Okay. The formula for compound interest is P(1 + r)^t, with P = principal, r = percentage rate, and t = time in years. 4.8% is 0.048 in decimal form. We add 1 to that number to get 1.048. Because the amount of time compounded is 7 years, we raise 1.048 to the 7th power. 1.048^7 is 1.388445952. Do not delete this number from your calculator. Now, multiply that number by 12,000 to get 16,661.35142 or 16,661.35 when rounded to the nearest hundredth. There. The value after seven years is $16,661.35.
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,
Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
The definition of parallel lines is;<span> two </span>lines<span> that are always the same distance apart and never touch. In order for two </span>lines<span> to be </span>parallel<span>, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. ... Any </span>line<span> that has the same slope as the original will never intersect with it.</span>
Answer:
B
Step-by-step explanation:
Use distributive property:
5(2x - 3) = 5x - 10
10x - 15 = 5x - 10
Isolate the variable:
10x = 5x - 10 + 15
10x = 5x + 5
10x - 5x = 5
5x = 5
x = 1
