Answer:
x = 60
Step-by-step explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.
Answer:
(-∞, -5/2) ∪ (1, ∞)
Step-by-step explanation:
"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.
It is increasing again from the local minimum on the right to the right side of the graph.
The two sections where the graph is increasing are ...
(-∞, -5/2) ∪ (1, ∞)
__
The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.
Answer:
Teacher is 27 years old
Step-by-step explanation:
(1/2)(t - 3) = (1/3)(t + 9)
multiply by 6 to clear the fraction
3(t - 3) = 2(t + 9)
Distribute
3t - 9 = 2t + 18
Subtract 2t from both sides
t - 9 = 18
Add 9 to both sides
t = 27
Teacher is 27 years old
1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft
No this cannot make a second triangle
2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m
No this cannot make a second triangle
3) Both of the triangles cannot make a second triangle
<h3>How does law of sine work</h3>
The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."
The formula for law of sine is written as
Sine A a = Sine B/ b = Sine C / c
These law helps in determining the given angles and sides
For the situation given; both cannot be used to make a second triangle
Learn more about conditions Infinite number of triangles at:
brainly.com/question/29637739
#SPJ1
Answer: Hence, Mean height of the girls is: 1.48
Step-by-step explanation: It is given that:
in a class of 32 students .
the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.
Since there are 14 boys in a class.
So, number of girls is equal to (32-14)=18.
The mean height of 14 boys is 1.56.
Hence the sum of height of 14 boys is= 1.56×14=21.84
Similarly mean height of 32 students is 1.515.
Hence, sum of height of 32 students=1.515×32=48.48.
Let x denote the mean height of 18 girls.
Hence, sum of height of 18 girls is: 18 x.
Now,
18x+21.84=48.48
( since sum of height of girls and boys is equal to the sum of height of all the students)
so, 18x=48.48-21.84
18 x=26.64
Hence, x=1.48
Hence, Mean height of the girls is: 1.48
