Y=2x+6
gradient is found from the formula,
$\frac{ - 1}{ - \frac{1}{2} } = 2$
y intercept is found by subbing the values of (-1,4) into the equation y=2x+c

8 0

3 years ago

Jorge received a 3.1% increase in his pay at work. If he now makes $8.00 per hour, how much was he making before his raise? (Rou

Blababa [14]

Answer:

$7.76

Step-by-step explanation:

Let x be the amount he was making before the raise.

He had an increase of 3.1% of x added to x which resulted in a new salary of $8.00 per hour.

Mathematically:

$(\frac{3.1}{100} * x) + x = 8\\\\0.031x + x = 8\\\\1.031x = 8\\\\=> x = 8 / 1.031$

x = $7.76

He was making $7.76 before the raise.

4 0

2 years ago

How do you write 2.3 x 103 in standard form?

Misha Larkins [42]

Answer:

2300

Step-by-step explanation:

$2.3 \times {10}^{3} \\ \\ = 2.3 \times 1000 \\ \\ = 2300$

7 0

2 years ago

A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how

m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0

2 years ago