Answer:
2x + 3y = -10
Step-by-step explanation:
First convert the line into slope intercept form to find the slope of the line.
2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.
Now convert the line into standard form by using the distributive property.
Answer:
a) $3,571.02
b) $3,572.9
c) $3,573.74
Step-by-step explanation:
Data provided in the question:
p = $3000,
r = 3.5%,
t = 5 years
a) quarterly
number of periods in a year, n = 4
Interest rate per period = 3.5% ÷ 4 = 0.875%
Now,
A = total amount
n = number of times compounded per year
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]
A = 3000 × 1.19034
A = $3,571.02
b) monthly
number of periods in a year, n = 12
Now,
A =
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]
A = 3000 × 1.190967
A = $3,572.9
c) continuously
A =
on substituting the respective values, we get
A = 3,000 ×
or
A = 3,000 ×
or
A = 3,000 × 1.1912
or
A = $3,573.74