Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
Answer:
Step-by-step explanation:
4x+y=14
x-2y=8
then;
x=8-2y
substitute;
4(8-2y)+8-2y=14
32-8y+8-2y=14
40-10y=14
26=10y
y=2.6 , work out 4x+2.6=14 to get x
Answer:
the tax on a $90,000 salary is: $5175
Step-by-step explanation:
Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "<em>17,001 and up</em>". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.
Recall that 5.75% in math terms is: 5.75/100 = 0.0575
Then the 5.75% of $90,000 is mathematically calculated as the product :
0.0575 x 90,000 = 5175
Therefore the tax on a $90,000 salary is: $5175