Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
<u>To calculate the initial investment (PV), we need to use the following formula:</u>
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9
is proved
<h3><u>
Solution:</u></h3>
Given that,
------- (1)
First we will simplify the LHS and then compare it with RHS
------ (2)
Substitute this in eqn (2)
On simplification we get,
Cancelling the common terms (sinx + cosx)
We know secant is inverse of cosine
Thus L.H.S = R.H.S
Hence proved
Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.
Step-by-step explanation:
You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.
You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards
-8x+2=-7x+10
-x+2=10
-x=8
x=-8
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) .... x_1 = 3 and y_1 = - 1
m is the slope to x - 3y = 9 because (lines are parallel )
calculate : m by equation x - 3y = 9 :
x = 3y +9
divid by : 3 1/3 x = y + 3
y = (1/3) x - 3 so : m = 1/3
an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :
y +1 = (1/3)(x - 3)
