Answer:
$29,900
Growth
22%
Step-by-step explanation:
Initial value is when t = 0
v(0) = 29900(1.22)^0
v(0) = 29900(1)
v(0) = 29900
-------------------------
Growth
because 1.22 is greater than 1
----------------------------
Yearly value change
1.22 - 1 = 0.22
0.22 * 100 = 22
22%
Answer:
-7-√15
Step-by-step explanation:
First move the constant to the right hand side and change it's sign
x^2+14x=-34
Then add (14/2)^2 or 7^2 to both sides
x^2+14x+49=-34+49
Then factor the expression
(x+7)^2=-34+49
Then solve (x+7)^2=15
You should get:
x=-√15-7
or
x=√15-7
Answer: Choice B) 35.3 degrees
======================================================
Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:
Thus, we have:
Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that
Recursive
formula is one way of solving an arithmetic sequence. It contains the initial
term of a sequence and the implementing rule that serve as a pattern in finding
the next terms. In the
problem given, the 6th term is provided, therefore we can solve for the initial
term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after
deducting 50 (which supposedly is added).
<span>
Therefore, we perform the given formula: A (n) = <span>1.025(an-1) +
50
</span></span>a(5) =1.025 (235.62) + 50 = 291.51
a(4) = 1.025 (181.09) + 50 = 235.62
a(3) = 1.025 (127.89) + 50 = 181.09
a(2) = 1.025 (75.99) + 50 = 127.89
a(1) = 1.025 (25.36) + 50 = 75.99
a(n) = 25.36
The terms before a(6) are indicated above, since a(6) is already given.
So, the correct answer is <span>
A. $25.36, $75.99.</span>
