4.5
pi is about 3.14 and root 23 is about 4.8 - the only number between these values is 4.5
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
9514 1404 393
Answer:
97
Step-by-step explanation:
We want to find x when C = 23.
23 = 0.005x^2 -0.35x +10
2600 = x^2 -70x . . . . . . subtract 10, multiply by 200
2600 +35^2 = (x -35)^2 . . . . complete the square
61.847 +35 = x . . . . . . . square root, add 35 (use the positive result only)
x ≈ 97 . . . . rounded to integer
The cost is $23 when 97 coolers are produced.
The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486
<h3>
Compound interest</h3>
Compound interest is given by:
where t is the period, r is the rate, P is the initial amount, A is the final amount and n is the times compounded.
Given P = 2950, r = 0.084, n = 4, t = 2, hence:
The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486
Find out more on Compound interest at: brainly.com/question/24924853
D cause if u graph it each point it moved up but on the x axis it stays the same which makes it narrower
