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3 years ago

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Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

Soln,

2 has the highest frequency

Mode=2

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Do the numbers in the table below represent a proportional relationship?

inysia [295]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

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Spinner labeled 1-10. If you spin the spinner 50 times how many times do you expected to land on 10

Fantom [35]

5 times, because 50/10= 5

7 0

3 years ago

An executive invests $28000, some at 8% and the rest at 6% annual interest. If he receive annual return of $2000 how much is inv

Svetlanka [38]

Answer:

$16,000 at 8% annual interest.

$12,000 at 6% annual interest.

Step-by-step explanation:

Let x be amount invested at a rate of 8% annual interest and y be the amount invested at a rate of 6% annual interest.

We have been given that an executive invests $28000, some at 8% and the rest at 6% annual interest. We can represent this information as:

$x+y=28,000...(1)$

We are also given that he received annual return of $2000. We can represent this information as:

$(\frac{8}{100})x+(\frac{6}{100})y=2,000...(2)$

$0.08x+0.06y=2,000...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=28,000-y$

Substituting this value in equation (2) we will get,

$0.08(28,000-y)+0.06y=2,000$

$2240-0.08y+0.06y=2,000$

$2240-2240-0.08y+0.06y=2,000-2240$

$-0.08y+0.06y=2,000-2240$

$-0.02y=-240$

$\frac{-0.02y}{-0.02}=\frac{-240}{-0.02}$

$y=12,000$

Therefore, the executive has invested $12,000 at a rate of 6% annual interest.

Upon substituting y=12,000 in equation (1) we will get,

$x+12,000=28,000$

$x+12,000-12,000=28,000-12,000$

$x=16,000$

Therefore, the executive has invested $16,000 at a rate of 8% annual interest.

7 0

3 years ago

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The ages of three family children can be expressed as consecutive integers. the square of the age of the youngest child is 4 mor

sukhopar [10]

Let the middle child be x
youngest child = x - 1
Oldest child = x + 1

(x - 1)^2 = 8(x + 1) + 4
x^2 - 2x + 1 = 8x + 8 + 4
x^2 - 10x - 11 = 0
(x - 11) * (x + 1) = 0

X = - 1 makes no sense. How can a middle child be - 1 years old?
x = 11

The youngest child is 10
The middle child is 11
The oldest child is 12

Check
=====
10^2 = 100
(8*12) + 4
96 + 4 = 100 So the results have been checked.

3 0

3 years ago

Find the measure of the unknown angle

Alexus [3.1K]

Answer:

97 degrees

Step-by-step explanation:

180 - 83 + 97

5 0

3 years ago

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