Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Answer:
After 10 years, she will has $96 in her bank.
Step-by-step explanation:
It is given that Andrea's saving account is $80 and earns 2% interest per year as a <em>S</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em>(Not Compounded). Using simple interest formula, Interest = (P×R×T)/100 where <em>P</em> is the <em>principal</em>, <em>R</em> is the <em>interest rate</em> and <em>T</em> is <em>number of years</em><em> </em>:

P = $80
R = 2%
T = 10 years



It is given that the interest amount is $16. So the total amount she has after 10 years in the bank is $96 :
interest amount = $16
principal = $80
total = $16 + $80
= $96
Answer:
Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.
Step-by-step explanation:
Have a nice day!

=

Multiply both sides by 15
6 =

Multiply both sides by c
6c = 30 Divide both sides by 6
c = 5
If the polygons are similar then the sides are in proportion.

Therefore we have the equations:

