Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
Answer:
a) 
, where 
.
b) 
Step-by-step explanation:
The given sequence is
.
The first term of the sequence is
The second term is 
The common ratio for this sequence can be determined using any two consecutive terms in the sequence.
Using the first two terms, the common ratio is
a) The recursive rule is given by,
, where .
b) The explicit rule is given by 
Answer:
-4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x = hours worked on Saturday
Then x + 8 = total hours on Friday and Saturday
22 = x + 8
x = 13
Kendrick is working hours on Saturday.
Answer:
d
Step-by-step explanation:
598.60
You are given the equation
A(t) = P*e^(rt)
Where P = Principal
r = interest rate
t = time
e is a mathematical constant equivalent to approx 2.71828
You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6)
A(t) = P*e^(rt)
A(6) = 500 * e^(0.03 * 6)
A(6) = 500 * e^(0.18)
A(6) = 500 * 2.71828^(0.18)
A(6) = 500 * 1.19721
A(6) = 598.60861
So $500 invested 6 years ago at 3% would be worth $598.61 today.
