M= 1/2x+6
N= 1/2x-3
They both have the same slope.
9514 1404 393
Answer:
11
Step-by-step explanation:
The future value of the account is given by the formula ...
A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years
Solving for t, we find ...
A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P
log(A/P) = 12t·log(1 +r/12) . . . . . . take logs
Divide by the coefficient of t, then fill in the numbers.
t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))
t ≈ 11.497
It will take about 11 years for the account balance to reach the desired amount.
Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: ...the exponents were multiplied.
Using power rule.
We have,
⇒
⇒ ...taking exponents individually.
⇒ ...
⇒
So our final values are 32p^-15
To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.
188869/98 = 1927.2
The new diameter is approximately 1927 times longer.
To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.
Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.
1.927 x 10^3 times is the answer in scientific notation.
Answer:
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