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mihalych1998 [28]
3 years ago
11

Answer the question about the promissory note given.

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0
That he is keeping track who he owes money to and when he has to do it
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The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied t
mote1985 [20]
<span>3)shifted right 7 units</span>
3 0
3 years ago
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Mr Ahmad bought 2 fans and 3 table lamps for $540. Each fan cost 3 times as much as a table lamp. (a) Find the cost of each tabl
sergey [27]

Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

4 0
2 years ago
Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.
andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

                              Fiction                Non-Fiction                Total

9th grade                35                            8                             43

10th grade               52                            12                           64

Total                        87                            20                           107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability P(Non-fiction| 9th\ grade).

Now, P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

So, we get,

P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19

<h3>Thus, the required probability is 0.19.</h3>
5 0
3 years ago
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping
seropon [69]

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that A(0) = 109

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that r = 0.03

So

A(t) = A(0)(1-r)^t

A(t) = 109(1-0.03)^t

A(t) = 109(0.97)^t

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

A(4) = 109(0.97)^4 = 96.49

Rounding to the nearest whole number, 96 people.

6 0
3 years ago
What is the surface area of the right prism given below?
posledela

Answer: Option D.

Step-by-step explanation:

You can calculate the surface area of this right prism by adding the area of its faces.

You can observe that the faces of the right prism are:  Three different rectangles and two equal triangles.

The formula for calculate the  area of a rectangle is:

A=lw

 Where "l" is the lenght and "w" is the width.

The formula for calculate the  area of a triangle is:

A=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:

a=\sqrt{b^2+c^2}

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then, this is:

a=\sqrt{(8units)^2+(15units)^2}=17units

Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:

SA=(10units)(8units)+(15units)(10units)+(17units)(10units)+2(\frac{(15units)(8units)}{2})\\\\SA=520units^2

5 0
3 years ago
Read 2 more answers
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