Answer:
7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations.
<u>Parenthesis</u>
<u>Exponents</u>
<u>Multiplication>Division (Depends on which comes first from left to right)</u>
<u>Addition>Subtraction (See Multiplication>Division)</u>
So First, lets solve the <u>Parenthesis</u>. -2/5=-.4
So now, our equation is -3/-.4
There is no exponents or multiplication, so lets just <u>Divide</u>.
-3/-.4=7.5
The solution is 7.5
Hope this helps!
Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,

Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,



ln(2) = 0.06t
t = 
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
Answer:
14
Step-by-step explanation:
f(x)=3x²+1
f(2) = 3 x 2² + 1 = 13
g(x) =1-x
g(2) = 1 - 2 = -1
(f-g)(2) f(2) - g(2) = 13 - (-1) = 14