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3 years ago

The sum of a number and -2 is no more than 6

Mathematics

1 answer:

Kay [80]3 years ago

5 0

X - 2 < 6
x < 8
x = 7

i am a mathematics teacher. if anything to ask please pm me

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Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return h

Kay [80]

The rate of interest is 25%

Explanation:

Given:

Principal, P = $2,000

Amount, A = $2500

Time, t = 1 year

Rate of Interest, r = ?

We know:

$Amount = P(1+\frac{r}{100})^t$

On substituting the value we get:

$2500 = 2000 (1 + \frac{r}{100})^1\\ \\\frac{25}{20}= (1+\frac{r}{100})\\$

$\frac{5}{20} = \frac{r}{100}\\ \\r = \frac{100 X 5}{20} \\\\r = 25$

Therefore, the rate of interest is 25%

5 0

3 years ago

Read 2 more answers

Write the equation in point slope form of the line that passes through the given points (3,1) m=2

iren2701 [21]

Answer:

The equation is y = 2x - 5

Solution:

Here, x= 3; y= 1

We know the slope of an equation is given by y = mx+c

The value of m which is equal to 3 is given in the question.

Putting the value of m in the slope intercept form we get,

y = 2x+c

To find the The value of c, we substitute the value of x and y from any two given point. Lets take x = 3 and y = 1

$\Rightarrow 1=2(3)+c$

$\Rightarrow1= 6 +c$

$\Rightarrow1-6 = c$

$\Rightarrow-5 = c$

Therefore, the slope intercept equation becomes y = 2x - 5

4 0

4 years ago

Please help for 18 n 19

Hitman42 [59]

$18. \ \ \frac{-1}{x-9}- \frac{-2}{x+7}= \frac{-1(x+7)+2(x-9)}{(x-9)(x+7)}= \frac{-x-7+2x-18}{(x-9)(x+7)}= \frac{x-25}{(x-9)(x+7)}$

$\frac{2}{x}+ \frac{12}{x}=7 \\ \\ \frac{14}{x} =7 \\ \\ x= \frac{14}{7} \\ \\ x=2$

7 0

3 years ago

Find the ratio of a:b, if 2a-b/6=b/3

Katen [24]

Answer:

$\frac{a}{b}=\frac{1}{4}$

Thus, the ratio is:

a:b = 1:4

Step-by-step explanation:

Given the expression

$2a-\frac{b}{6}=\frac{b}{3}$

$\mathrm{Add\:}\frac{b}{6}\mathrm{\:to\:both\:sides}$

$2a=\frac{b}{2}$

Divide both sides by 2

$\frac{2a}{2}=\frac{\frac{b}{2}}{2}$

$a=\frac{b}{4}$

Divide both sides by b

$\frac{a}{b}=\frac{1}{4}$

Thus, the ratio is:

a:b = 1:4

7 0

3 years ago

there is a string green and white strung around a mirror. For every 6 green lignts there are 4 white. If there are 30 green ligh

Klio2033 [76]

6 times 5 is 30 so 4 times 5 eaquls 20
The answer is 20

7 0

3 years ago