Answer:
Step-by-step explanation:
This equation is in slope intercept form (). This is called slope intercept form for a reason -
is always the slope and
is always the y-intercept.
We can see that the coefficient on the x-term is and the constant being added to it is 5.
This means 5 is the y-intercept.
Hope this helped!
Answer:
B) 40 ft
Step-by-step explanation:
Use the picture for a reference.
1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.
2. The Pythagorean Theorem
a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
a = 30 ft (width)
b = x ft (unknown length)
c = 50 ft (diagonal)
3. Substitute in the values:
30^2 + x^2 = 50^2
900 + x^2 = 2500
x^2 = 1600
x = 40
The length of the field is 40 ft.
Answer:
Initial principal -$300,000
Investment amount after yr 3-$390,000
Final investment amount, after 6 yrs-$519,090
Step-by-step explanation:
Let X be the amount initially invested.
#The amount after 3 yrs of simple interest is calculated as:
#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:
Hence, the amount initially invested as $300,000
#Amount of invested after 6 yrs is therefore:
Hence, the total amount of the investment after 6 yrs is $519,090
#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:
Hence, the total amount of the investment after first 3 yrs is $390,000