Answer: change over time
Explanation: it is decreasing in height therefore is decreasing in altitude
Answer:
$130.06
Step-by-step explanation:
Interest is calculated as shown;
I = A - P
A is the amount
P is the principal
Given
Principal = $316
Rate R = 9% = 0.09
Time t = 4yrs
Substiutte and get Amount A
A =P(1+r)^n
A = 316 (1+0.09)^4
A = 316(1.09)^4
A = 316(1.4116)
A = 446.06
Interest = 446.06 - 316
Interest = 130.06
Hence the interest is $130.06
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2

Expand the expression

Collect like terms

Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
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15 girls 12 boys 5x3=15 and 4x3=12 so 15 girls 12 boys
Given:
The point (9,-12) is on terminal side of angle theta in standard position.
To find:
The exact value of each of the six trigonometric functions of theta.
Solution:
The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.
We know that,





Now,






Therefore, the values of six trigonometric functions of theta are
.