Answer:
Compound interest =$14.58
Simple Interest=$14.79
Step-by-step explanation:
Let's assume the interest rate charged on the loan was simple in nature.
-Simple interest is calculated using the formula:
Hence, the simple interest on the loan was $14.79
#If the interest is compound in nature with just one compounding per year:
Hence, the compound interest charged on the loan is $14.58
The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac
If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
Did Yu Ever Find The Answer I got the same question??
Answer:
5x - 4y = 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 4y = 36 ( subtract 5x from both sides )
- 4y = - 5x + 36 ( divide all terms by - 4 )
y = 
x - 9 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = x - 8 ← in slope- intercept form
Multiply through by 4
4y = 5x - 32 ( subtract 4y from both sides )
0 = 5x - 4y - 32 ( add 32 to both sides )
32 = 5x - 4y, that is
5x - 4y = 32 ← in standard form
