Answer: Reduction
(0,0)
1/3
Step-by-step explanation:
Answer:
5 feet away
Step-by-step explanation:
It is a Pythagorean Triple.
The hypotenuse is 13 feet and one of the sides is 12 feet. To find the length of the base, use the Pythagorean Theorem.
13^2=12^2+c^2
169=144+c^2
c^=25
c=5
Differentiate both sides with respect to
:
When
, you have
For part (b), we now assume that
and
are functions of an independent variable, which we'll call
(for time). Now differentiating both sides with respect to
, we have
where the chain rule is used on the right side. We're told that
is decreasing at a constant rate of 0.1 units/second, which translates to
. So when
, you have
where the unit is again units/second.
Answer:
The amount is $2572.93 and the interest is $572.93.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$2000 , r=6.5% , n=1 and t=4 years
After plugging the given information we have
AAAA=2000(1+0.0651)1⋅4=2000⋅1.0654=2000⋅1.286466=2572.93
STEP 2: To find interest we use formula A=P+I, since A=2572.93 and P = 2000 we have:
A2572.93II=P+I=2000+I=2572.93−2000=572.93
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Conjugate of z is:</u>
<u>Product zz' is:</u>
- zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34
