The manager of a store increases the price of a popular product by 9​%. Let t be the original price of the product. The new price is t+0.09t. Write an equivalent expression by combining like terms. If the original price was ​$15.99​, estimate the new price by first rounding the original price to the nearest dollar.

Answers

Answer 1

Answer:

new equation : 1.09t = new price

Step-by-step explanation:

1.09(15.99) = 17.4291

it's about $17


Related Questions

How would you express sin(-a-b)

Answers

Answer:

-4-7

Step-by-step explanation:do 4 and 7

(3x(3)+9X(2)+27X)/3X

Answers

3x | 3x^3+9x^2+27x |x^2+3x+9x

- 3x^3

-------

9x^2

- 9x^2

---------

27x

- 27x

--------

0

Answer:

x^2 + 3x + 9x

Hope you could get an idea from here.

Doubt clarification - use comment section.

Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=

...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)

Answers

Using the binomial distribution, it is found that:

a)

The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.

b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].

Item a:

[tex]E(X) = np = 40(0.3) = 12[/tex]

[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]

Hence:

The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.

Item b:

The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:

[tex]E(X) = \frac{q}{p}[/tex]

In this problem, one success, hence [tex]q = 1[/tex] and:

[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]

They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.

Answers

Answer:

the length of rectangle is 27 in

A metric drawing scale of 1:100 typically depicts units in

Answers

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

Solve the inequality. Graph the solution.

−16>x÷2

Answers

Answer:

-32>x

Step-by-step explanation:

-16>x÷2

-16×2>x

-32>x

Which of the following statements correctly uses the distributive property?

-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)

Answers

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !

#8) Identify all pairs of congruent sides ​

Answers

The sides are (TQ and HE), (RS and GF), (HG and ST), (RQ and EF)

Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π

Answers

C is the right answer because the period should be pi/(1/3), so the answer is 3pi

answer both pls help fast

Answers

Answer:

Answers given in the photo

Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.​

Answers

Answer: Max has 4 cards.

Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3

Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.

Answer:

4 cards

Step-by-step explanation:

Each card takes  [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in

[tex]\frac{1}{6} x=\frac{2}{3}[/tex]

And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:

[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]

And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.

[tex]1x=\frac{12}{3}[/tex]

The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:

[tex]x=\frac{12}{3}[/tex]

And we can simplify the fraction...:

[tex]x=4[/tex]

And we are done!

Couldn't make a fraction bar but hopes this helps :(

You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss a payment. What are your fees plus interest for the month?

Answers

Answer:

multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,

Step-by-step explanation:

In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.


Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

Help a brother out.ill give brainlist

Answers

[tex]\text{a. cm}^2\\\\\text{b. cm}^3\\\\\text{c. cm}\\\\\text{d. cm}^2\\\\\text{e. cm}^3\\[/tex]

What are the measures of the other three angles formed by the intersection

Answers

Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?

Answers

Hsbshshhsshhshshshhshs

Solve the quadratic equation by using a numeric approach.

0.02x squared + 0.5x - 4 = 0

a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3

Answers

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

Determine which of the values is a solution of 4t + 6 less thank or equal to 10.

Answers

Answer:

Can you put the screen more closer to the values

Step-by-step explanation:

Or you could type  in the values so i can see.

Please help me solve this

Answers

Answer:

Solve what?

Step-by-step explanation:

You didn't put the question.

Which function is a translation of the parent absolute value function?
(will give branliest)!!!!

Answers

Answer:

f(x)=|x+6|

Step-by-step explanation:

it moves 6 to the left!

Help please ! Sishsoshsishsjdhshishd

Answers

(-1,-5) is the answer top left.

Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?

Answers

Here, both the triangles have equal sides.So, the two triangles are related by SSS.If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

Answer:

SSS, congruent.

Hope you could get an idea from here.

Doubt clarification - use comment section.

9.
10. Find two numbers such that five times the larger number plus twice the smaller is 70, and four
times the larger minus twice the smaller is 38.

Answers

The two numbers are 12 and 5.

Two equations can be derived from this question

5x + 2y = 70 equation 1

4x - 2y = 38 equation 2

Where:

x = larger number

y = smaller number

In order to determine the  larger number, the following steps hare to be taken:

Add equation 2 and 1

9x = 108

Divide both sides by 9

x = 108/9

x = 12

In order to determine the smaller number, substitute for x in equation 1

5(12) + 2y = 70

60 + 2y = 70

70 - 60 = 2y

10 = 2y

y = 5

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Helppp for a math exammm

Answers

Answer:

d.

Step-by-step explanation:

The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.

Answers

Answer:

The bigger number is 13 and the smaller number is 5

21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.

Answers

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?​

Answers

Answer:

19

Step-by-step explanation:

in question given ,x = 2, y = 3, z = 5 in this way

(3x+3z+2w) and find the value of w . according to given values and put

Answer:

  4 +30/w . . . . for any w≠0

Step-by-step explanation:

The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.

The ratio requirement means ...

  (x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5

Considering the first equality, we can multiply by 6 and subtract the right side.

  3(x -y +z) -2(y -z +2w) = 0   ⇒   3x -5y +5z -4w = 0

Considering the first and last expressions, we can multiply by 10 and subtract the right side.

  5(x -y +z) -2(2x +z -10) = 0   ⇒   x -5y +3z = -20

These two equations have solutions ...

  x = 10 -z +2w

  y = 6 + 0.4z +0.4w

Using these expressions in the ratio of interest, we have ...

  (3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w

  = (30 +4w) : w

Expressed as a mixed number, the ratio of interest is ...

  (30 +4w)/w = 4 +30/w . . . . an infinite number of solutions

__

For positive values of w that are divisors of 30, there are 8 possible values:

   (w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)

_____

Check

It might be interesting to substitute the expressions for x and y into our original equation(s).

  (x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)

  (y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)

  (2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)

All of these expressions are identical, as they should be.

Kenya uses mental math to find the sum of 235 and 23. She uses 235,20 and one other number. What is the missing number

Answers

Answer:

Step-by-step explanation:

She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3

it's C. y = 1/2x + 2

Answers

Answer: what are you asking im lost

Step-by-step explanation:

For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=

Answers

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

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