Please use " ^ " to indicate exponentiaton: <span>Use the equation
350 = (270)(1.05)^x.
Take the log of both sides:
log 350 = log 270 + x*log 1.05.
Subtr. log 270 from both sides:
log 350 - log 270 = x*log 1.05
log 350 - log 270
Sove for x: x = -------------------------
log 1.05
2.544- 2.431
Evaluate this using a calculator. x = ------------------
0.0212
x is then approx. 5.33, or 5 1/3 years.
</span>
Answer:
720cm³
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Multiply the numerator to get 3 x 6 is 18
Multiply the denominator to get √6 x √6 = 6
Divide 18 by 6 to get the answer is 3
Answer:
{x = 1/7
,y = 1
Step-by-step explanation:
Solve the following system:
{-5 y = -5 | (equation 1)
{7 x + 6 y = 7 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 6 y = 7 | (equation 1)
{0 x - 5 y = -5 | (equation 2)
Divide equation 2 by -5:
{7 x + 6 y = 7 | (equation 1)
{0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:
{7 x+0 y = 1 | (equation 1)
{0 x+y = 1 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 1/7 | (equation 1)
{0 x+y = 1 | (equation 2)
Collect results: Answer: {x = 1/7
,y = 1
Answer:
5.5
Step-by-step explanation:
So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.
So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.
- Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
- Now we have 11-5.5=?
- so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
- We need to find a number that satisfies the equation and answer
- so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
- 5.5 satisfies the equation, therefore is the answer