The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. x=-4,y=6

Answer:

$9627.46

Step-by-step explanation:

-The amount after 19 years for a 6.5% compounded continuously is given by the formula:

[tex]A=Pe^{rt}[/tex]

Where:

A is the final amount after investment

P is the initial amount invested

r is the stated annual interest rate.

t is period of investment

#We then substitute our values in the equation to solve for A:

[tex]A=Pe^{rt}\\\\=2800e^{19\times 0.065}\\\\=9627.46[/tex]

Hence, the amount after 19 years is $9,627.46

Answer:

D.

Step-by-step explanation:

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

Final answer:

The value of the expression 4x² - 2y when x = 3 and y = 2 is 32, found by substituting the values of x and y into the expression and simplifying.

Explanation:

To find the value of 4x² - 2y when x = 3 and y = 2, we need to substitute these values into the expression.

So, the value of the expression 4x² - 2y when x = 3 and y = 2 is 32.

Final answer:

(Option D)Mitchell's stipend was  $506.02.

Explanation:

To find out how much Mitchell's stipend was, we can subtract the amount he spent on textbooks from the amount he had left at the end of the semester.

Let's assume Mitchell's stipend was X dollars.

He spent $429.17 on textbooks, so the remaining amount would be X - $429.17.

We know that he had $77.85 left, so we can set up the equation:

X - $429.17 = $77.85

Now, we can solve for X:

X = $77.85 + $429.17 = $506.02

So, Mitchell's stipend was $506.02. This corresponds to answer (Option D).

Answer:

95 and 136 respectively

Step-by-step explanation:

4775/50=95R25

4775/35=136R15

Answer:

The answer is C(n,r) = n!/[(n-r)!r!]

The formula for the following conditions is  [tex]C(n,r) = \dfrac{n!}{[(n-r)!r!]}[/tex]

We can use combinations for this case,

A total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in a total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, a total number of choices, in that case, would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called the permutation of k items chosen out of m items (all distinct).

The formula for the following conditions is  [tex]C(n,r) = \dfrac{n!}{[(n-r)!r!]}[/tex]

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Answer:

She can paint 6 rooms.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  [tex]\frac{3}{2}[/tex] cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = [tex]\frac{1}{\frac{3}{2}} =\frac{2}{3}[/tex] room.

Thus, 9 cans of paint is needed to paint = [tex]\frac{2}{3} \times 9[/tex]

[tex]=\frac{18}{3} \\\\=6\ rooms.[/tex]

Therefore, she can paint 6 rooms.

Answer:

168 baskets

Step-by-step explanation:

i did it the dumb way and just did 3+5+7+9+11+13+15+17+19+21+23+25 = 168

Answer:

$364.8

Step-by-step explanation:

To find the net income, we subtract deductions from the gross income. Deductions mainly include federal taxes/PAYE, NHIF, NSSF, Morgage loans. Therefore expressed as

Net income= Gross income- Deductions

Given information

Gross income=$450

Deductions

$58.5+$26.7=$85.2

Net salary will be $450-$85.2=$364.8

Therefore, rhe net salary will be equivalent to $364.8

Answer:

Step-by-step explanation:

Substitute the numbers in for y and z.

3/2(6)+5/3(3)-3

9+5-3

14-3=11

answer: 11

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

Answer:

The average weight of okapi  is 290 kg

The average weight of llama is 160 kg

Step-by-step explanation:

To solve the question, we are to resolve the word problem as follows;

Let the average weight of Okapi be X

The average weight of llamas be Y

X + Y = 450 and

3 Y = X + 190

Solving the above simultaneous equation, we have

X = 450 - Y

∴ 3·Y = 450-Y+190

4·Y =640

Y = 160 and X = 450 - 160 = 290

Therefore, the average weight of okapi  = 290 kg while the average weight of llama = 160 kg.

Answer:

3375

Step-by-step explanation:

Because you need to do length x width x height

Answer: the initial amount is $941.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

A = $1000

r = 1% = 1/100 = 0.01

n = 12 because it was compounded 12 times in a year.

t = 6 years

Therefore,.

1000 = P(1 + 0.01/12)^12 × 6

1000 = P(1 + 0.00083)^72

1000 = P(1.00083)^72

1000 = 1.062P

P = 1000/1.062

P = $941.6

Answer:

The person is 14 years old

Step-by-step explanation:

1. Multiply 6 times 18 which is 108

2. Add all numbers together in list which is 94

3. Subtract 94 from 108 which is 14

4. To check answer add 94 plus 14 and divide by 6 and you will get the median which is 18, now you know this answer is correct.

Answer: 3

Step-by-step explanation:

Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.

Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:

Ratio of chile peepers to tomato= 1;3

Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.

For 1 chile peeper, there'll be 3 tomatoes.

For 3 chile pepper, thee will be 9 tomatoes.

Answer: She needs to add 3 chile peppers.

Step-by-step explanation:

The ratio of chile peppers to tomatoes is 1:3

this means that for each 3 tomatoes, she puts one chile pepper.

Then if she puts 9 tomatoes, this means that she puts 3 tomatoes 3 times.

And we know that for each 3 tomatoes she needs to add 1 chile pepper, then she needs to add 1 chile pepper 3 times:

3*1 = 3 chile peppers.

She needs to add 3 chile peppers.

Answer:

The Correct choice is: p(-0.5≤z≤0.5) .

Answer:

It's B on Edg

Step-by-step explanation:

I just took the test

Answer:

[tex]A = 159.31\,ft^{2}[/tex]

Step-by-step explanation:

Let consider that both pyramid are simmilar. The surface area of the pyramid is directly proportional to the square of the height is:

[tex]A = (25.49\,ft^{2})\cdot \left(\frac{15\,ft}{6\,ft} \right)^{2}[/tex]

[tex]A = 159.31\,ft^{2}[/tex]

Answer:

< lesser to

>greater to

Answer: < less than

> greater than

Step-by-step explanation: hope this helps!!!

Answer: i believe it's v=whl... is this correct?

Step-by-step explanation:

Answer:

9/20

(9 over 20)

Step-by-step explanation:

Answer:

9/20 or 0.45

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 4/9: 9/4

Now, multiply it with the dividend

So, 3/15 ÷ 4/9 = 3/15 × 4/9= 3 × 9/15 × 4

3 × 9

15 × 4

=  

27 /60

After reducing the fraction, the answer is  

9 /20 or 0.45

Answer:

282°

Step-by-step explanation:

To find the length of VYX, use the Pythagorean theorem and set up an equation to solve for the length by squaring the lengths of the other sides and adding them together. Then, take the square root of the sum to find the length of VYX.

To find the length of VYX, we can use the Pythagorean theorem. In a right triangle, the square of the hypotenuse (VYX) is equal to the sum of the squares of the other two sides (VY and YX). Since we know VY (28 inches), we can solve for the length of VYX

Using the Pythagorean theorem: (VYX)2 = (VY)2 + (YX)2

Plugging in the values: (VYX)2 = (28)2 + (YX)2

Since the question asks for the length of VYX, we can take the square root of both sides to find the length of VYX: VYX = √[(28)2 + (YX)2]

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Answer:

10 cm.

Step-by-step explanation:

In order to better understand this question, I will attach an allusive image to the question.

Keep in mind that in this case the base of the triangle is equal to the radius of the base of the cone since the triangle rotates on its own axis, therefore the measurement of the base corresponds to 10 cm, therefore the radius measures 10 cm.

Answer:

Hence the probability that are already owned are 0.943620

Step-by-step explanation:

Given:

No fo character sequences using either letter or digits had not been claimed=94696

To find :

What is probability that letter are already claimed ?

Solution:

We know that there are 26 alphabets  and digits are 0,1,2.. 9

Hence total will be of 36.

Now we are going to Arrange the sequence for all possible values

as there 4 characters we get ,each of them with 36 possible values

=36*36*36*36

=36^4

=1679616.

Now we have a sequence with 94696 character and digits are not claimed .

Its probability

=94696/1679616

=0.05637.

So the required probability will be ,

P(claimed)=1- P(Not claimed)

= 1-0.056379

=0.943620

Hence the probability that are already owned are 0.943620

Answer:

64

Step-by-step explanation:

Callie is incorrect because of the way she distributes the exponent inside the brackets. This is what she did:

[tex](8 - 2*2)^3 = 8^3 - (2*2)^3 = 512 - 4^3 = 512 - 64 = 448[/tex]

The correct calculation should be done inside the bracket first, then the exponent outside

[tex](8 - 2*2)^3 = (8 - 4)^3 = 4^3 = 64[/tex]

Answer:

In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.

Step-by-step explanation:

allie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can you find her mistake?

1

2

(4k + 8) = 10

1. 2k + 16 = 10

2. 2k = −6

3. k = −3

What was Callie’s mistake?

Callie should have added 10 to both sides in step 2.

In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.

Callie divided by 2 instead of multiplying by 2 in step 3.

Callie should have added 16 to both sides in step 2.

Answer:5

Step-by-step explanation:PLS GIVE ME BRAINLIEST

Value of h is 5 for 3h=15.

An equation is a mathematical statement that shows that two mathematical expressions are equal. It is used to calculte the values of the variable such they satisfy the expression on both the side of the equal symbol. The equation may  involve one variable, two variables, three variable,s and so on.

Given equation:

3h=15

This is an equation in one variable, which can be solved by transposition.

To calculate the value of h

On dividing 3 both sides,

3h/3=15/3

h=5

Thus , for equation 3h=15, value of h is 5

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Answer:

42

Step-by-step explanation:

343-7 equals to 336

divide it by 8, for 8 buses, there would be 42 in each bus

Answer:

$93.38

Step-by-step explanation:

To solve this, we simply multiple $373.50 by 25% to figure out how much Mr.Hall pays for health insurance each month. Don't forget that we need to change 25% to its decimal form (25% -> 0.25).

$373.50 x 0.25 = $93.38

Mr.Hall must pay $93.38 dollars a month for his health insurance.

Answer:

1 year:

The amount is $6695 and the interest is $195

2 years:

The amount is $6895.85 and the interest is $395.85.

The balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85 with an initial investment of $6500 with a 3% interest rate compounded annually.

The subject of this question is compound interest. When an amount of money is placed in an account with a certain interest rate, the amount grows over time. In this case, the initial investment is $6500 and the interest is compounded annually at a rate of 3%.

To calculate the total amount in the account after a certain period, you can use the following formula:

A = P(1 + r/n)^(nt)

A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time in years.

Applying this formula to the problem: for the end of first year, t=1, we will have:

A=6500(1 + 0.03/1)^(1*1) ≈ $6695

For the end of 2 years, t=2, we will get:

A=6500(1 + 0.03/1)^(1*2) ≈ $6899.85

Therefore, the balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85. Assume there are no withdrawals from the account during this period.

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