Answer:
238.65
Step-by-step explanation:
To find the simple interest we use the formula:
A = P(1 + rt)
Let's break down all the variables that we have.
P = 3,700
r = 2.15% or 0.0215
t = 3
So let's put all our variables into the formula.
A = P(1 + rt)
A = 3,700(1 + (0.0215)(3))
A = 3,700(1 + 0.0645)
A = 3,700(1.0645)
A = 3938.65
Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.
Interest = 3938.65 - 3700
Interest = 238.65
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
Part A)
The table doesn't represent y as a function of x.
Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair.
Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220
</span><span>f(120) represents cost of boating for 120 hours.</span><span>
</span>
Answer:
The answe wo
Step-by-step explanation:
Since
, we know that
follows a Poisson distribution with parameter
.
Now assuming
denote the mean and standard deviation of
, respectively, then we know right away that
and
.
So,
