Answer:
- The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
- The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
Step-by-step explanation:
a) How much will you have at the middle of the first year?
Using the formula

where
Given:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
To determine:
Total amount = A = ?
Using the formula

substituting the values



$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Using the formula

where
Given:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
To determine:
Total amount = A = ?
so using the formula

so substituting the values


$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
Answer:
I think the answer would be -1/2 or D.
Step-by-step explanation:
Use this formula for calculating slope : y2-y1 / x2 - x1
1. label the pairs, 1 and 2
(-6, 1) - ( x1, y1 ) or (4,-4) - (x1, y1)
(4,-4) - ( x2, y2) (-6,1) - (x2, y2)
(the order does not matter)
2. Than plug in your numbers
y2-y1 / x2 -x1 y2-y1 / x2 -x1
-4 - 1 / 4 - (-6) or 1 - (-4) / -6 - 4
= -5/10 or -1/2 = - 5/-10 or -1/2
im only in eight grade so i did my best explaining , and this hope it helps :)
Answer:
182 days
Step-by-step explanation:
Given:
Date on which loan is made = March 12
Due date of the loan = September 10
Now,
The months in between March and September and the number of days in the particular months are
Month Number of days
April 30
May 31
June 30
July 31
August 31
------------------------------------------
Total number of days = 153
also,
Number of days left in March after 12 are (31 - 12 ) = 19 days
and,
Number of days in September before the due date = 10 days
Hence, the total time for loan = 19 + 153 + 10 = 182 days
since the included months does not have the month of February. Therefore,
the time for both leap year and non-leap year will remain same.
1a) A = 4πpw
/4πw = /4πw
A / 4πw = p
1b) A = 4πpw
22 = 4πp(2)
p = 11/4π (≈0.87)
2a) P = 2πr + 2x
P - 2x = 2πr
/2π /2π
P-2x / 2π = r
2b) P = 2πr + 2x
440 = 2πr + 2(110)
r = 110/π (≈35.014)