Answer: The two integers are 8 and 9.
Step-by-step explanation: Let n represent the number.
n^2 + (n + 1)^2 = 145
By foiling, this can be rearranged to:
n^2 + n^2 + 2n + 1 = 145
Subtract 145 from both sides:
2n^2 + 2n - 144 = 0
Divide both sides by 2:
n^2 + n - 72 = 0
Factor the polynomial:
(n + 9)(n - 8) = 0
Solve for n:
n = -9, n = 8
Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.
Now, n = 9 and n = 8.
These are your two integers. Hope this helps!
Answer:
177.2 i think
Step-by-step explanation:
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
The closest among the choices is Choice C. 105. Difference in amount may vary in the rounding off of the decimal numbers.
Answer:f(3) = 23
Step-by-step explanation:
2(3)² + 5√(3 - 2)
f(3) = 2(9) + 5√(1)
f(3) = 18 + 5(1)
f(3) = 18 + 5
f(3) = 23
