Options a, b, and d are all correct.
I just substituted the x values into a calculator and checked if the y value was equal as well
Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Answer:
1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.
2.((Number × Percent/100)) + Number
((38 × 15/100)) + 38
5.7 + 38
= 43.7
3. I say that Mrs. House should go-to target. And just by $1.30.
At Kohls, the speaker would be at $45.00.
At target, the speaker would be at $43.70.
$45.00 - $43.70 = $1.30
Step-by-step explanation:
Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call 
the american population, 
the British population before the migration, and 
the population that migrated from America to Britannia.
Now, the population that migrated was 20% of the american population:
,
and the same population increase the British population by 4%:
Combining equation (1) and (2) we get:
Thus, the American population was 20% of the British population.
