Josie and Allanah are each saving money. Josie starts with 100$ per week in her savings account and adds 5$ per week. Allanah starts with 10$ in her savings account and adds 20$ each week. 1) Write equations to represent josie's savings and alana's saving.(you should have 2 different equations) After 4 weeks who has more money in their savings account? And after how many weeks will Josie and Allanah have the same amount of money in their savings account?

8

Answer:

2 * Length + 2 * width = 318

2 L = 318 - 2 * 62

2 L = 194

Length = 97 Yards

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because every 3 bats he hit 1

Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.

Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.

Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.

∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.

The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.

Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.

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-6.48 > -6.5

5.983 < 5.99

3.09 > 3.01

Hope it helps

There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

Answer:

√7 units, √98 units

Step-by-step explanation:

Answer: LA Galaxy has won 24 of their soccer matches.

Step-by-step explanation:

To find 60% of 40, you can multiply 60/100 by 40.

60/100 x 40 = 24.

In conclusion, LA Galaxy has won 24 of their soccer matches.

Answer:

The answer is 48

Step-by-step explanation:

180 degrees in a triangle the bottom two sides are equal and so divide the remaining 96 degrees by 2

The value of g(2) is -1/4, g(0) is undefined, g(1.2) is approximately 1.0833, g(-2) is -1/4, and g(6) is -2/3, where g(x) = 3/x² - 1.

We can evaluate g(x) by substituting the value of x in the expression:

g(x) = 3/x² - 1

a) To evaluate g(2), we substitute 2 for x in the expression:

g(2) = 3/2² - 1

g(2) = 3/4 - 1

g(2) = -1/4

Therefore, the answer is (a) -1/4.

b) To evaluate g(0), we substitute 0 for x in the expression:

g(0) = 3/0² - 1

However, division by zero is undefined, and so g(0) is undefined.

c) To evaluate g(1.2), we substitute 1.2 for x in the expression:

g(1.2) = 3/1.2² - 1

g(1.2) = 3/1.44 - 1

g(1.2) = 1.0833...

Therefore, the answer is (c) approximately 1.0833.

d) To evaluate g(-2), we substitute -2 for x in the expression:

g(-2) = 3/(-2)² - 1

g(-2) = 3/4 - 1

g(-2) = -1/4

Therefore, the answer is (d) -1/4.

e) To evaluate g(6), we substitute 6 for x in the expression:

g(6) = 3/6² - 1

g(6) = 3/36 - 1

g(6) = -8/12

g(6) = -2/3

Therefore, the answer is (e) -2/3.

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Answer:

1/4xy(x^2+3y)

Step-by-step explanation:

oh ok last one was missing that y thx for reposting

Answer:B

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

If the numbers have more zeroes, they are farther from being whole numbers and whole numbers and bigger than decimals. I kind of suck at explaining but that's kind of it

Check the picture below.

The rearranged formula for volume in terms of radius,r is  \(\sqrt[3]{\frac{V}{\pi } }\).

What is volume?

Volume, V = \(\pi r^3\)

Rearranging,

r =\(\sqrt[3]{\frac{V}{\pi } }\)

The rearranged formula for volume in terms of radius,r is  \(\sqrt[3]{\frac{V}{\pi } }\).

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The person is willing to supply fewer hours of labor at wage rate w1 than at w2 and more hours of labor at wage rate w3 than at w2.

What is fewer hours (w1)?

"Fewer hours (w1)" refers to a condition where an individual is willing to offer a reduced amount or a lesser number of hours of labor in response to a specific wage rate denoted as w1. It implies a decrease in the quantity of labor supplied relative to other wage rates, such as w2 or w3.

Typically, the labor supply curve has an upward slope, indicating that as the wage rate increases, individuals are more willing to supply labor or work more hours. This is because higher wages incentivize individuals to allocate more of their time to work in order to earn more income.

Therefore, if we assume a conventional labor supply curve, we can infer that at a higher wage rate (w3) compared to a lower wage rate (w2), the individual would be willing to supply more hours of labor. Conversely, at a lower wage rate (w1) compared to w2, the individual would be willing to supply fewer hours of labor.

It is important to note that the actual relationship between wage rates and labor supply can be influenced by various factors such as individual preferences, market conditions, and other economic factors. Therefore, a specific labor supply curve graph or more information would be needed to provide a more accurate and specific explanation.

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Answer:

Step-by-step explanation:

Sorry cant help 18.85%

Answer:

3 1/5 inches

Step by Step Explanation:

4/5 * 4 = 16/5

16/5 as a mixed number is 3 1/5.

The answer is 3 1/5 inches hope this helps!!

Answer:

i would say 3  1/5

Step-by-step explanation

The percent increase of the puppy's weight is 25%

A puppy weighed 28 ounces on Monday

It gained 7 ounces in one week

Total weight is = 28 + 7

= 35

The percent increase can be calculated as follows

= 35/28

= 1.25

= 1.25-1

= 0.25 × 100

= 25%

Hence the percent increase of the puppy's weight is 25%

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For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

Matt probably would have got about a 5% return on a good stock.

The rate of return is just the total return divided by investment.

Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.

Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.

In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

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I think that's it, Hope this helps!!!!!!

Answer:

x = -2

Step-by-step explanation:

4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2

Answer:

x=2

Step-by-step explanation:

The average rate of change over the entire slide is 0.01 per unit.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.

m = Δy/Δx

where, m is the slope

Note that tan θ = Δy/Δx

We also refer this tan θ to be the slope of the line

Given,

the height of the slide = 2 feet

the value of x is 20 units

The average rate of change is the slope of the line

Therefore, the rate of change over the entire slide will be,

Rate of change = 2/20 = 0.1 feet per unit

Hence, the rate of change is 0.1 feet per unit.

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Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
\(V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h\)

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
\(C = 2 \pi r\)

We can get the radius from rearranging the equation.

\(r = \frac{C}{2 \pi}\)

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

The differential equation for the amount of salt a(t) in the tank at time t is da/dt = -100a/101.

The water input rate and solution output rate is 2 gal/ min. So the concentration of solution in tank is a/(200 + 2) at time t. So in next minute (t + 1), the amount of salt that leaves the tank is

(a/(200 + 2)) * 2 = a/101

So da/dt = a/ 101 - a = -100a/ 101

This equation models the rate of change of the amount of salt in the tank with respect to time, and it is a first-order linear ordinary differential equation because it is linear in the dependent variable a(t) and its derivative da/dt. The negative sign in front of the rate constant indicates that the amount of salt in the tank is decreasing over time due to the continuous outflow of the solution.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

Using the formula, we can find that the surface area is 208 in².

Step-by-step explanation:

To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.

Dimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.

Height: h = 6 in

Width: w = 8 in

Length: l = 4 in

We will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.

\(SA= 2(lw + lh + hw)\)

Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.

\(SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))\)

Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.

\(SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})\)       Add within the brackets.

\(SA= 2(104\ in^{2})\)                                 Multiply.

\(SA= 208\ in^{2}\)                                      Final answer

Tip: The final answer for area will always have squared units.

∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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The rate of interest specified in a bond contract as the interest rate to be paid by the company to investors in the bond is known as stated rate, therefore the given statement is false

The given statement is

The rate of interest specified in a bond contract as the interest rate to be paid by the company to investors in the bond is known as market rate

The market price is defined as the price for goods or services is the usual price charged for them in a free market. Therefore the given statement is false and the correct answer is stated price

Hence, The given statement is false because the rate of interest specified in a bond contract as the interest rate to be paid by the company to investors in the bond is known as stated rate

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