Step-by-step explanation:
Since 74 is an even number, we can factor a 2 out of the exponent of your problem, like this:
i74=(i2)37.
But, i2=-1, so your problem becomes:
-137.
This means, multiply -1 by itself 37 times, to get -1
(Remember, -1 raised to an odd power is always -1, so -137=-1.)
The final answer is:
i74=-1
Answer:
Step-by-step explanation:
40,000= x (1+ .04)^12
the future value of the account =40,000
the amount invested at the end of each period =x because we do not know
the interest rate per period = 0.04 because 8% compounded semiannually is 4% per 6 months or written as decimals 0.04
(1+.04) because you gain interest so you add to the 100% of your money 4%
the number of periods = 12 because in 6 years we have twelve 6 months periods
x= $24,983.88
Answer:
-3 78⁄109
Step-by-step explanation:
i out smarted my calculator but I may be wrong also, just to let you know so you are aware
According to PEMDAS,
*Parenthesis
*Exponents
*Multiplication
*Division
*Addition
*Subtraction
You do them left to right.
18 * 9 = 162.
162 / 6 = 27
175 - 27 = 148
Hope this helps! ☺♥
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm