Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
Since $14 is the price after a 30% discount then $14 is 70% of the original price.
$14/70=x/100 (100% would be the original price)
1400=70x or 1400/70 = $20!
You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!
Answer:
$1500
6% interest
use the formula...
P(1+(r/100))^n
where P=initial amount
r=interest rate
t=time period elapsed
so ... for 5 years we get
$1500(1+(6/100))^5 = $1500(1.06)^5 = 2007.3383664
for 10 years
1500(1.06)^10 = 2686.271544814228043264
468 months = 39 years
1500(1.06)^39=14555.261231781943250017719606544
Top second one under grass and across from minor 77.972.
Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.
Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:
Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
