Mathematics College

The price of stamps just increased by $0.03. Beth wants to send out 30 party invitations. Write a formula that will help her determine how much it will cost. Let’s let p=old price per stamp
t=total cost for stamps

Answers

Answer 1
t = 30 ( 0.03 + p )
hope it helps
Answer 2
the answer would be t=30x0.03p im pretty sure

Related Questions

Find three positive numbers whose sum is 100 and whose product is a maximum. (enter your answers as a comma-separated list.)

Answers

Let's start by solving this problem when there are only two positive numbers involved, and then see whether we can apply the same technique when there are three positive integers.

Let the two positive integers be x and y.
Then x + y = 100, and xy = the product.

Let's eliminate x.  Solve x + y = 100 for x:  x = 100 - y.  Now subst. this last result into   P = xy:     P = product = (100 - y)(y) = 100y - y^2

Differentiating, dP/dy = 100 - 2y.  Set this = to 0 and solve for y:  -2y = -100, and y = 50.  Since x + y = 100, x is thus also = to 50.

Solution set:  (50,50).

Now suppose that three positive integers add up to 100, and that we want to maximize their product.

Then x + y + z = 100.  Let's maximize f(x,y,z) = xyz (the product of x, y and z).

Since x + y + z = 100, we can eliminate z by solving x + y + z = 100 for z and subst. the result back into f(x,y,z) = xyz:

We get f(x,y) =xy(100-x-y), a function of two variables instead of three.

I won't go through the entire procedure of maximizing a function in three variables, but will get you started:

Find the 'partial of f with respect to x' and then the 'partial of f with respect to y'.  Set each of these partial derivatives = to 0:

f    = 0 = (partial of xy(100-x-y) with respect to x
  x

      =  xy(partial of 100-x-y with respect to x) + (100-x-y)(partial of xy with                 respect to x)

       = xy(-1) + (100-x-y)(y)

 We must set this partial = to 0:  -xy+100y-xy-y^2 = 0

                                                     -2xy + 100y - y^2 = 0

                         or                          y(-2x + 100 - y) = 0

                  of which y=0 is one solution and in which -2x + 100 - y = 0

You must now go through the same procedure with respect to the partials with respect to y.

If you'd like to continue this discussion, please respond with questions and comments.

Find the distance the point p(0,0,−4)p(0,0,−4) is to the line through the two points q(−4,1,−2q(−4,1,−2 ), and r(−2,0,−5r(−2,0,−5 ).

Answers

r(2,0-5r) is the correct answer !!!!!

The formula for glue says to add 50ml of hardener to each container of resin. How much hardener should be added to 15 containers of resin?

Answers

If you need 50 mL per container, you can write this as an equation. Hardener = Resin Containers * 50.
If you have 15 containers of resin, Hardener = 15 * 50 = 750.
So you need 750 mL of hardener.

Answer:

0.75

Step-by-step explanation:

You are planning to buy one of two brands of sofas, which you hope to use over the next twenty years. Brand J costs $975 and lasts for about twenty years. Brand K costs $265 and lasts for about five years, so you will need to buy four Brand K sofas to equal one Brand J sofa. In either case, you plan to pay for your sofa using your credit card, which has an interest rate of 14.55%, compounded monthly. You can pay off a Brand J sofa with eight years of monthly payments, and you can pay off a Brand K sofa with three years of monthly payments. Assuming that you make no other purchases on your credit card, over twenty years, which brand will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand J will be $591.36 cheaper than Brand K. b. Brand J will be $85.00 cheaper than Brand K. c. Brand K will be $1,132.23 cheaper than Brand J. d. Brand K will be $340.32 cheaper than Brand J.

Answers

The loan amount is calculated by amortization and Brand K will be $340.32 cheaper than Brand J

What is Amortization?

Loan amortisation is the practise of making recurrent payments over time to completely pay off the principal and interest on a loan.

Mortgage amortisation is a word used in finance to describe the process of paying down your mortgage. The mortgage lender establishes a payment plan for you when you take out a mortgage. This uncomplicated plan, which includes equal payments over the course of your loan if you have a fixed-rate mortgage, is easy to understand.

The amount is calculated using the amortization formula:

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

where:

P is monthly payment

a is credit amount

r is the interest rate

t is the time in years

n is number of times the interest is compounded

Given data ,

Let the total loan amount for the brand J be represented as J

a = $975

r = 14.55% = 0.1455

t = 8 years

n = 12

Now , the amortization formula is

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

P = 975 ÷ {{[(1 + 0.1455/12)^12×8] - 1} ÷ [0.1455/12(1 + 0.1455/12)^12×8]}

P = $17.24

Total amount paid J = $17.24 × 96 = $1655.04

Let the total loan amount for the brand K be represented as K

a = $265

r = 14.55% = 0.1455

t = 3 years

n = 12

Now , the amortization formula is

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

P = 265 ÷ {{[(1 + 0.1455/12)^12×3] - 1} ÷ [0.1455/12(1 + 0.1455/12)^12×3]}

P = $9.13

Total amount paid K = $9.13 × 12 × 3 × 4 = $1314.72

The difference of amount of sofa j and sofa k = D

D = J - K

D = $1 655.04 - $ 1314.72 = $ 340.32

Hence , Brand K will be cheaper than Brand J by $340.32

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Solve for 10 - 6x - 9x^2 = -9x10−6x−9x ​2 ​​ =−9x

Answers

x = (1 ±√41)/6 is the correct answer.

Final answer:

To solve the equation 10 - 6x - 9x^2 = -9x, we'll use the quadratic formula. The solutions for x are (3 + √369)/18 and (3 - √369)/18.

Explanation:

To solve the equation 10 - 6x - 9x2 = -9x, we'll start by bringing all the terms to one side of the equation to set it equal to zero. Rearranging the equation, we get 9x2 - 3x - 10 = 0. We can then use factoring, the quadratic formula, or completing the square to solve for x. In this case, let's use the quadratic formula.

The quadratic formula states:

x = (-b ± √(b2 - 4ac))/(2a)

Using the values from our equation, we have:

x = (-(-3) ± √((-3)2 - 4(9)(-10)))/(2(9))

Simplifying further, we have:

x = (3 ± √(9 + 360))/18

x = (3 ± √369)/18

Therefore, the solutions for x are:

x = (3 + √369)/18

x = (3 - √369)/18

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The fifth term of a geometric sequence is 781.25. Each previous term is 1/5 of the value of the current term. Which recursive formula represents the situation?

Answers

Answer:

[tex]a_n=5a_{n-1}[/tex]

Step-by-step explanation:

Given fifth term of a geometric sequence is 781.25.

[tex]a_5= 781.25[/tex].

Also, each previous term is 1/5 of the value of the current term.

Therefore, common ratio would be 5.

But we just need to find the recursive formula .

Recursive formula of a geometric sequence is given by

[tex]a_n=ra_{n-1}[/tex]

Plugging value of r in above formula, we get

[tex]a_n=5a_{n-1}[/tex]

Therefore, recursive formula would be  [tex]a_n=5a_{n-1}[/tex] represents the situation.

Answer: c

Step-by-step explanation:

buddy beneath me is blabbin to much

Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.

Answers

Answer:

Isosceles triangle.

Step-by-step explanation:

A triangle has been given in this question with the sides 5 cm, 5 cm, 7 cm.

As per definition of the triangle if two sides are equal then opposite angles of these corresponding sides will be equal.

More than this if two sides of a triangle are equal then the triangle is called as isosceles triangle.

Therefore the given triangle with the equal sides 5 cm, 5 cm will be the isosceles triangle.

What is the third term of the sequence defined by the recursive rule f(1)=2, f(n)=2f(n-1) +1

Answers

The function is defined recursively. In order to calulate f(3), f(2) and f(1) must be known. f(1) is given f(1) = 2 f(2) is then calculated f(2) = 2 * f(1) + 1 = 2 * 1 + 1 = 2 + 1 = 3 Finally f(3) can be calculated given f(2)=3 f(3)= 2 * f(2) + 1 = 2 * 3 + 1 = 6 + 1 = 7

If two parallel lines are cut by a transversal and corresponding angles measure 10x – 1 and 8x + 21, what is the value of x?

Answers

Since corresponding angles are congruent:

10x -1 = 8x + 21
-8x        -8x
2x -1 = 21
    +1   +1
2x = 22
x = 11

Hope this helps!

"assume that josh throws the discus 36 times. let y denote the sum of the lengths of the 36 throws.
a. what is the expected value of y

Answers

Assuming that Josh throws the discus 36 times, the expected value of y will be the length each discus reaches for each throw all added together. Specifically, it will be discus throw one, plus discus throw two -- all the way to discus throw thirty-six. Adding all of those throws together will provide the expected value of Y.

A laptop computer is purchased for $1300. After each year, the resale value decreases by 35%. What will the resale value be after 3 years?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1300\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ A=1300(1-0.35)^3\implies A=1300(0.65)^3[/tex]

A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle:two-thirds of my cats plus two

how many cats does she have

Answers

Oh man, this is the easiest college level math question that I could find as a middle schooler. I would say 8, but it's probably the wrong answer, so um bye.

TIMMY and JEROD are eating cupcakes if they each can eat 2 cupcakes in 3 minutes how long will it take them to eat 18 cupcakes?

Answers

it will take them 9 minutes

Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations mc004-1.jpg and x + 4y = 17. Based on this information, which statement is correct? (–3, 5) satisfies neither the equation 6x + 5y = 7 nor the equation x + 4y = 17. (–3, 5) satisfies the equation 6x + 5y = 7 but not the equation x + 4y = 17. (–3, 5) satisfies the equation x + 4y = 17 but not the equation 6x + 5y = 7. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17

Answers

She correctly found the solution to be (-3, 5).
Since (-3, 5) is a solution of the system of equations, then (-3, 5) must satisfy both equations.
Answer is choice D.
answer is d foo on my mama

A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find You decide to buy 3 packages of 10 cans. How much do you pay for each can?the price of each combination of items.You decide to buy 3 packages of 10 cans. How much do you pay for each can?

Answers

To find the cost per can when buying 3 packages of cans, multiply the cost of a single package by 3 to get the total cost, then divide the total cost by the total number of cans to find the cost per can.

To find the cost per can when buying 3 packages of 10 cans each:

Cost of 1 package with 10 cans = $14Cost of 3 packages = 3 x $14 = $42Number of cans = 3 packages x 10 cans per package = 30 cansCost per can = Total cost / Number of cans = $42 / 30 cans = $1.40

kelly puts $350 in a savings account. The savings account accrues interest at a flat rate of 1.05% a month. How much will it count be worth in 7 months?

Answers

the simple interest equation uses "t" as years, but is just cycles, using an APR rate.

now, if we nevermind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.

[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$350\\ r=rate\to 1.05\%\to \frac{1.05}{100}\to &0.0105\\ t=cycles \to 7 \end{cases} \\\\\\ A=350(1+0.0105\cdot 7)[/tex]
This is a problem concerning exponential growth/decay. This formula, y = ab^x, will come in handy. 

The "a" will represent your initial value, the value that you are already given in the problem, in this case, it is $350. The "b" will be your growth/decay factor, in this case is 1.05%. However, it cannot stay a percent, but must be changed into a decimal. For this factor in particular, since there's a decimal already included, you'd move the decimal two places to the left, giving you 0.0105.

Since the factor is more than 1, you'd add the decimal by one, giving you 1.0105. Now, the "x" represents the amount of time. In this case, it would be 7 months. Let's set up the equation:

y = 350(1.0105)^7 = 376.5 (377 if rounded). In 7 months, Kelly will have $376.5. 



I need the answer please

Answers

The correct answer is D

Solving for x
2x+6=x+5
2x-x=5-6
X= -1

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute

Answers

A minute is 6 times as long as 10 seconds, so we expect Karl will ride 6 times as far.

[tex]\dfrac{120\,ft}{10\,s}=\dfrac{120\,ft}{10\,s}\cdot\dfrac{60\,s}{1\,min}=\dfrac{720\,ft}{1\,min}[/tex]

Karl rides 720 ft in 1 minute.

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

20 points! Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read

a.720

b.30

c.360

d.15

Answers

B s the correct answer

Fraction 4 over 5n = Fraction 2 over 3. n = ___? Fraction 2 over 15 Fraction 5 over 6 1Fraction 1 over 5 1Fraction 7 over 15

Answers

So, we know that

4/5n = 2/3

n = 2/3 x 5/4    . . . . .. if fraction is moved to other side of the equation the numerator and denominator will be swithced

n = 10/12     ......................... divide numerator and denominator by 2

n = 5/6

The answer is Fraction 5 over 6

Answer:

what?

Step-by-step explanation:

PLZ HURRY!!!


A line passes through the points (6,5) and (2,2) . Select all that describe this line.

1. y − 5 = 3/4 (x − 6)
2. y − 5 = −4/3 (x − 2)
3. y − 2 = −3/4 (x − 6)
4. ​y − 2 = 3/4 (x − 2)​

Answers

The answer is 2 y-5=-4/3(x-2)

Jeremy is shopping online for skating equipment. He buys a longboard complete with trucks and wheels for $146.25. At checkout, Jeremy gets a discount of $21 on his purchase. The final amount that Jeremy will be billed is $ 42.00 104.25 125.25 167.25

Answers

To solve this, you would need to determine the difference. To do this, you would simply subtract the discount from the total price. 
$146.25 - $21 = $125.25

The final amount Jeremy will be billed is $125.25. 

I hope this helps!

Answer:

Option C. $125.25

Step-by-step explanation:

Jeremy is shopping online for skating equipment.

The price of  long board with trucks and wheels = $146.25

Jeremy gets a discount on his purchase = $21.00

the final amount that Jeremy would be billed.

We subtract the discount from the price of item.

= $146.25 - $21.00 = $125.25

The final amount that Jeremy would be billed is $125.25.

How to factorise and appear a commun facteur

Answers

[tex]\bf \cfrac{x^2}{5}-5\\\\ -------------------------------\\\\ \textit{using "5" as the common factor, what is the 1st term? say is "n"} \\\\\\ 5\cdot n=\cfrac{x^2}{5}\implies n=\cfrac{x^2}{5\cdot 5}\implies n=\cfrac{x^2}{25} \\\\\\ thus\qquad 5\left(\frac{x^2}{25}-1 \right)\qquad \qquad \boxed{5\cdot \cfrac{x^2}{25}\implies \cfrac{x^2}{5}}[/tex]

Fred wants to find 48+34 using compensation.He says you can take 2 from 34 and give it to 48 to make 50.What is the sum?Explain why compensation can work to find the sum.

Answers

It is easier to add 50 to a number than 48 because 50 has a zero in it which makes an addition simpler.

48 + 34 =     borrow 2 from 34 and add to 48

= 50 + 32      50 + 32 is 82

= 82

If 300 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters

Answers

check the picture below, recall the base is a square, so each side being equally "x".

[tex]\bf V(x)=x^2\left( \cfrac{300-x^2}{4x} \right)\implies V(x)=x^2\left( \cfrac{75}{x}-\cfrac{x}{4}\right) \\\\\\ V(x)=75x-\cfrac{x^3}{4}\implies \cfrac{dV}{dx}=75-\cfrac{1}{4}\cdot 3x^2\implies \cfrac{dV}{dx}=75-\cfrac{3x^2}{4} \\\\\\ \cfrac{dV}{dx}=\cfrac{300-3x^2}{4}\impliedby \textit{now, let's set the derivative to 0} \\\\\\ 0=\cfrac{300-3x^2}{4}\implies 0=300-3x^2\implies 3x^2=300\implies x^2=100 \\\\\\ x=\pm\sqrt{100}\implies x=\pm 10[/tex]

now, if you do a first-derivative test on +10, say check 9.99 and 10.01 for example, you'll notice you'd get + and - value respectively, meaning is a maximum.

write 3.25 x 10^4 as an ordinary number
could you please show your working out it would be helpful

Answers

I assume you want to convert the number from scientific notation to standard form.

[tex]3.25\times10^4[/tex] is equivalent to [tex]3.25 \times 10,000[/tex], which translates to taking the decimal point in 3.25 and moving it 4 places to the right, obtaining [tex]32,500[/tex].

Numbers that are used to represent the rank or position of an object or a person are known as ordinal numbers.

The ordinary number for 3.25 x [tex]10^{4}[/tex] is 32500.

What is an ordinary number?

Numbers that are used to represent the rank or position of an object or a person are known as ordinal numbers.

We have,
3.25 x [tex]10^{4}[/tex]

We need to remove the decimal point and the exponents 4.

Let us find in two parts:

3.25 can be written as 325/100 ______(1)

[tex]10^{4}[/tex] can be written as 10 x 10 x 10 x 10 = 10000 ______(2)

Now,

From (1) and (2)
= 3.25 x [tex]10^{4}[/tex]

= (325 / 100) x 10000

= (325/100) x 100 x 100

100 can be canceled.

= 325 x 100

= 32500

Thus the ordinary number for 3.25 x [tex]10^{4}[/tex] is 32500.

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In 2015, in Buffalo, New York, there were 8,625 arrests, 2,678 robberies, 865 assaults, and 20 murders. The population of Buffalo is 258,959. What is the ratio of the number of assaults to the number of robberies in simplest form?

Answers

I'm pretty sure simplest form would still be 865:2678
I could be wrong tho

Answer:

The simplest form of the ratio is: [tex]\dfrac{865}{2678}[/tex]

Step-by-step explanation:

We are given information about the buffalo in  New york in the year 2015 as:

Number of arrests= 8,625

Number of robberies=2678

Number of assaults= 865

Number of murders= 20

The population of Buffalo is 258,959.

he ratio of the number of assaults to the number of robberies in simplest form is given by:

[tex]\dfrac{865}{2678}[/tex]

As the number in the numerator and the denominator do not have a common factor. hence the simplest form of the ratio is:

[tex]\dfrac{865}{2678}[/tex]

The distance from Talamunda to Velcratia is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the train traveling?

Answers

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\quad \begin{cases} d=700\\ t=5 \end{cases}\implies 700=5r\implies \cfrac{700}{5}=r \\\\\\ \stackrel{mph}{140}=r[/tex]

Answer: 140 miles per hour

Step-by-step explanation:

the figure below will be translated 4 units up and 3 units to the right. Which of the following represents the coordinates of the transformed figure?

A. A'(6, 9), B'(9, 14), C'(12, 11)
B. A'(8, 10), B'(11, 15), C'(15, 12)
C. A'(9, 9), B'(12, 14), C'(16, 11)
D. A'(9, 10), B'(12, 15), C'(16, 12)

Answers

Procedure: add 3 to every x-coordinate and 4 to every y-coordinate.

=> A (5,6) → A' (5 + 3, 6 + 4) = A'(8,10)

=> B(8,11) → B' (8 + 3, 11 + 4) = B'(11,15)

=>C(12,8) → C' (12 + 3, 8 + 4) = C'(15,12)

Answer: B. A'(8, 10), B'(11, 15), C'(15, 12)

In Zoe's class, 4 /5 of the students have pets. Of the students who have pets, 1/8 have rodents. What fraction of the students in Zoe's class have rodents? Enter the answer in simplest form. The fraction of students in Zoe's class who have rodents is

Answers

4/5 x 1/8= 4/40= 1/10

Answer:

The fraction of students in Zoe's class who have rodents is [tex]\frac{1}{10}[/tex].

Step-by-step explanation:

In Zoe's class, 4 /5 of the students have pets.

Of the students who have pets, 1/8 have rodents.

This means [tex]\frac{1}{8} of \frac{4}{5}[/tex] have rodents.

So,fraction of students who have rodents = [tex]\frac{1}{8}\times\frac{4}{5}[/tex]

= [tex]\frac{1}{10}[/tex]

The fraction of students in Zoe's class who have rodents is [tex]\frac{1}{10}[/tex].

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