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yaroslaw [1]
3 years ago
12

An LCD TV costs $459.95. What will the total cost be with 8.25% sales tax? (You must round to the nearest cent.

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

$497.90

Step-by-step explanation:

8.25% sales tax becomes 0.0825 as a decimal fraction.

Then the total cost would be $459.95 plus 0.0825($459.95), or, in more compact form,

Total Cost = (1.0825)($459.95) = $497.90

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Honey and Money are twin brothers. Mother wants to equally divide a rectangular shaped cake of 5cm wide and 6cm long. Find the l
tatuchka [14]

Answer:

Length of rectangular cake = 5 cm

Breadth of rectangular cake = 6 cm

Area of rectangle = 5 cm × 6 cm =30 cm²

If cake is equally distributed between Honey and Money, then areas of two parts should be equal.

So, Amount of cake that Honey and money got \frac{30}{2}=15

Share of each (Honey and Money)=15 cm²

So, if the third cake if it was cut diagonally ,the cake must have some height.

Let the height of cake be H.

So, Height of third cake =\sqrt{L^2+B^2+H^2}\\\\=\sqrt{5^2+6^2+H^2}\\\\=\sqrt{61+H^2}

If , H=0 that is height is negligible having 0 thickness,

Then the Length of third cake, which is divided into two parts=√61=7.81 cm

5 0
3 years ago
The length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the
denpristay [2]

a.  The construct the expression for the area of the rectangle in terms of x is y=2.5x

b. The area should be 2,560.

Given that,

  • the length of a rectangular house is two and a half times its width.

Based on the above information, the calculation is as follows:

a) The expression should be y = 2.5x

b) The area should be

=2.5x^2\\\\= 2.5(32)^2  

= 2560

Learn more: brainly.com/question/1301963?referrer=searchResults

3 0
2 years ago
Read 2 more answers
A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

138=19.3(1089)^m\\(1089)^m=7.15

Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

5 0
2 years ago
What is the areas of triangle
SashulF [63]

135 is the answer hope this helps

6 0
2 years ago
A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (
NikAS [45]

Answer:

A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (3), B (4), C (2), and D (3). The grading system assigns quality points as follows: A: 4; B: 3; C: 2; D: 1; and F: 0. Find the student’s GPA for this semester. Round your answer to the nearest thousandth.

another way is

This is a weighted average question. You are going to "weight" each course by the number of credits it is worth and then divide by the total number of credits. In other words, you are going to multiply each grade (A=4, B=3) by the number of credits attached to that grade. This will ensure that the courses that have more credits count more in the overall average. Then you are going to divide by the total number of credits to get the overall GPA.

So,

(3*4 + 4*3 + 2 *2 + 3*1)/(3+4+2+3) = GPA

Step-by-step explanation:

bran-list please

6 0
2 years ago
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