Answer:
$100 * (1 + 6.8%/12)^216 + $100*(1+6.8%/12)^215 + ... + $100*(1+6.8%/12)^1
Now note that
x + x^2 + x^3 + ... + x^N = x ( 1 + x + ... + x^(N-1) )
= x ( (x^N -1)/(x-1) )
Here, x = 1+6.8%1 = 1.00566666 and N = 216, so
$100 * ( 1.00566666 ( 1.00566666^216 -1) / 0.00566666 )
= $ 42398.33
The total interest earned is $42,398 - $21,600 = $20,798
Step-by-step explanation:
The generic formula used in this compound interest calculator is V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
Answer:
Step-by-step explanation:
Here, following formula will be used
(a+b)²= a²+b²+2ab
question
5(3a + b)² +6 (3a +b) - 8
=> we will take out 3 as common number to make the term (3a+b) to fit formula requirement
=> 5x3 (a+b/3)²+6(3a+b)-8
=> 15(a²+b²/9+2xaxb/3)+18a+6b-8
here, we have expanded the formula
=> 15a²+15b²/9+15x2ab/3+18a+6b-8
=> 15a²+5b²/3+10ab+18a+6b-8
Multiply pounds box can hold by percent full.
= 9 * 8/10
= (9*8)/10
= 72/10
= 7.2 pounds full
ANSWER: 7.2 pounds was in the box
Hope this helps! :)
The length of the radius rounded to 2 decimal points is 3.88cm.
In geometry, the area enclosed by a circle of radius r is pie π
.
How to round decimals?
Rounding decimals consists of rounding a decimal number to a certain number of decimal places, to save time and help us express really long numbers in shorter terms. There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.
The area of circle is 
.
Putting it in the formula we get
= π
= 47.39 / π
r^2 = 15.0847
r = 3.88 cm
Hence the length of the radius rounded to 2 decimal points is 3.88cm.
Learn more about circles here :
brainly.com/question/22275589
#SPJ4
The price after tax is £253.87 so to find the original price you have to deduct 6% but first you need to find 6%.
Easiest way to find 6% is by finding 10% or 2% or 1% / whatever you find easiest. For me it would be 1%
If you find 1 % you would then multiple it by 6 to give you 6%
10% is £25.38 (move the decimals 1 unit)
1% is £2.54 (move decimals 2 units)
Always round up
£2.54 X 6 = £15.24
£253.87 - £15.24 = £238.63
