-6n-20=-2n+4-12n
-6n-20=-14n+4
+6n +6n
-20=-8n+4
-4 -4
-24=-8n
/8 /8
n=-3
-
12 lawns/9 hours = 1.33 lawns per hour
Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer:
53.51 years
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = $5000
PV = Present Value = $1500
n = Interest Rate = 2.25%
x = time in years = ?
e = mathematical constant = 2.7183
So,
5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾
50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾
㏑ (3.3333) = 0.0225x ㏑ (2.7183)
1.2040 = 0.0225x
x = 53.51 year
So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.
