<h2>Answer</h2>
Cost of lectures = $7.33 per hour
<h2>Explanation</h2>
Let
the cost of the exam hours
Let
be the cost of the workshop hours
Let
be the cost of the lecture hours.
We know from our problem that exam hours cost twice as much as workshop, so:
equation (1)
We also know that workshop hours cost twice as much as lecture hours, so:
equation (2)
Finally, we also know that 3hr exams 24hr workshops and 12hr lectures cost $528, so:
equation (1)
Now, lets find the value of
:
Step 1. Solve for
in equation (3)

equation (4)
Step 2. Replace equation (1) in equation (4) and simplify



equation (5)
Step 3. Replace equation (2) in equation (5) and solve for 







Cost of lectures = $7.33 per hour
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
Answer:

Weight of the truck=9408 N
Step-by-step explanation:
Boat is experiencing the buoyant force as it is in the water and is sinking
According to the force balance in y direction. As both is floating, two forces balance each other:

where:
is the buoyant force
is the weight=mg
Eq (1)
Buoyant force is equal to the mass of water displaced * gravitational acceleration.

Taking density of water to be 1000 Kg/m^3

From Eq(1):

Weight of the truck=9408 N
Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.
8. Average rating secured apr: 5.85% divide by 360 multiply by 30: 0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175
19,725 x 1.0475 = 20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.
9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost
15,867 x 1.0525 = 16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.
10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200
19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest
15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest
109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.
Answer:
The Answer is -16
Step-by-step explanation:
The equation to this would be -352 / 22, which would give you 16, hope this helped!