ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

Now we apply the property of the logarithm of a power,

In our equation,

Then divide both sides by 4 and solve,

The solution to this equation is x = 1.2226, rounded to four decimal places.
Answer:
984 adults
281 teens
492 children
Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.
{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}
≈ {984, 281, 492}
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
Answer:
it would still be the same length due to the fact that it did not change lengths.
Step-by-step explanation:
Answer:
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation . Example 1: If y varies directly as x and y = 15 when x = 24 , find x when y = 25 .
Step-by-step explanation:
Hope this helps, mark brainliest