Answer: 2.5%
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 10/100= 0.1)
n= number of compounding periods in each year (365)
Replacing with the values given
A=250(1+0.1/1)^t/1
A=250(1.1)^t
For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )
Interest rate 0.1 /4 = 0.025= 2.5%
Question:
A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.
If there is more than one element in the set, separate them with commas.
Answer:


Step-by-step explanation:
Given
A roll of a 6 sided number cube
Solving (a): The sample space
This implies that we list out all number on the number cube.
So:

Solving (b): Outcomes greater than 2
This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.
So:

Answer:
They are.
Step-by-step explanation: The postulate is that all the adjacent angles and side lengths are equal between the triangle pairs. Congruency is if all side lengths and angles measure the same amount. In this case, the lines signify that they do.
Answer:
No
Step-by-step explanation:
-18-7 is not equal to -6(3x-8) beacuse
-6(3x-8)= -18x+42
its obivous that the two values are not same
Here's our equation.

We want to find out when it returns to ground level (h = 0)
To find this out, we can plug in 0 and solve for t.


So the ball will return to the ground at the positive value of

seconds.
What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!
