Answer:
m < -12
Step-by-step explanation:
Not sure if there's something missing in your equation.
-2(4+m) > 16
-2m-8>16
Add 8 to both sides to cancel out.
-2m - 8 [+8] > 16 [+8]
-2m > 24
Divide by -2 on both sides.
(-2m ÷ -2) > (24 ÷ -2)
m < -12
D=4Step-by-step explanation:
Answer:
The amount that Barry would pay in interest for his loan is $15.05.
Step-by-step explanation:
To calculate this, we first calculate the monthly required fixed payment using the formula for calculating loan amortization as follows:
P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)
Where,
P = Monthly required fixed payment = ?
A = Loan amount = $1,000
r = monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075
n = number of payment months = 3
Substituting all the figures into equation (1), we have:
P = ($1,000 * (0.0075 * (1 + 0.0075)^3)) / (((1 + 0.0075)^3) - 1)
P = $338.35
Therefore, we have:
Total repayment = P * 3 months = $338.35 * 3 = $1,015.05
Interest amount = Total repayment - Loan principal = $1,015.05 - $1,000 = $15.05.
Therefore, the amount that Barry would pay in interest for his loan is $15.05.
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
