A rock is thrown straight upward from the top of a 40-ft building. Its height in feet after t seconds is given by the polynomial − 16 t 2 + 12 t + 40 . a. Calculate the height of the rock after 1 sec. ( t = 1 ) b. Write − 16 t 2 + 12 t + 40 in factored form. Then evaluate the factored form of the polynomial for t = 1 . Is the result the same as from part (a)?
A rock is thrown straight upward from the top of a 40-ft building. Its height in feet after t seconds is given by the polynomial − 16 t 2 + 12 t + 40 . a. Calculate the height of the rock after 1 sec. ( t = 1 ) b. Write − 16 t 2 + 12 t + 40 in factored form. Then evaluate the factored form of the polynomial for t = 1 . Is the result the same as from part (a)?
Solution Summary: The author calculates the height of rock after 1 second if the polynomial is -16t2+12t+40.
A rock is thrown straight upward from the top of a 40-ft building. Its height in feet after t seconds is given by the polynomial
−
16
t
2
+
12
t
+
40
.
a. Calculate the height of the rock after 1 sec.
(
t
=
1
)
b. Write
−
16
t
2
+
12
t
+
40
in factored form. Then evaluate the factored form of the polynomial for
t
=
1
. Is the result the same as from part (a)?
(z-
= (-2) (→
Use the FOIL Method to find (z —
· -
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.