Answer:
He must invest R297 521 today.
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Banabas must pay his ex-wife an amount of R350 000 in two years’ time.
This means that 
Interest rate of 8.15% per annum compounded monthly:
This means that 
.
Amount he must invest today:
This is P. So
He must invest R297 521 today.
Answer:
Step-by-step explanation:
7. 1250 - 1050 = 200 remaining. so $ 200 split evenly between savings and entertainment.....means each gets $ 100.
what percent of her monthly budget will go towards savings ?
100 / 1250 = 0.08 = 8% <==
==================
luke spent 300 of his 375...
what percent did he not use...
(375 - 300) / 375 = 75/375 = 0.2 = 20% was not used <==
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.
for part two, i don't know how to show the work, but 816 is 96% of 850.
sorry about that, but i hope it helps
-2 to the 4th power would -2*-2*-2*-2 4*-2*-2 -8*-2=16 so yes Tim is correct
