Answer:
40%
Step-by-step explanation:
Let x = numerator
Let y = denominator
Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7
Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5
1.4 as a percentage = 1.4 x 100 = 140%
Therefore, the percentage increase is 140 - 100 = 40%
Answer:
3 years
Step-by-step explanation:
A=P( 1+rt)
A= Total amount
P= Principal
r = yearly interest
t= time in year
672=600(1+0.04t). Distribute
672=600+600x0.04t
72= 24t
t= 3 years
By taking <span>logarithmic of base 10
∴ </span><span>
∴ x log 4 = log 64
∴
note: we don't need to write the base in case of the base =10
∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
The rule for differentiation for variable with exponents has the formula:
d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent
Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = <em>4x
Thus, the derived equation of the given would now be 4x.</em>
Answer:
475 mph
Step-by-step explanation:
Distance = rate × time
time = distance / rate
If x is the speed of the plane in still air:
2100 / (x + 25) = 1890 / (x − 25)
Cross multiply:
2100 (x − 25) = 1890 (x + 25)
Distribute and solve:
2100x − 52500 = 1890x + 47250
210x = 99750
x = 475
