Answer:
n = 10
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 and = 345, thus
[ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )
n( 24 + 5n - 5) = 690 ← distribute and simplify left side
n(19 + 5n) = 690
19n + 5n² = 690 ( subtract 690 from both sides )
5n² + 19n - 690 = 0 ← in standard form
(5n + 69)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - 
n - 10 = 0 ⇒ n = 10
However, n > 0 , thus n = 10
Answer:
$16
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.
Simple Interest = P x r x n
where P = Principal amount, r = Annual interest rate, n = Term of loan, in years
2% = 2 ÷ 100 = 0.02 so r = 0.02
Therefore,
Simple Interest = 400 x 0.02 x 2 = 16
So she will be paid $16 in the first two years.
The equation you need to find x is,
.
Then solving for x gives you 
.
Hope this helps.
Answer:
Step-by-step explanation:
<h3>Exponent rule:</h3>
In exponent multiplication, if bases are same, add the exponents.
Answer:
1one is incorrect answer for this question
