Answer:
P(t) = 282.2(1.009)^t
Step-by-step explanation:
Look at the attached image.
Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009
For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1
When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12
So in order that the given equation has double roots, the possible values of b are ± 12.
Answer: 16
Step-by-step explanation: 80x20=1600
Put the decimal place where it belongs
80% of 20=16
Hope this helps!
Answer:
264 yd³
Step-by-step explanation:
The volume of a triangular pyramid can be found using the formula ...
V = 1/2LWH
where H is the height of the triangular base.
V = 1/2(8 yd)(11 yd)(6 yd)
V = 264 yd³ . . . . volume of the prism
2/3 * 2 = 4/6
4/6 + 1/6 = 5/6
1 - 5/6 = 1/6
750*6 = 4500
Hope this helps! :)
