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
7x ( x + 1.8 ) = 0 → x = 0 or x = -1.8
<h3>Further explanation</h3>
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
<h2>D = b² - 4 a c</h2>
From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
Let us now tackle the problem!
<u>Given :</u>
<u>Solution :</u>
<h3>Therefore, the solution is x = { 0 , -1.8 }</h3>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Quadratic Equations
Keywords: Quadratic , Equation , Discriminant , Real , Number , Solution , Zero , Root
The answer is (B)!!!!!!!!!!!!!!!!!!!!!!!!
-sqrt(y) = -5
Multiply
each side by (-) negative sign: sqrt(y) = 5
Square each
side: y = 25
Answer: (C) 25
We can use the formula for area of a triangle to solve this problem A = (1/2)ab where a is the altitude or height and b is the base also we know that a = 4b in this problem and we know that A = 18 sq ft so 18 = (1/2)(4b)b 18 = 2b2 9 = b2 b = 3 so the base is 3 and the height is 4 times that a = 4(3) = 12 (height of the sail Hope this helps