$34.99 ... 2.5-pound bags
$x = ? ... 1 pound
If you would like to know what is the unit rate of the shrimp in dollars per pound, you can calculate this using the following steps:
34.99 * 1 = x * 2.5
34.99 = x * 2.5 /2.5
x = 34.99 / 2.5
x = $13.996 = $14
The correct result would be $14.
Answer: the area is 20 square centimeters.
Step-by-step explanation:
The area of an arc of angle x in a circle of radius r is:
A = (x/3.14)*3.14*r^2 = x*r^2
here we have x = (4/5)*3.14 and r = 5cm
Then the area is:
A = (4/5)*(5cm)^2 = 20cm^2
Answer:
Step-by-step explanation:
The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...
(31/38)^(t/35) = e^(-kt)
Taking the natural log, we find ...
(t/35)ln(31/38) = -kt
k = ln(38/31)/35 ≈ 0.00581711
To the nearest thousandth, this is ...
k ≈ 0.006
Using this in the equation for temperature, we have ...
T = 72 -38e^(-0.006t)
Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about
T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49
T ≈ 48 °F
The value of k is about 0.006, and the turkey temperature is about 48 °F.
Answer:
To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
Step-by-step explanation:
Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:
X x 0.015 = 100
X = 100 / 0.015
X = 6,666.66
6,666.66 x 1.015 = 6,766.66
Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
The answer is C (3rd answer choice) O {-8,8}.
