Answer:
Explanation:
This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.
The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.
Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.
Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:
<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:
, where t is the number of weeks since Tobias initially sent the chain letter.
Answer:
After 200 students, it would better to hire Band A
Step-by-step explanation:
350+ 1.25x = 600
1.25x = 250
x = 200
at 200 students the cost is the same for Band A and Band B
at 201 students Band A will be cheaper then Band B
3000 = p( 1 + .06/2)^(4 * 2)
<span>3000 = p(1.03)⁸ </span>
<span>p = 3000/ 1.03⁸ </span>
<span>p = 2368.2277029 </span>
<span>$2368.23 <-----</span>
Answer:
E. -8/3
F. 8/3
Step-by-step explanation:
9x^2-64=0
Add 64 to each side
9x^2-64+64 = 0+64
9x^2 =64
Divide each side by 9
9x^2/9 = 64/9
x^2 = 64/9
Take the square root of each side
sqrt(x^2) = ±sqrt(64/9)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
x = ±sqrt(64)/sqrt(9)
x = ± 8/3
Answer:
1/x+5
Step-by-step explanation:
1. Rewrite 3x as a difference
x-2/x^2 + 5x-2 - 10
2. Factor out x from the equation, then factor out -2.
x-2/ x+(x+5) - 2(x+5)
3. Factor out x+5 from the expression
x-2/ (x+5)(x-2)
4. Reduce the fraction with x-2
x-2 / (x+5) x-2
1/x+5
