Answer:
first get their difference and then get positions of the difference and get the factors and then you will get the nth term
Answer:
5.5%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>t = time (years)</em>
<em />
The first step is to find the interest gained from the investment.
Next, plug in the values into the equation:
Multiply the bottom values
Divide the values
The last step is to convert 0.055 into a percent:
The interest rate is 5.5%
Answer:
B) a = 6.7, B = 36°, C = 49°
Step-by-step explanation:
Fill in the numbers in the Law of Cosines formula to find the value of "a".
a² = b² + c² -2bc·cos(A)
a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862
a ≈ √44.4862 ≈ 6.66980
Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°
The third angle is ...
B = 180° -A -C = 180° -95° -48.31° = 36.69°
The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.
Answer:
The total money made by Grace is $477.
Step-by-step explanation:
Given:
Charge per hour for mowing lawn = $6
Charge per hour for pulling weeds = $11
Number of hours for which lawns are mowed = 63 hours
Number of hours for which weeds are pulled = 9 hours
Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.
Total money gained in mowing lawns is given as:
Total money gained in pulling weeds is given as:
Now, total money made =
Therefore, the total money made by Grace is $477.
Answer:
Step-by-step explanation:
Considering the expression
Simplifying the expression
As
and
So,
Therefore,
Keywords: algebraic expression
, simplification
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