If a is directly proportional to b, we have the relationship to be:
When a = 25, b = 35. Therefore, we can calculate the value of k as follows:
Therefore, the relationship is given to be:
When a = 40, we can calculate the value of b to be:
The value of b is 56.
Answer:
25 cm
Step-by-step explanation:
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
