Answer:
<h3>50m</h3>
Step-by-step explanation:
Given the dimension
Length of the rectangle = 8cm
Width = 5cm
Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m
If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;
5 * 10 = 50m
Hence the width of the new stage will be 50 m
Answer:
y = 4sin [(1/2)t - (4/3)π ] - 2
Step-by-step explanation:
For this question, do not be intimidated by the terminology, just realize the following:
for y = a sin [ (2π/T) t ]
a = amplitude = given as 4
T = period = given as 4π
phase shift is simply horizontal shift, positive values means the graph moves by that amount to left and negative values means the graph moves to the right.
vertical shift ... is well a shift vertically. positive values move the graph up vertically and negative values move the graph down vertically.
so... if we start with the basic formula:
y = a sin [ (2π/T) t ]
given a = 4 and T = 4π (substitute these values into the formula)
y = (4) sin [ (2π/4π) t ] = (4) sin [ (1/2) t ]
y = 4sin [(1/2)t ]
Now for the shifts:
given phase shift, aka horizontal shift is -(4/3)π, equation becomes
y = 4sin [(1/2)t - (4/3)π ]
given vertical shift is -2, the equation simply becomes
y = 4sin [(1/2)t - (4/3)π ] - 2
Answer:
This is the right answer, I think.
The amount of money which you must invest today is equal to $68,517.85.
<h3>How to calculate the present value?</h3>
Mathematically, the present value of an investment can be calculated by using this formula:
Present Value, PV = FV/(1 + r)^t
<u>Given the following data:</u>
Time, t = 9 years.
Future value, FA = $190,000.
Interest rate, r = 12% = 0.12.
Substituting the given parameters into the formula, we have;
PV = 190,000/(1 + 0.12)^9
PV = 190,000/(1.12)^9
PV = 190,000/2.7730
PV = $68,517.85.
Read more on present value here: brainly.com/question/14811400
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