Answer:
Step-by-step explanation:
Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...
0.06x +0.12(4x +249) = 988.92
0.54x + 29.88 = 988.92
0.54x = 959.04
x = 959.04/0.54 = 1776
4x+249 = 7353
__
Sherrie invested $1776 at 6% and $7353 at 12%.
I think you meant to say

(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
Answer:
N=9/2
Step-by-step explanation:
Question: <u>10=2N+1</u>
1) Subtract 1 from both sides:
9=2N
2) Divide both sides of the equation by 2:
N=9/2