Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Answer:
The scientist’s conclusion is not appropriate because it is based on a subjective appreciation (“significantly greater than”).
<em>How “greater” is “significantly greater”?
</em>
A more objective and technical approach would be fixing a level of significance, let's say 0.05 or 0.01 for example, measuring the samples means and standard deviations and then proceeding with an appropriate hypothesis testing in order to see if the differences in means are really significant.
Step-by-step explanation:
Answer:
(x-18)²+(y+18)²=18².
Step-by-step explanation:
1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;
2) according to the formula above:
(x-18)²+(y+18)²=18².
An = a1 * r^(n-1)
n = term to find = 18
a1 = first term = 3
r = common ratio = 4/3
now we sub
a18 = 3 * 4/3^(18 - 1)
a18 = 3 * 4/3^17
a18 = 3 * 133
a18 = 399