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:
4 dozens
Step-by-step explanation:
<em>Find Eleanor and Joanna's ratio of eggs to milk</em>
Eleanor:
<em>Dozen eggs : gallons of milk</em>
9 : 3
3 : 1
Joanna:
<em>Dozen eggs : gallons of milk</em>
2 : 2
1 : 1
<em>They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.</em>
Total dozen of eggs = 3 + 1 = 4
Therefore, total dozen of eggs the family have per week is 4 dozens.
Answer:
Both sides must remain equal.
Step-by-step explanation:
An equation features an equal sign in the middle, therefore showing that both sides are always equal to each other. That is why the answer is equal.
Answer:
9 payments
Step-by-step explanation:
You divides 2400 by 250 and get 9.6. It asks how many WHOLE payments she can make, that would give you 9
Answer:
$925.097.
Step-by-step explanation:
We will use EMI formula to answer our problem.
, where,
E is EMI.
P= Principal loan amount.
r= the rate of interest calculated on monthly basis.
We need to figure out our principal loan amount before using this formula. We are told that we have to pay 20% of $250,000 as down payment, therefore our principal loan amount will be 80% of $250,000.



Now let us use EMI formula to find our mortgage payment.

Therefore, the mortgage payment to cover remaining balance in 30 years will be $925.097 per month.