Answer:
You should choose an account with a 7% annual interest rate which is compounded quarterly
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
part 1)
we have
substitute in the formula above
part 2)
we have
substitute in the formula above
Answer:
4
Step-by-step explanation:
Answer:
e) 75
Step-by-step explanation:
Given the following :
Total length of cable = 60 foot
Length of each stripe = (4/5) of a feet
Number of stripes = ( total cable length / length of each stripe)
Number of stripes = ( 60 / (4/5))
Number of stripes = 60 ÷ 4/5
Number of stripes = (60 * (5/4)
= (60 * 5) / 4
= 300 / 4
= 75
Number of stripes made = 75
Answer:Say for example we have segment A with endpoints coordinates of (a,b) and (x,y) and we wish to divide the segment into parts. The ratio of division is assumed to be r. In this case, we identify the first coordinates of the segment next to (a,b) by:
(c,d) = ((x-a)/r + a , (y-b)/r + b)
This formula is used including the constant portion of the division of the segment, (x-a)/r. The addition, a, can vary depending on the position of the coordinates to be taken. On the other end, before (x,y), the coordinates should be
(v,w) = (y - (x-a)/r , z - (y-b)/r )
Hope it is right can i get a crown if this helped please
Answer:
<h2>
The value of x is 2√2</h2>
Step-by-step explanation:
Use trig (specifically, the sine function) to find the length of JL:
Since sin Ф = opp / hyp, opp = hyp·sin Ф.
Here, opp is the length of JL and is found as follows:
|JL| = 8√2·sin 30° = 8√2·(1/2) = 4√2
Note that this 4√2 is the length of the hypotenuse of the smaller triangle.
Applying the definition of the sine function again:
x = hyp· sin Ф, and with hyp = 4√2 and Ф = 45°, we have:
x = (4√2)(1/2) = 2√2
The value of x is 2√2
