Answer:
Simplified: 40
Step-by-step explanation:
To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says:
We can do this same thing to simplify this expression. Next, we can simplify each of these terms.
simply becomes 4. In the other term, the
simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40

Answer:
34191.7πin³/sec
Step-by-step explanation:
Volume of circular come = 1/3pi x r² x h
When we differentiate this formula we have
dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]
We have the following information
r = 138
H = 143 inch
dr/dt = 1.4
dh/dt = -2.8
When we plug into the formula
1/3π[130² x -2.8 + 2x138x143x1.4]
= 34191.7πin³/sec
Answer:
Integer and Rational Number
Step-by-step explanation:
Natural numbers are positive numbers starting at 1 and going onward. Since -8.0 is not a positive number, it is not a natural number.
Whole numbers are natural numbers and 0 altogether. -8 is not greater than zero or positive, so it is not a whole number.
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.
A) Interest = principal * rate * time
I = (800)(0.05)(3) = $120
b) $800 + $120 = $920 after the three years. $920 * (1 - 0.02) = $901.60.