Answer:
7
Step-by-step explanation:
7 is approximate to
because 7 is
, and 49 is close to 47
Answer:
x=-5, y=-2. (-5, -2).
Step-by-step explanation:
x-3y=1
-x+6y=-7
----------------
3y=-6
y=-6/3
y=-2
x-3(-2)=1
x+6=1
x=1-6
x=-5
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
The recursive geometric sequence that models this situation is:


<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
It can be represented by a recursive sequence as follows:

With f(1) as the first term.
In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:


Hence:


More can be learned about geometric sequences at brainly.com/question/11847927
The angles opposite equal sides are also equal. The sum of angles in a triangle is 180. So 2x + 27 + 2x + 27 + 3x + 28 = 180.
7x + 82 = 180
7x = 98
x = 14
Now plug x into each angle to find their measures.