Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
Answer:
75
Step-by-step explanation: 2 times 30 is 60 30 divide by .5 is eqaul to 15 becasue it is half
and 60+15=75
Step-by-step explanation:
Substituting y in the first equation
At x = 1.17
At x = -1.17
The intersection points are (1.17, 5.85k) and (-1.17, -5.85k)
The graph would intersect regardless of what value k is.
Volume of a cone: (1/3)πr²h
Data:
V=31.5 in³,
r=3 in
Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in
answer: the height of the cone is 3.34 in.
The equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
<h3>Equation</h3>
- Assignment in the history, science, and art sections combined = 132 assignment
- Assignment in the math section = x
- Total assignment = 197 assignments
Total assignment = Assignment in math + Assignment in other subjects
197 = x + 132
197 - 132 = x
65 = x
Therefore, the equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
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