We are tasked to solve for the total number of hours given the exponential model P = 100e0.7t where P represents the calories.
P = 300
Solving for t, we have:
300 = 100e0.7t
300/100 =e0.7t
3=e0.7t
ln3 = 0.7 t
t = ln3 / 0.7
t = 1.57 hours
The answer is the letter "B" which is 1.6.
$ 6,650 was invested at 3.5%, and $ 5,950 at 4.5%.
Since a student takes out two loans to help pay for college expenses, and the total amount of money borrowed is $ 12600, and both loans have interest that accrues annually, and the first loan has an interest rate of 3.5%, and the second loan has an interest rate of 4.5%, and after the first year, the interest from both loans total $ 500.5, to find the initial amount borrowed at 3.5% the following calculation must be performed:
- 6300 x 0.035 + 6300 x 0.045 = 504
- 6600 x 0.035 + 6000 x 0.045 = 501
- 6700 x 0.035 + 5900 x 0.045 = 500
- 6650 x 0.035 + 5950 x 0.045 = 500.5
Therefore, $ 6,650 was invested at 3.5%, and $ 5,950 at 4.5%.
Learn more about interest in brainly.com/question/25831522
Answer:
The equation of tangent line is
Step-by-step explanation:
We need to find out the equation of tangent line.
Given :- g(6)=−3 and g'(6)= 5
If g(6)=−3
then the point on the line for the required tangent is (6,−3)
If g'(6)= 5
then the slope of the tangent at that point is 45
The tangent line can be specified by the slope-point form of the equation:
which in this case is
subtract both the sides by 3,
Therefore, the equation of tangent line is
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!
It’s false. Not sure if you have learned this yet, but it doesn’t follow one of the three properties of proportions. I hope this helps!