Answer:
3.24m
Step-by-step explanation:
SOH
sin(26)=O/7.4
O=7.4 sin(26)
O=3.24 (3sf)
Youll have 80 pennies. dime=.10 10x8=80
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)
we just need the slope
take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1
the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation
solve for where y=x-1 and y=x-x² intersect
set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero
x-1=0
x=1
we got this point already
x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2
it intersects at (-1,-2)
Answer:
y/(x - 10)
Step-by-step explanation:
The quantity is x minus ten, which means that it is (x - 10)
y divided by the quantity = y/(x - 10)
~
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed
From the information given,
P = 5000
r = 9
5.5% = 5.5/100 = 0.055
Assuming they are 365 days in a year
n = 365 because it was compounded 52 times in a year.
t = 29/365 = 0.0794
Therefore,
A = 5000(1 + 0.055/365)^365 × 0.0794
A = 5000(1 + 0.00015)^29
A = 5000(1.00015)^29
A = $5022
