The idea is to use the tangent line to
at
in order to approximate
.
We have


so the linear approximation to
is

Hence
and
.
Then

The 3rd one. (where the round part of the graph is at 0, 0) because that is where the y axis meets
Answer: $358.8 to the nearest tenth
Step-by-step explanation:
Compound interest is calculated by Where: A = P(1 + r)t
Where P= 300, r= 12% = 0.12, t= 1.5 years
Slot in the figures
300 (1 + 0.12) 1.5
300 (1.12) 1.5
300x 1.12
336e1.12
A = $ 358.84
Assuming John does not get premium pay for hours over 40, his pay will be ...
... 43 hours × $9.00 = $387
... - 6.2% × $387 = $23.99
... - 1.45% × $387 = $5.61
... - $15.00
... - 5% × $387 = $19.35
... - 10% × ($387 -19.35) = $36.77
... = $286.28 . . . . net pay after all the deductions
Answer: (A) 6.6 sec (B) 6.89 sec
<u>Step-by-step explanation:</u>
y = -16t² + 1700
1000 = -16t² + 1700
<u>-1700</u> <u> -1700 </u>
-700 = -16t²
<u> ÷-16 </u> <u>÷-16 </u>
43.75 = t²
√43.75 = √t²
6.6 = t
***********************************
y = -16t² + 1700
940 = -16t² + 1700
<u>-1700</u> <u> -1700 </u>
-760 = -16t²
<u> ÷-16 </u> <u>÷-16 </u>
47.5 = t²
√47.5 = √t²
6.89 = t