-3 im am sure its correct
2=log(3x+4)
y = loga b a^y = b
since this is base 10
10^2 =3x+4
100 = 3x+4
subtract 4 from each side
96 =3x
divide by 3
32=x
I didn't draw a diagram, but this is simple multiplication. 178 x 4 = 712. The boat traveled 712 miles in 4 weeks. (I'm not good with expanded form, but that's the total miles. Get a few more answers that may suggest a good expanded form.)
Answer:
x - 2y = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y = 6 ( subtract x from both sides )
- 2y = - x + 6 ( divide both sides by - 2 )
y = x - 3 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 6, - 8) into the partial equation
- 8 = - 3 + c ⇒ c = - 8 + 3 = - 5
y = x - 5 ← in slope- intercept form
Multiply through by 2
2y = x - 10 ( subtract 2y from both sides )
0 = x - 2y - 10 ( add 10 to both sides )
10 = x - 2y, that is
x - 2y = 10 ← in standard form
Five different problems in one post? That's a turn-off for some potential helpers. Suggest you post only ONE problem at a time.
In regard to the first problem: Your Principal (P) is $8000. The Interest Rate (i) is 19%. The elapsed time is 7 years. Using the formula for continuous compounding:
A = P e^(rt), where "e" is the very common base with value approx. 2.718.
Here, the amount due is A = $8000 * e^(0.19 * 7). Can you evaluate this?