Answer:
−x^3+5x^2-2x−12
Step-by-step explanation:
Answer: it will take 36 years for the account balance to reach $1,200.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 70
A = 1200
r = 1.5% = 1.5/100 = 0.015
n = 1 because it was compounded once in a year.
Therefore,.
1200 = 700(1 + 0.015/1)^1 × t
1200/700 = (1.015)^t
1.714 = 1.015^t
Taking log of both sides,
Log 1.714 = log 1.015^t
0.234 = tlog 1.015 = t × 0.0065
t = 0.234/0.0065
t = 36 years
Answer:
One of the game operators has designed a new game. In this game, players pick one card out of an ordinary deck of 52 playing cards. An ace wins $10, a face card (K, Q, or J) wins $1, and all other cards win nothing.
Step-by-step explanation:
We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.
First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)
Next, The problem states that KK' and LL' are equal. (so that gives our S)
Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)
Hope this helped :D
Step-by-step explanation:
13.5 is the difference of the length of the roads