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:
a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)
b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)
Step-by-step explanation:
2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.
9 * 10^-4 = 9 * 1/10000 = 9/10000
To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.
So we do:
2.2/1000 * 10/10 = 22/10000
9/10000 + 22/10000 = 31/10000 = 0.0031.
The sum of the weights of the two in insects is 0.0031 grams.
To find how much heavier the fly is than the gnat we do:
22/10000 - 9/10000 = 13/10000 = 0.0013
The fly is 0.0013 grams heavier than the gnat.
Answer: f(-2) = 8
Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.
Answer:
3/5 * 2/4 = 3/5 * 1/2 = 3/10 = 0.3 = 30%
When raised to the third power, it is the number times itself three times.
-2(-2) = 4
4(-2) = -8
