Answer: The interest is: $150.00
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $6000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:
The interest is: $150.00
D and E because they are both colder than -10
Answer:
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Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
, 
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters
Answer:
<u>The answer for this equation is x = 7</u>
Step-by-step explanation:
1. Solve for x given that CE=36
9 + 3x + 6 = 36
3x + 15 = 36
3x = 36 - 15 (Putting x on the left side and all the numeric values on the right)
3x = 21
<u>x = 7 (Dividing by 3 at both sides)</u>
2. Proof of replacing x by 7
9 + 3 (7) + 6 = 36
9 + 21 + 6 = 36
<u>36 = 36</u>
<u>It proves that x = 7 is correct</u>
