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Rzqust [24]
3 years ago
9

Find the slope of a line through a pair of points (2,-3) and (8,4)

Mathematics
1 answer:
vredina [299]3 years ago
4 0
Slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6
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Suppose that you buy a bond with face value $1,000 that was originally issued 18 months ago. The maturity date is 4 years from t
ziro4ka [17]

Answer:

Step-by-step explanation:

Interest earned during the rest of 2 years and 6 months

40 + 40 + 40 = 120

he will be getting 1000 at the time of maturity ie after 2.5 years .

Total receipt = 1000 + 120 = 1120

investment made = 820

total receipt earned = 1120

profit made = 300

time = 2.5 years

profit = investment x rate of intt x time / 100

300 = 820 x r x 2.5 / 100  where r is rate of interest

r = 30000 / 820 x 2.5

= 14.63 % .

4 0
2 years ago
Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
Alborosie

Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
3 years ago
Find the measure of a central angle of a regular polygon with 10 sides
Paraphin [41]

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

Thus, we substitute n for 10, and you get:

(10-2)180=1440

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

5 0
3 years ago
If y-18=14 what is the value of 3(y+5)?
svlad2 [7]
y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111
4 0
2 years ago
Name a decimal between 0.4 and 0.5
Aliun [14]

To find a number between both decimals, what you can do is take the average of both numbers.

We have then:

average = \frac{0.4+0.5}{2}

Rewriting we have:

average = \frac{0.9}{2} \\average = 0.45

Therefore, the decimal obtained is a number between 0.4 and 0.5

Answer:

a decimal between 0.4 and 0.5 is:

average = 0.45

6 0
3 years ago
Read 2 more answers
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