The fish is 2.25 ft above the water surface.
Step-by-step explanation:
- Step 1: Given expression for height of the fish above the water surface, y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds
⇒ y = -16(0.375)² + 12 × 0.375
= -2.25 + 4.5
= 2.25 ft
Part a: hexagon is a six sided polygon.
Part b: dodecagon is a 12 sided polygon.
Part c: decagon is a 10 sided polygon.
Explanation:
Part a: The given polygon consists of 6 sides.
Hence, a polygon with 6 sides is called as hexagon.
Part b: The given polygon consists of 12 sides.
Hence, a polygon with 12 sides is called as dodecagon.
Part c: The given polygon consists of 10 sides.
Hence, a polygon with 10 sides is called as decagon.
Answer:
14 pieces of string with 1/8 yard left. Hope this helped!
Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
