Answer:
D. 3 and -4
Step-by-step explanation:
Given the expression, x² - x - 12, let's factorise to find the value of p and q using the table, for which we would have the expression simplified as (x + p)(x + q)
From the table, let's find the values of p and q that would give us -12 when multiplied together, and would also give us -1 when summed together.
Thus, from the table given, the row containing the values of p(3) and q(-4) gives us = -1 (p+q) . p = 3, q = -4 would be our values to use to factor x² - x - 12, as multiplying both will also give us "-12".
Thus, x² - x - 12 would be factorised or simplified as (x + 3)(x - 4)
Therefore, the answer is: D. 3 and -4
9514 1404 393
Answer:
- 160 yd³ must be hauled
- $520 is the cost
Step-by-step explanation:
There are 3 feet in a yard, so the volume of the hole is ...
(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)
= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled
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The cost is $13/(4 yd³), so the total cost will be ...
($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling
Answer:
Step-by-step explanation:
Set this up according to the Triangle Proportionality Theorem:
Cross multiply to get
and simplify to get
Get everything on one side of the equals sign and solve for x:
and
By the Zero Product Property,
x = 0 or 3x - 52 = 0 so x = 17 1/3
The payments are ...
A = P(r/n)/(1 -(1+r/n)^(-nt))
where P is the principal amount, $699,000*0.80 = $559,200
r is the annual interest rate, 0.05
n is the number of compoundings per year, 12
t is the number of years.
Then
A = 559,200*(0.05/12)/(1 -(1 +0.05/12)^(-12*35)) = 2822.21
The total of 420 of these payments is $1,185,328.20, which is $626,128.20 more than the loan amount.
Jamie's total finance charge is about $626,128.20.
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There is always some minor adustment required in the amount of the last payment. That has not been taken into account here.
