Answer:
$1,161.83
1.51%
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount,
P is the initial amount,
r is the rate per time,
and t is time.
Given P = 1000, r = 0.015, and t = 10:
A = 1000e^(0.015 × 10)
A = 1000e^(0.15)
A = 1161.83
The effective annual yield is the annually compounded rate needed to have the same yield after the same time. For continuously compounded interest, he equation for effective annual yield is:
R = -1 + e^r
R = -1 + e^0.015
R = 0.0151
The effective annual yield is 1.51%.
Answer:
Step-by-step explanation:
Let the point P is at the origin (0, 0).
Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.
Rule for the dilation of a point by a scale factor = k
(x, y) → (kx, ky)
If k = 
Then, A(8, 4) → A'(4, 2)
B(-2, 2) → B'(-1, 1)
C(4, -4) → C'(2, -2)
Now we can plot the new image with points A', B' and C'
The attached diagram represents the tree diagram for three consecutive mornings.
<h3>How to draw the tree diagram?</h3>
The probability of arriving on time is given as:
P(On Time) = 65%
Assume that the bus would definitely show up.
Then it means that the event is a binomial event and the possible outcomes are:
On Time and Late
The above means that the number of possible outcomes is 2.
For three consecutive mornings, the total outcome is:
Total = 2³
Evaluate
Total = 8
This means that the tree diagram would have 8 outcomes
Next, we draw the tree diagram (see attachment)
Read more about tree diagrams at:
brainly.com/question/9178814
#SPJ1
we have

The solution is the shaded area above the dotted line
therefore
The answer in the attached figure
Answer:
a. 4
b. 132
Step-by-step explanation:
Plugg in the equation in desmos graphing calculator and the find the vertex to find the answer.
(Are you doing this in pearson?)