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%.
The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Given :
- Lillian multiplies two numbers.
- A has five significant figures and two decimal places and B has six significant figures and four decimal places.
The following steps can be used in order to determine the total number of significant figures of C:
Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.
Step 2 - It is also given that C is equal to A times B.
Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Therefore, the correct option is C).
For more information, refer to the link given below:
brainly.com/question/11904364
Answer:
<u>w^2+9w+20</u>
Step-by-step explanation:
Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd
a = 5
b = w
c = w
d = 4
= 5w + 5 x 4 + ww + w x 4
= 5w + 5 x 4 + ww + 4w
Simplify 5w + 5 x 4 + ww + 4w:
<u>w^2 + 9w + 20</u>
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x
I believe you are expected to simplify. To do this all you do is group like terms (x, x², x³ etc.) and then simplify the coefficients.
13. 10z + 7z - 19z² - 5z² - 17z
first you can rearrange and group like terms (remember the bring the sign in front of each term with it). I would do it like this:
-19z² - 5z² +10z + 7z - 17z
Now simplify the coefficients:
-24z² + 0z
you can omit the 0z and your simplified answer is
-24z²
Main thing to remember here is that z and z² cannot be simplified together, nor can any variable that has an exponent because the exponent makes them differ.
