have:

12^(n-1) = 12^(3-1)

= 12^2

= 144

Answer:

It should be 5/6

Step-by-step explanation:

:)rawr

Answer:

Here's the answer:

www.slader.com/discussion/question/mays-hair-was-8-inches-long-in-three-months-it-grew-another-inch-at-a-steady-rate-assume-that-her-ha/

Answer:

As u know sum of all angles in a triangle is 180°

so here the soln goes

23x-4+4x-1+9x-31=180°

36x-31=180°

x=216/36

x=6

hope it helped!

Answer:

h = 41.25 foot

Step-by-step explanation:

Given that,

Height of a street light = 7.5 feet

It casts a 3-foot-long shadow.

A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :

\(\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot\)

So, the height of the flag pole is equal to 41.25 foot.

The height of the flag pole is 41.25 feet tall.

Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.

From the parameters given:

Let the height of the flag pole be = x

∴

To determine the height of the flag pole, we have:

\(\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }\)

x = 41.25 feet tall

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Given: Length of house = 49 ft, Width of house = 42 ft, Height of house = 8 ftWe know that: Volume of the house = Length x Width x HeightFor conversion,

Volume of the house = Length x Width x Height= 49 ft x 42 ft x 8 ft= 16464 cubic feet= 16464 x 0.3048 x 0.3048 x 0.3048 cubic meters= 466.78 cubic metersTherefore, the volume of the interior of the house in cubic meters is 466.78 m³.To calculate the volume of the house in cubic centimeters,

we first convert the dimensions into centimeters:Length of house = 49 ft x 12 in/ft x 2.54 cm/in = 1493.52 cmWidth of house = 42 ft x 12 in/ft x 2.54 cm/in = 1280.16 cmHeight of house = 8 ft x 12 in/ft x 2.54 cm/in = 243.84 cmVolume of the house = Length x Width x Height= 1493.52 cm x 1280.16 cm x 243.84 cm= 466.78 x 10^9 cubic centimetersTherefore,

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Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = \(1/3(length * width * height)\)

And,

perimeter of a square = \(4 * length\)

6.9 = 4 x length

So,

length = 1.725

Now the volume is

\(= 1/3 * (1.725 * 1.725 * 2.8)\)

= 2.8

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The average velocity of the car for the given time interval is 1.975 m/s.

The equation for the distance x from a stop sign for an electric car in a straight line along a road as a function of time t is given by

x(t) = αt² - βt³

where α = 1.52 m/s² and β = 5.50 × 10⁻² m/s³.

We are required to find the average velocity of the car for the time interval

t = 0 to t² = 3.95 s.

In order to calculate the average velocity of the car for this time interval, we will first calculate the displacement of the car from t = 0 to t² = 3.95 s.

Displacement = Final position - Initial position

x(t = t²) - x(t = 0)

= αt⁴ - βt⁶ - α(0)² + β(0)³

= αt⁴ - βt⁶

The displacement is thus

αt⁴ - βt⁶ = 1.52 × (3.95)⁴ - 5.50 × 10⁻² × (3.95)⁶

= 7.797 m

We can now calculate the average velocity of the car for the given time interval.

Average velocity = Displacement ÷ Time taken

= 7.797 ÷ 3.95

= 1.975 m/s.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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In the given situation, the researcher should use the (C) independent sample t-test to determine whether there is a significant difference in mood scores for non-pet owners versus pet owners.

Therefore, in the given situation, the researcher should use the (C) independent sample t-test to determine whether there is a significant difference in mood scores for non-pet owners versus pet owners.

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Correct question:
A researcher used a matched-subjects design to investigate whether single people with pets are happier than singles without pets. a mood inventory survey was given to a group of 20- to 29-year-old non-pet owners and a similar age group of pet owners. the pet owners were matched one-to-one with the non-pet owners for income, number of close friendships, and general health. what test should you use to determine whether there is a significant difference in the mood scores for non-pet owners versus pet owners? group of answer choices

a. related samples t-test

b. one-sample t-test

c. independent samples t-test

Answer:

The rectangular prism building.

Step-by-step explanation:

The rectangular prism building will require more gallons of paint to completely cover because, compared to the rectangular pyramid, the rectangular prism has a larger surface area, thus it would need more paint to completely cover it.

Answer:

The image isn't quite clear

When dealing with land, it is often necessary to convert measurements from square feet to acres. One acre is equal to 43,560 square feet, so to convert square feet to acres, we need to divide the number of square feet by 43,560.

To convert a certain amount of square feet to acres, you would use the following formula: Square Feet / 43,560 = Acres. For example, let's say you want to convert 100,000 square feet to acres. You would divide 100,000 by 43,560 to get 2.26 acres.

Alternatively, you can also use a calculator to make this conversion. It is important to note that an acre is a unit of measurement that is mostly used to measure land area, particularly in agriculture and real estate. When you are converting square feet to acres, you are expressing the land area in a different unit. It is also important to note that the conversion factor 43,560 square feet is exactly 1 acre, so when you divide the number of square feet by 43,560, you are effectively measuring the land area in acres.

In summary, to convert square feet to acres for land, you can use the formula Square Feet / 43,560 = Acres. This is a simple and effective way to convert land area measurements from square feet to acres.

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