A) write a system of equations that will help Juan find the amount that should be invested in each account Total amount invested ?total interest earned ?B) How much does Juan need to invest in each account to earn 8100 per year Juan needs to invest ____ on the account paying 3% and ____ in the account paying 4% interest

Answer:

B

Step-by-step explanation:

x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.

so, A and C are automatically out.

D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.

so, only B includes the "and" condition.

it means 1 has to be less than x AND x has to be less than 7.

and that is correct.

Answer:

b

Step-by-step explanation:

Answer: I have no idea, I didn't learn that yet but good luck.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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1) Gathering the data

Claire

Li

Red Fabric: 7 yd $6.5 (x)

Blue : 3 yd 8.0 (y)

x+y =10 y= 10- x

6.5x +8y=

8y=

9514 1404 393

Answer:

Step-by-step explanation:

There are two requirements:

Each of these gives rise to an inequality.

The variables in the problem are the numbers of hours spent at each activity. If we let m represent hours mowing, and b represent hours babysitting, then we have ...

  m + b ≤ 15 . . . . . . . . total hours can be no more than 15

The amount of money earned mowing is 3m. The amount of money earned babysitting is 5b. We want the total earned to be at least $60, so the other constraint can be expressed as ...

  3m +5b ≥ 60 . . . . . . earnings must be at least $60

__

Then the system of inequalities is ...

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

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

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

\(\displaystyle \frac{10}{17}\)

Step-by-step explanation:

Fraction Simplifying

We are given the ratio 2 Km:3400 m. This can be written in fraction form as:

\(\displaystyle \frac{2\ km}{3400\ m}\)

Since 2 Km = 2000 m:

\(\displaystyle \frac{2\ km}{3400\ m}=\frac{2000\ \not{m}}{3400\ \not{m}}\)

We need to simplify the fraction:

\(\displaystyle \frac{2000}{3400}\)

We cancel out two zeroes, which is like dividing both numbers by 100:

\(\displaystyle \frac{20\not{0}\not{0}}{34\not{0}\not{0}}\)

The remaining fraction is:

\(\displaystyle \frac{20}{34}\)

Dividing both by 2:

\(\displaystyle \frac{10}{17}\)

Since the denominator is a prime number, no more simplifying is possible, thus the given ratio is equivalent to:

\(\boxed{\displaystyle \frac{10}{17}}\)

Answer:

0.625%

Step-by-step explanation:

I took the numbers and round them up to make the exact answer.

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

The probability of winning a prize remains the same for,

e. n = 10 or n=20 or n = 100; the probabilities are the same.

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

From the information we get,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

∴ \(P(x = 3) = ^{10}C_3p^7q^3\).

\(P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3\).

P(x = 3) = 120×0.0078×0.125.

P(x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.

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Question: -4 + 5x -7 = 10 + 3x -2x

⇒ 5x -11 = 10 + x

⇒ 5x - x = 10+11

⇒ 4x = 21

⇒ x = 21/4

Answer is Option D

x = 21/4

Must click thanks and mark brainliest

Answer:

B

Step-by-step explanation:

Because every rose bush costs $65 and it's charged with a $15 delivery fee.

Answer:

8  5/648

Step-by-step explanation:

y = 5x ^ -3 + 4x^2

dy /dx = 5 * -3 x^ -4 + 4 * 2x ^ 1

           = -15 x ^ -4 + 8x

Now take the second derivative

dy^2/ dx^2 = -15  * -4 x^-5 +8

                   = 60 x^ -5 +8

                   = 60 /x^5   +8

Evaluate at x = 6

                   = 60 / 6^5  +8

                    60/7776 +8

                   5/648 + 8

                  8  5/648

Answer:

0.90

Step-by-step explanation:

Hope this Helps!!

Answer:

3

Step-by-step explanation:

first you add 10+2 then subtract 5 from the 12. then you multiply 6 and 2 that equals 12. now you minus 8 and 4 that equals 4. now you divide 12 and 4. that equals 3.  

Answer:

\(\frac{13}{145}\)

The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

The equation of the function is given as:

y = 5^x

And the x value is given as

x = 2

To determine the missing value, we start by substituting 2 for x in the function y = 5^x

So, we have:

y = 5^2

Evaluate the exponent

y = 25

So, the complete coordinate is (2, 25)

Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

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Answer:5.4

Step-by-step explanation:

Answer:

\(B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1\)

Step-by-step explanation:

\(sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4A \to \\ \\ sin( \frac{19π}{12})=− \frac{\sqrt{A}(\sqrt{B}+1)}{4A}

\\ \\ \sqrt{A}(\sqrt{B}+1) = 4A \times sin( \frac{19π}{12}) \\ \\ (\sqrt{B}+1) = \frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}} \\ \\ B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1\)

♨Rage♨

Answer:

To calculate the total cost of John and his family's meal (including tip and tax), we can follow these steps:

Calculate the tip amount by multiplying the bill amount by 20% (or 0.2): 65.00 x 0.2 = 13.00

Add the tip amount to the bill amount to get the subtotal: 65.00 + 13.00 = 78.00

Calculate the tax amount by multiplying the subtotal by 7% (or 0.07): 78.00 x 0.07 = 5.46

Add the tax amount to the subtotal to get the total cost: 78.00 + 5.46 = $83.46

Therefore, the total cost of John and his family's meal (including tip and tax) was $83.46.

To calculate the price of the suede jacket with a 20% discount and 8% tax, we can follow these steps:

Calculate the amount of the discount by multiplying the original price by 20% (or 0.2): 250 x 0.2 = 50

Subtract the discount amount from the original price to get the sale price: 250 - 50 = $200

Calculate the tax amount by multiplying the sale price by 8% (or 0.08): 200 x 0.08 = 16

Add the tax amount to the sale price to get the total price: 200 + 16 = $216

Therefore, the total price of the suede jacket with a 20% discount and 8% tax is $216.

To calculate the sale price of the bracelet with a 25% discount and 7% tax, we can follow these steps:

Calculate the amount of the discount by multiplying the regular price by 25% (or 0.25): 44 x 0.25 = 11

Subtract the discount amount from the regular price to get the sale price: 44 - 11 = $33

Calculate the tax amount by multiplying the sale price by 7% (or 0.07): 33 x 0.07 = 2.31

Add the tax amount to the sale price to get the total price: 33 + 2.31 = $35.31

Therefore, the sale price of the bracelet with a 25% discount and 7% tax is $35.31.

Answer:

just find the persentage on a tax, then minus the orignal price.

Step-by-step explanation:

Answer:

$26

Step-by-step explanation:

thats 20% of 130

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. they have 2 pairs of parallel sides.

Step-by-step explanation:

They have 4 equal sides. (square or rhombus)

They have 4 right angles (square or rectangle)

Answer:

$2.9

Step-by-step explanation:

You have to divide $23.20 by 8.