Answer:
The value of the painting in 6 years is $1904.25
Step-by-step explanation:
y = a(1 + r)
t
= 1200(1.08)t
Write the formula.
Substitute 1200 for a and 0.08 for r.
Simplify.
= 1200(1 + 0.08)
t
Step 2 Find the value in 6 years.
y = 1200(1.08)t
= 1200(1.08)6
≈ 1,904.25
Substitute 6 for t.
Use a calculator and round to the
nearest hundred
Generally speaking... yes! It is possible. It would just have to be less than 90 degrees to be considered acute.
That wouldn't be very comfortable for the horse.
Answer:
D)
Step-by-step explanation:
∠1 + ∠2 = 180 {linear pair}
x - 29 + x + 61 = 180 {add the like terms}
2x + 32 = 180 {subtract 32 from both sides}
2x + 32 - 32 = 180 - 32
2x = 148
x = 148/2
x = 74
∠1 = x - 29 = 74 - 29 = 45
∠2 = x + 61 = 74 + 61 = 135
Answer:
3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Showing Work
Using the given inputs:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
Rewriting these inputs as decimals:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0
Sorting this table by decimal values in order from least to greatest:
-23 -22 3/8 -31/3 -7.7 -7 -6 -3 -8/3 -2.5 -1 -1/4 0 9/8 2 3 5 8 10 11 15 22 23
-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Therefore, the sorted inputs in order from least to greatest is:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
