Answer:
$1,630.08
Step-by-step explanation:
The value of an amount earning interest continuously compounded is given by the formula ...
A = Pe^(rt)
The value of P can be found by dividing by its coefficient:
P = A/(e^(rt)) = Ae^(-rt)
P = $1700·e^(-0.014·3) ≈ 1630.0786
Terry placed $1,630.08 in the account.
Answer:
Step-by-step explanation:
Let ratio be x
$72=5x+4x
$72=9x
X=$72/9=$8
Required share=5×$8=$40
And 4×$8=$32
Answer:
177,100 ways
Step-by-step explanation:
"If you number the flips 1 through 25, then each different combination of 19 heads from the 25 total is considered different. So 25C19 = 25C6 is the number of distinct U Tube videos you could watch to yield your outcome. So it is 177,100 ways."
B.) 91
13x7=91 being the lowest common multiple available
Answer:
x = 6, y = 4
Step-by-step explanation:
The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.
- DH = HF ⇒ x + 2 = 2y
- GH = HE ⇒ 4x - 3 = 5y + 1
x + 2 = 2y,
4x - 3 = 5y + 1
x = 2y - 2,
4(2y - 2) - 3 = 5y + 1
x = 2y - 2,
8y - 8 - 3 = 5y + 1
x = 2y - 2,
8y - 11 = 5y + 1
x = 2y - 2,
8y - 5y = 11 + 1
x = 2y - 2,
3y = 12
x = 2y - 2,
y = 4
x = 2*4 - 2,
y = 4
x = 6,
y = 4