Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is
Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and
Begin by dividing both sides by 4400 to get
The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:
The power rule of natural logs says we can move that exponent down in front, giving us:
Divide both sides by ln(1.075) to get
Do this division on your calculator to get
t = 28.2 years
Answer:
32
Step-by-step explanation:
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| =
2-9i
so the absolute value is |y|
|y|=√
2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
|
−
2
−
i
|
=
√
5
Explanation:
Absolute value of a complex number a
+
i
b is written as |
a
+
i
b
| and its value as √a
2
+
b
2
.
Hence, absolute value of −
2
−
i is √
(
−
2
)
2
+
(
−
1
)
2
=
√
4
+
1
=
√
5
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
