The circumference should be 37.69911.
Answer:
Riley will earn interest of $1706.86 in 15 years. But when the same problem solved for interest compounded annually we get,
c)1663.90
The options does not match with answer
Step-by-step explanation:
Given
principal amount P = $ 1000
rate of interest r = 6.75 % = 6.75/100 =0.0675
time t = 15
compounded semi annually, hence
no. of times interest is compounded, n = 2
We know that the formula for deriving final amount (A) is
A = P![(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
Substituting the known values , we get
A = 1000 x ![(1 + \frac{0.0675}{2} )^{2 * 15}](https://tex.z-dn.net/?f=%281%20%2B%20%5Cfrac%7B0.0675%7D%7B2%7D%20%29%5E%7B2%20%2A%2015%7D)
= $2706.86
Hence the interest earned = A - P
= $2706.86 - $ 1000
= $1706.86
The answer is $1706.86
But when the same problem solved for interest compounded annually we get, n=1 and so
A = 1000 x ![(1 + 0.0675)^{15}](https://tex.z-dn.net/?f=%281%20%2B%200.0675%29%5E%7B15%7D)
= 2663.90
Hence interest earned = $2663.90 - $ 1000
= 1663.90
Answer:
It is a relation and a function.
Step-by-step explanation:
The expression:
is a relation because it connects x values of the Real number set with y values of the Real number set via this associated equation.
It is also a function,because this relation satisfies that for each x-value in the starting set called Domain (which in this case is as we said the Real number set), there is ONLY one value in the END set (called the Range) associated it.
It is 230,000 because the first 9 gets rounded up because the next number is above 5