Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
Answer:
$976,578.71
Step-by-step explanation:
We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...
A = P(1+r)((1+r)^n -1)/r
where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.
A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71
The future value is $976,578.71.
x-32.2= 18.5
Add 32.2 to both sides
x-32.2+32.2 = 18.5 + 32.2
x = 50.7
I hope that's help !
Check your answer
replace x by its number
50.7-32.2= 18.5
18.5 = 18.5
so the answer is good .
Please let me know if you have question(s) !
Answer:
x = 50
Step-by-step explanation:
You are correct.
x + m<PQS + m<PSQ = 180
m<PQS = m<QRT = 70
m<QST + m<PSQ = 180
120 + m<PSQ = 180
m<PSQ = 60
x + 70 + 60 = 180
x + 130 = 180
x = 50
Great job!
