Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
7 = 49 ÷ r
Step-by-step explanation:
To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...
Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:
7 = 49 ÷ r
To prove this, input r = 7 into each of the equations:
6 = 30 ÷ r
⇒ 6 = 30 ÷ 7
⇒ 6 ≠ 4.285... ← incorrect!
7 = 54 ÷ r
⇒ 7 = 54 ÷ 7
⇒ 7 ≠ 7.714... ← incorrect!
7 = 49 ÷ r
⇒ 7 = 49 ÷ 7
⇒ 7 = 7 ← correct!
9 = 72 ÷ r
⇒ 9 = 72 ÷ 7
⇒ 9 ≠ 10.285... ← incorrect!
0° 42' 48.6".
Conversion: d = int(.7135°) = 0°m = int((.7135° - 0°) × 60) = 42's = (.7135° - 0° - 42'/60) × 3600 = 48.6".7135°= 0° 42' 48.6"
How to convert decimal degrees to degrees,minutes,secondsOne degree (°) is equal to 60 minutes (') and equal to 3600 seconds ("):
1° = 60' = 3600"
The integer degrees (d) are equal to the integer part of the decimal degrees (dd):
d = integer(dd)
The minutes (m) are equal to the integer part of the decimal degrees (dd) minus integer degrees (d) times 60:
m = integer((dd - d) × 60)
The seconds (s) are equal to the decimal degrees (dd) minus integer degrees (d) minus minutes (m) divided by 60 times 3600:
s = (dd - d - m/60) × 3600
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
I would invest $500 to be compounded as Compound Interest is $1,540,250 while Simple Interest is $50.
<u>Step-by-step explanation:</u>
Step 1:
Calculate simple interest in the first case. Given details are Principal (P) = $500, Rate (R) = 5% and Time (T) = 2 years
⇒ Simple Interest (SI) = PRT/100 = 500 × 5 × 2/100 = $50
Step 2:
Calculate compounded interest for the second case. Given details are Principal (P) = $500, Interest rate (r) = 3%, Number of times it is compounded (n) = 12, time (t) = 2 years
⇒ Compound Interest (CI) = [P (1 + r/n)^n × t] - P
⇒ CI = [500 (1 + 3/12)^12 × 3] - 500
⇒ CI = [500 (1 + 1/4)^36] - 500
⇒ CI = [500 (5/4)^36] - 500
⇒ CI = [500 × 3081.5] - 500 = 1540750 - 500
⇒ CI = $1,540,250
