Answer:
#10: 5/36
#11: 5/6
Step-by-step explanation:
#10:
The following combinations will get you 6.
1 - 5
2 - 4
3 - 3
4 - 2
5 - 1
These are only 5 of the 36 possible combinations, so you have 5/36 of a chance to get a combo of equal 6.
#11:
Like with #10, list the possible combinations that will get you 7.
1 - 6
2 - 5
3 - 4
4 - 3
5 - 2
6 - 1
That's only six combinations, but we're not including those. Subtract 6 from 36 to get 30. 30/36 simplifies to 5/6 (GCF of 30 & 36 is 6), so that is the answer to #11.
Easy just multiply 4 and 15 bc a playing field has 4 sides and u get 60
Answer:
4.346%
Step-by-step explanation:
The points and origination fee are assumed to be capitalized, so the loan payment amount is based on the total of the original loan amount and those fees. The APR is calculated as the rate that would be charged on the original loan value to produce that payment.
<h3>Loaned amount</h3>
The loaned amount is the sum of the original loan value and the added points.
P = $513,000×(1 +1.4% +0.65%) = $523,516.50
<h3>Payment</h3>
The monthly payment on this amount is given by the amortization formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where r=0.04175, the annual interest rate, t=30, the period in years
A = $523,516.50(0.04175/12)/(1 -(1 +0.04175/12)^-360)) ≈ $2552.45
<h3>APR</h3>
There is no formula for calculating the APR. It must be developed iteratively or graphically. The attached calculator images show a couple of different ways the value can be found.
The payment of $2552.45 on a loan value of $513,000 represents an APR of 4.346%.
SOLUTION
Amanda is saving to buy a new bike that costs $300.
Each week she saves $12.
Which of the following could be used to determine how many weeks (w) it will take for her to save enoight money for the bike?