Answer:
$7,012.76
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.07/1)(1)(5)
A = 5,000.00(1 + 0.07)(5)
A = $7,012.76
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.
The value calculated by adding all the values of in a data set and dividing the sum by the number of values → Mean
The middle value when all the values are in order from least to greatest → Median
The value that appears most often in a data set → Mode
Hope this helped :)
Answer:
220
Step-by-step explanation:
plug it into surface area formula for rectangular prisms
A=2(wl+hl+hw)
If the triangles are similar then the angles in both are equal. Let's look at each set individually:
(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°
Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°
So in fact Triangle 1 and 2 are similar.
Now we can repeat this process for (2) - (5):
(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar
(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar
(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar
(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar
Therefor pairs (1), (2) and (5) are similar
Examine the information, verify the conjecture, make a new conjecture
