Answer:
x =4
Step-by-step explanation:
2 ln x = 4 ln 2
Divide each side by 2
2/2 In x = 4/2 In 2
ln x = 2 ln 2
Remember that a ln b = ln b^a
ln x = ln 2^2
ln x = ln 4
We are taking the natural log on both sides so , what we are taking the natural log of must be the same
x =4
Answer:
4
Step-by-step explanation:
Use the property of logarithms . (The number in front of ln becomes an exponent--or vice versa!)
Using that property on both sides, you get
But that means
Notice that is not a solution because is undefined. Negative numbers do not have logarithms. The domain of is the set of positive numbers.
The mean of the numbers 11,-7,-14,10,-5 is found by adding all the numbers together, and then dividing by the number of numbers. In this case, the mean is -1.
To find the mean of the numbers 11,-7,-14,10,-5, you'll want to add all of these numbers together then divide by the amount of numbers there are. This is because the mean is the average value of a set of numbers.
First, add up all your numbers: 11 + -7 + -14 + 10 + -5, which totals to -5. There are 5 numbers in the set, so to find the mean, you then divide -5 by 5, which equals -1. So, the mean of the set of numbers 11, -7, -14, 10, -5 is -1.
#SPJ2
Answer:
-- The slope of the line is [ -a/b ] .
-- The line intersects the x-axis at [ x = c/a ] .
-- The line intersects the y-axis at [ y = c/b ] .
Step-by-step explanation:
Answer:
$5,591.46
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 2.5% into a decimal:
2.5% -> -> 0.025
Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:
The amount in the account after 4.5 years is $5,591.46
To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.
The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.
The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:
Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.
#SPJ11
Answer:
48π square units
Step-by-step explanation:
The lateral surface area of a cylinder is = 2 π r h.
Where h = 6, r = 4 (from the figure)
Then the lateral surface area is: 2*6*4*π = 48π square units