The slope-intercept form is defined as: m for slope and b for y-intercept, which corresponds to the point (0, b). For the points (4, 3) and (0, 1), we find b = 1. Now let's calculate the slope.
To calculate this, a specific formula will be necessary. Years = log (total/principal) / [n * log (1 + rate / n)]. Part A) For Calvin: $400 at 5% monthly results in $658.80; Time =? Monthly compounding, n = 12. Thus, Years = log(658.80/400) / [12 * log(1+ (.05/12))]. Subsequently, Years = log(
1.647) / (12 * log(1.0041666667)). Then, Years = 0.21669359917 / 12 * 0.0018058008777. Thus resulting in Years = 0.21669359917 / 0.0216696105. Ultimately, Years ≈ 9.999884362. Part B) For Makayla: $300 at 6% quarterly yields $613.04; Time=? Quarterly compounding, n = 4. Therefore, Years = log(613.04/300) / [4 * log (1 +.06/4)]. This results in Years = log(2.0434666667) / (4 * log(1.015)). Years thus equals 0.31036755784 / (4 * 0.0064660422492), resulting in Years ≈ 11.9999044949. The approximate difference is about 3 years.
Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.
Step-by-step explanation:
Given: Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have
9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252
-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120
By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132
⇒ 33x = 132 ⇒ x = 4.
Answer:
Michael purchases 60 kg of dark chocolate alongside 40 kg of milk chocolate.
Step-by-step explanation:
Let d signify the kilograms of dark chocolate bought by Michael and m signify the kilograms of milk chocolate he acquires.
He must acquire a total of 100 kg of chocolate, thus
With dark chocolate priced at $12 per kg, the cost for d kg would be $12d. The price of milk chocolate is $10 per kg, indicating the cost for m kg is $10m. Michael intends to spend $1,120 on the chocolate, therefore
Taking the first equation
By inserting this into the second equation:
Michael ends up buying 60 kg of dark chocolate and 40 kg of milk chocolate.
Greetings
The equation is
A = p (1 + r)^t
What is the future value?
P is the present value 1020
R is the rate of increase 0.03
T is the duration 2015−2001=14 years
So
A = 1,020 × (1 + 0.03)^(14)
A = 1,542.8 rounding it gives
A = 1543
Hope this information is helpful
