Answer: There's a 3/10th chance its greater than 6.
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
X = oranges / y = apples
x - 2 = 2y and 0.5x - 0.5y = 4
x - 2 = 2y
+2 +2
x = 2y + 2
0.5x - 0.5y = 4
2(0.5x - 0.5y = 4)
x - y = 8
Substitute
(x) - y = 8
(2y + 2) - y = 8
3y + 2 = 8
- 2 -2
3y = 6
y = 2
Substitute again
x = 2y + 2
x = 2(2) + 2
x = 4 + 2
x = 6
Hope this helps!
Answer:
1. a) the square root of 20
2. d) the square root of 52
Explanation:
we can use the formula of pythagoras' theorem, which is a² + b² = c² (with c being the hypotenuse of a right-angled triangle while a and b are its other two sides), to solve these questions.
for the first question, we can place the given values into the equation to get 4² + b² = 6², with b being the unknown here. b is thus equivalent to 6² - 4², or <u>√20</u>.
for the second question, we can get 4² + 6² = c², which is the unknown value in this question. it would be <u>√52</u>.
i hope this helps! :D
Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.
The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.
Compounded interest formula is:
A = P(1 + r/n)^nt
where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested
A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880
The total amount Ryan will pay after 8 years is $8,880.00