Step-by-step explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
y = 1 - 3x = -3x + 1
slope = -3
y-intercept at 1
y = 3x - 1
slope = 3
y-intercept at -1
x - 3 = y → y = 1x - 3
slope = 1
y-intercept at -3
x + 3 = y → y = 1x + 3
slope = 1
y-intercept at 3
$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.
<u>Step-by-step explanation:</u>
Harlie invests $325 in an account.
- Principal, P = $325
- Interest rate, r = 8% ⇒ 0.08
- Number of years, t = 15
<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>
⇒
<u></u>
⇒ 
⇒ 
Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.
<u>Money Charlie has after 15 years :</u>
It is given by the formula,
⇒ Amount = Principal + Interest.
⇒ 325 + 390
⇒ 715 dollars.
∴ The money does Charlie have after the 15 years is $715.
Un parallelogramma è un quadrilatero avente i lati opposti paralleli (lato a = 10 cm, lato b = 12 cm);
La distanza tra i due lati paralleli si può considersre come l'altezza h (h=6)
L'area del parallelogramma é:
A= b×h = 12 cm × 6 cm = 72 cmq
Answer:
Step-by-step explanation:
Y=2x is linear (also proportional) since it involves only the first power of x
2x^2 is not linear, due to the second power of x (x^2); it is quadratic
Y = 1/x is not linear, due to x being in the denominator.
13. Supplementary angles are two angles that add up to 180 degrees.
3x + x = 180
Combine like terms:
4x = 180
4x divided by 4 = x
180 divided by 4 = 45
x = 45
Equation:
3(45) + 45 = 180
135 + 45 = 180 (TRUE STATEMENT)
Angle A = 135 degrees
Angle B = 45 degrees
This is correct as 135 + 45 adds up to 180 (making it a supplementary angle) AND 135 is 3 times bigger than 45 so it fits the answer’s standard.
Ima do number 14 in the comments as I don’t want to take too long to show number 13.