Answer:
The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b.
Step-by-step explanation:
Answer:
4585.8 feet
Step-by-step explanation:
If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:
250 - 10 = 240
The hypotenuse of the triangle is the length of line of sight. We can call this "x".
So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:
Now, we cross multiply and solve for x, line of sight length:
Y = 5.5x is a linear equation (i.e. the highest power of the variables is 1). Therefore, the line will be a straight line with a slope of 5.5
Answer:
Kindly check explanation
Step-by-step explanation:
Car A follows a linear pattern, as a straight well fitted line was obtained from the regression model, with a fixed amount as Depreciation per year.
CarB follows an exponential trve das obtained on the regression plot.
Using technology :
Where, f(x) = price of car
The linear function for car 1 :
f(x) = - 6000x + 38000
THE exponential function :
f(x) = 38000(0.85)^x
In 5 years :
Car 1:
f(5) = - 6000(5) + 38000 = 8000
Car 2 :
f(x) = 38000(0.85)^5 = 16,860.801
Hence, car 2 has the the greatest value after 5 years
Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.
