<h3>Answer: 787.25 dollars</h3>
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Work Shown:
A = final amount after t years = 1000
P = initial deposit = unknown
r = interest rate in decimal form = 0.08
n = compounding frequency = 12
t = number of years = 3
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A = P*(1+r/n)^(n*t) is the compound interest formula
1000 = P*(1+0.08/12)^(12*3)
1000 = P*1.27023705162066
1.27023705162066P = 1000
P = 1000/1.27023705162066
P = 787.254629932364
P = 787.25 rounding to the nearest penny
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note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.
Answer: Seems like it would depend on your base. Can you pull the ladder away from the window and let it go and it drops back to the original position? I would prefer an extension ladder with a set off just below the frame so that I can reach both panes without the ladder blocking me. If the extension ladder won’t reach I would use the WFP (and might use that anyway).
Answer:
angle B is 38 degree
Step-by-step explanation:
In triangle ADC,
finding angle C
angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)
46 + angle C = 110
angle C = 110 - 46
angle C = 64 degree
In triangle ABC
finding angle B
angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)
78 + angle B + 64 = 180
142 + angle B = 180
angle B = 180 - 142
angle B = 38 degree
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11
Answer:
Step-by-step explanation:
22/7x4^2=50.28
3x3=9
50.28-9=41.28
