Answer:
Step-by-step explanation:
The formula for continuously compounded is:
where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
- 1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015
Now we know all the values and can substitute them into the formula.
Solve the multiplication in the exponent first.
Solve the exponent.
Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.
The account balance will be <u>$9,534.37</u> after 16 years.
Answer:
I think the answer is no
Step-by-step explanation:
If an item has been discounted 30%, then it is currently worth 70% of the original price. This tells us that $49 is 70% of the original price. Therefore, you need to divide $49 by 70% to get your answer (you have to work backwards; remember that you would have multiplied the original number by 0.7 to get 49):
49÷(70/100)= $70
Therefore, the price of the original product was $70
Answer:
x=2
Step-by-step explanation:
5 ( x - 2) + 4 ( 3 + x) = 20
Distribute
5x -10 +12 +4x = 20
Combine like terms
9x +2 = 20
Subtract 2 from each side
9x+2-2 = 20-2
9x = 18
Divide each side by 9
9x/9 = 18/9
x = 2
The mean of 10 randomly selected students is definitely more likely to be closer to 75. 10 randomly selected students to include information and are more like to reflect the class’s scores. Consider an extreme example. Seventy-five students in a class of 100 earned perfect scores. The other 25 earned zeros. The average score of the class would be 75. A sample of 10 random students would almost certainly include more 100s then 0s, but both would be included in the sample. The mean of this samples score is closer to 75 than any individuals.
