Answer:
The total budget is $1260
Step-by-step explanation:
Given
Required
Determine the total budget
Since all budgets was spent on Props and Costumes only.
We have that.
In other words, 55% was spent on Props
Let the total budget be x, we have:
Make x the subject
Hence, the total budget is $1260
Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
The question is incomplete. The complete question is :
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?
Solution :
It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.
<u>So for Jiana</u> :
Principal, P = $300
Rate of interest, r = 7%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get
<u>Now for Tomas </u>:
Principal, P = $400
Rate of interest, r = 4%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get
Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is .
And the pair of equations that would correctly calculate the compound interests for Tomas is .
1650
1375
15400
Hope this will be helpful
Answer:
you subtract 7 from both sides
Step-by-step explanation: