Answer:
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = number of nickels in the student's pocket
y = number of dimes in the student's pocket
Each nickel has a value of $0.05, so x nickels have a value of 0.05x
Each dime has a value of $0.10, so y dimes have a value of 0.10y
The student has a total of 10 coins, thus:
The total value of the coins is $0.85, thus
The system of linear equations that represents this scenario is:
Good bless you brother I wish I can help you
P-5=3s-15 because Pete is 20 and Sam is 10. 20-5= 15 and 3(10)-15 also equals 15. The answer is C.
The monthly payment on the mortgage is option C) $2537.44
<u>Step-by-step explanation</u>:
- Principal (P): $
295,000
- Rate (r): 6.3% = 0.063
- Number of times compounded (n): 12months
15 years = 180
- Number of years = 15
The formula is A = P(1 + r/n)^nt
⇒ A = 295000(1+0.063/180)^(18015)
⇒ A = 295000(180.063/180)^2700
⇒ A = 295000 (1.00035)^2700
⇒ A = 758854.5
Interest = Amount - Principle
⇒ 758854.5 - 295000
⇒ Interest = 463854.5
∴ The monthly payment for 15 years = 463854.5 / (1512)
The monthly payment on the mortgage = 2576.9 (approximately option C)
Answer:
Yes
Step-by-step explanation:
ΔMNL ≅ ΔQNL by ASA or AAS
by ASA
Proof:
∠ LNM = ∠LNQ =90
LN = LN {Common}
∠MLN = ∠QLN {LN bisects ∠ L}
By AAS
∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}
∠Q + 32 + 90 = 180
∠Q + 122 = 180
∠Q = 180 -122 =
∠Q = 58
∠Q = ∠M
∠MNL =∠QNL = 90
LN = LN {common side}
