Answer:
You use the slope formula and slope-intercept form y =
m
x
+
b to find the equation. y
=
4
/3
x
Answer:
Samos
Step-by-step explanation:
Answer:
The Answer is: y = -1/4x + 6
Step-by-step explanation:
Given point: (4, 5)
Given equation: y = -1/4x - 11
Slope: m = -1/4, a parallel line will have the same slope.
Start with the point slope form and solve for y:
y - y1 = m(x - x1)
y - 5 = -1/4(x - 4)
y - 5 = -1/4x + 1
y = -1/4x + 1 + 5
y = -1/4x + 6
Proof:
f(x) = -1/4x + 6
f(4) = -1/4(4) + 6
= -1 + 6 = 5, giving (4, 5)
Hope this helps!! Have an Awesome day!!! :-)
To solve for the A or the principal amount plus interest you can use two formulas:
A = P + I
Where: P = Principal
I = Interest
or you can use
A = P (1+ rt)
Where: P = principal
r = rate in decimal
t = time in years
With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.
Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40
Your A is then equal to $488.40
If you need to get the simple interest all you need to use is the first formula given:
A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40
$266.40 is the added interest to the principal amount.
<span>Compound
interest formula</span>
Where
<span>
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate</span>
t = time
<span>n=
number of times compounded in one t
Remark
----------------------------------------------------------------------------------
r is generally a percentage like 3%, 7% etc and
are applied in the formula as 0.03, 0.07...,
the interest is compounded generally annually (
n=1), quarterly (
n=4),
monthly (
n=12), etc...
t is in years,
In our problem:
</span>
A= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4
applying the formula:
75% of 12 months is 3/4 of 12 months, which is 9 months
Answer: 2 years, 9 months
