Answer:
5 = 5
5 < 6
7 > 6
Step-by-step explanation:
The two slashes is the equal sign, comparing two numbers that are of the same value. The sign below that means "less than," and 5 is less than 6. The sign below the "less than" sign is the "greater than" sign, and in the given example, 7 is GREATER THAN 6.
- Slope Formula:

So remember that <u>perpendicular lines have slopes that are negative reciprocals to each other</u> and <u>parallel lines have the same slope.</u> To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:

Since these slopes aren't the same nor are they negative reciprocals to each other, <u>the lines are neither parallel nor perpendicular.</u>
Answer:
41 and 77
Step-by-step explanation:
x: his age the first time he went to space
y: his age the second time he went to space
the second time he went to space he was 5 years younger than twice the age when he went his first time, then:
y = 2x - 5
the sum of both ages is 118, then:
x + y = 118
If you replace y = 2x - 5 in x + y =118:
x + 2x - 5 = 118
3x = 123
x = 41
replacing x:
41 + y = 118
y = 118 - 41
y = 77
so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)
We have been given that Sarah invests her graduation money of $1,750 in an annuity that pays an interest rate of 6% compounded annually. We are asked to write an exponential function for her investment growth.
We will use compound interest formula to solve our given problem.
, where
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.

Since interest is compounded annually, so
.



Therefore, the function
describes Sarah's investment growth.