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Ilya [14]
3 years ago
12

A stereo is marked down $105. if this is a 25% decrease, find the cost price?

Mathematics
1 answer:
Aneli [31]3 years ago
3 0
Answer:420$
Solution: 105•4= 420$
25%= 1/4 therefore we can find the original price by multiplying the decrease with 4
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Question 10
kicyunya [14]

Answer:

47.5 and 2853.56 m

Step-by-step explanation:

Graph the equation on desmos and use the graph to find the maxima and the roots

6 0
3 years ago
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The median of the marks 10, 13, 3x-1, 3x+1, 18, 18 arranged in ascending order is
Lorico [155]

Answer:

a. Marks = 10, 13, 14, 16, 18, 18

b. mode = 18

c. Range = 8

Step-by-step explanation:

==>Given the following data set arranged in ascending order:

10, 13, 3x-1, 3x+1, 18, 18

Median = 15

==>Required:

a. Marks:

To get each marks, let's find the value of x since we know median to be 15.

10, 13, [3x-1, 3x+1], 18, 18

Our median in this even number of data set would be the average of the 2 middle values which would give us 15.

Thus, we have:

[(3x-1) + (3x+1)] ÷ 2 = 15

[3x-1 + 3x+1] ÷ 2 = 15

[3x+3x-1+1] ÷ 2 = 15

6x/2 = 15

Multiply 2 by both sides

6x = 30

Divide 6 by both sides

x = 5

Now let's plug in the value of x to get out marks:

10, 13, 3(5)-1, 3(5)+1, 18, 18

10, 13, 14, 16, 18, 18

b. Mode is the most appeared data value, which is 18

c. Range is the difference between the highest and lowest value = 18 - 10 = 8

5 0
3 years ago
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
3 years ago
What is 73.24 rounded to the nearest tenth
Jobisdone [24]

The best way to remember which place is rounded to the nearest 10th, 100th, 1000th, etc., is by counting the number of 0's.

This question wants you to round to the nearest 10th.

How many 0's does 10 have? 1.

So we round one space after the decimal.

This gets us 73.2

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And now
shtirl [24]

Answer:

I know another one

Step-by-step explanation:

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