Answer:
It will take 36.2 years.
Step-by-step explanation:
The principal amount is $700. This principal amount earns 1.5% interest that is compounded annually.
Therefore, from the formula of compound interest, we can write
, where S is the maturity sum and P is the principal invested and r% is the interest which is compounded annually and t is the number of years.
So, in our case, the equation will be
............ (1) (Answer)
Now, if the maturity sum, S = $1200, then,
⇒
Now, taking log both sides,
t(log 1.015) = log 1.714
⇒ t = 36.2 years.
-31F because of the formula.
-35°C multiplied by 9/5 +32 = -31°F
~JZ
Hope it helps
70) perpendicular means you take the number in from of the x and flip it and switch the sign. that number will become your slope (m).
y=mx+b. plug in slope and point
-5=(7/9)(-4)+b. multiply
-5=(-28/9)+b. add over -28/9
b= -17/9. plug b and slope into original equation
y=(7/9)x+(-17/9) get rid of frac by multi by 9
(y=(7/9)x+(-17/9))*9
9y=7x+-17. subtract over 7x
-7x+9y=-17. answer
Same goes for the rest. number 72 the perp slope will be (1/3) and for 74 the answer will be x=-5 (that is a weird case)
Substitute the value of y given by the second equation into the first.
.. 3x -5(-7) = 17
.. 3x +35 = 17
.. 3x = -18
.. x = -6
The solution is (x, y) = (-6, -7).