Answer:
6/7
Step-by-step explanation:
You divide 3/14 by 1/4. Which means 3/14 times 4, which equals 6/7.
Answer: the balance after 9 years is
$235.8
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $100
r = 10% = 10/100 = 0.1
n = 1 because it was compounded once in a year.
t = 9 years
Therefore,.
A = 100(1 + 0.1/1)^1 × 9
A = 100(1 + 0.1)^9
A = 100(1.1)^9
A = $235.8
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Answer:
C)
Step-by-step explanation:
Trigonometry ratio:
We need to find the opposite side using Pythagorean theorem.
opposite side² = hypotenuse² - adjacent side²
= 10² - (-3)²
= 100 - 9
= 91
opposite side = √91
In quadrant II, value of tan 
is negative.
