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.
Step-by-step explanation:
This can be rewritten as
If we will solve this way,
But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.
From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.
If the exponent has a positive value, move TO THE RIGHT.
For example,
Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.
Answer:
-4.3
Step-by-step explanation:
Add 4 to both sides and x = -4.3
Answer:
The new equation is
Step-by-step explanation:
Given : Function were shifted 7 units to the right and 3 down.
To find : What would the new equation be?
Solution :
Shifting to the right with 'a' unit is
f(x)→f(x-a)
So, shifting g(x) 7 units to the right is
Shifting to the down with 'b' unit is
f(x)→f(x)-b
So, shifting g(x) 3 units down is
The new equation is
Answer: The number of miles Paul ran is 2 miles.
Step-by-step explanation:
Let the number of miles Paul ran be x
Since we have given that
Number of miles ran by Yurika = 7 miles
According to question, Yurika ran 3 more than twice as many miles as Paul did yesterday.
So, it becomes,
Hence, the number of miles Paul ran is 2 miles.