Answer:
The area of DBE = 27 square units
Step-by-step explanation:
Area of ABC = 3 square units
In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2
Hence ABC was enlarged 3 times its size.
We know by formula that:
Area of ABC = 1/2(base x perpendicular)
3 = 1/2(2 x p)
=> p = 3
As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p
= 3*3 = 9
AREA OF DBE = 1/2(base*perp)
= 1/2(6*9)
= 27 square units
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
Answer:
0.68 : 0.32
Step-by-step explanation:
the probability of all the outcomes of an event is always 1 .
if P(E) = 0.32,
P(E') = 1 - 0.32
= 0.68
N.B that P(E') is the same as P( not E ).
since your answer should be given in the ratio form, as the odds against E ( probability not E : probability E),
P(E') : P(E)
0.68 : 0.32
hope this helps you!
-s.
Answer:
What happened?
Step-by-step explanation:
