The worth after 10 years if it were invested at 4% interest compounded continuously is $ 895.094
<h3><u>Solution:</u></h3>
Given that $ 600 invested at 4 % interest compounded continously for 10 years
To find: total amount after 10 years
<em><u>The compound interest formula for compounded continously is given as:</u></em>

Where "p" is the principal
"r" is the rate of interest
"t" is the number of years
Here in this problem, p = 600

t = 10 years
Substituting the values in formula we get,

Thus the worth after 10 years is $ 895.094
Answer:
x = -7 1/2
y = - 5/2
z = 11
Step-by-step explanation:
x— 3y+z= 6 (1)
2x — бу – 2 = -2 (2) <=> 2x - 6y = -2 + 2 = 0 <=> (2x - 6y)/2 = 0 <=> x - 3y = 0 (4)
—x+y+ 2 = 7 (3) <=> -x + y = 7 - 2 <=> x - y = -5 (5)
Subtract (5) from (4), we have:
(x - 3y) - (x - y ) = 0 - (-5)
<=> x - 3y - x + y = 5
<=> -2y = 5
<=> y = - 5/2
Replace y with (4), we have x = 3 × (-5/2) = -15/2 (or -7 1/2)
Replace x with -15/2 and y with -5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11
Answer:
24 days
Step-by-step explanation:
120 students =30 days
120+30 =150 students
MORE/LESS METHOD
120 students (a) : 30 days(y)
150 students (b) : x
Find the value of x using the formula: a/b × y
If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.
I predict that x will be less than y
THEREFORE... 120/150 ×30
= 24 days
Answer:
C. Both have the same y- intercept
Step-by-step explanation:
Answer:
Midpoint of the circle is (-3, -7)
Distance from (3, 4) to (-3, -7) is > 5 because the x and y difference are alone greater 5.
So, "In the exterior of the circle" is correct.