1/6 of an hour= 10 because 60mins=1hour & 60/6=10 so the sailboat travels 2 1/2 miles in 10 mins. So the complex fraction would be 2 &1/2 over 10. Hope it helps!
1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:
2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:
3) Thus the rate Otto needs is
Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
Answer:
Sin theta = 12/13
Step-by-step explanation:
From the question;
Cot theta = 5/12
Kindly recall;
Cot theta = 1/ tan theta
Hence, tan theta = 12/5
Mathematically
tan theta= opposite/adjacent
to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides
let hypotenuse be h
h^2 = 12^2 + 5^2
h^2 = 144 + 25
h^2 = 169
h = √169
h = 13
But sine theta = opposite/ hypotenuse = 12/13
Answer:
10w + 35 >= 125
Step-by-step explanation:
She saves $10m per week. That is 10w.
She already has $35, so add 35 to 10w.
10w + 35 >= 125
Answer:
<u>Total Cost (in dollars) = a + c</u>
Step-by-step explanation:
<u>Algebra</u>
When mathematics quantities are generalized into letters or variables, then we are dealing with algebra.
We are said the cost of an adult's ticket into a theme park is $a and a child's ticket costs $c. Since both quantities are unknown, we must treat them as variables and use the same logic procedure to solve the problem as if they were numbers.
The total cost for an adult and a child is the sum of both individual costs, thus
Total Cost (in dollars) = a + c
