A
given that y varies directly as x, then the relationship is
y = kx ← k is the constant of variation
To find k use the given condition x = 3 when y = 24
y = kx ⇒ k =
=
= 8
y = 8x
We want to determine t from the equation
400e^(0.06t) = 500
Divide each side by 400.
e^(0.06t) = 1.25
Take natural log of each side.
0.06t = ln(1.25) = 0.2231
t = 3.719 yrs
Answer: 4 years (nearest whole number)
Answer:
C
Step-by-step explanation:
If you add 1,000 to a number 10 times, it will only increase the number by 10,000, not multiply the number by 1,000.
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)
Try using A=1/2bh
50 is the height in this but the base is confusing me, unless its 97 yards too, unlikely.