Since Carmen gives two coins to Frankie for every five that she gets, she effectively only gains 3 coins at a time. Therefore, if she has 9 coins, Frankie must have 6.
Answer:
612 adults
361 students
Step-by-step explanation:
To solve this question, set two equations:
Let x be number of adults and y be number of students.
As there are in total 937 people, the equation would be the sum of both adults and children:
...... ( 1 )
As the total sale amount is $1109, the equation would be to add up the ticket fee:
...... ( 2 )
Put ( 1 ) into ( 2 ):
Put y into ( 1 ):
Therefore there are 612 adults and 361 students.
When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.
Since -3/2 is less than 0, it will go to the left of 0.
Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.
Remember to use sub points of 1.
Best of Luck!
Answer:
#a. $80
#b. $1680
Step-by-step explanation:
We are given;
- Amount invested (principal) is $1600
- Rate of interest is 5%
- Time = 1 year
We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.
#a. Interest earned
To calculate simple interest we use the formula;
I = (PRT) ÷ 100
Where, P is the principal, R is the rate, T is the time and I is the simple interest.
Therefore;
I = (1600 × 5 × 1) ÷ 100
= $80
Therefore, simple interest earned is $80
#b. Balance of the account (Amount accrued)
We are going to use the formula;
A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.
Therefore;
Account balance = $1600 + $80
= $1680
Thus, the account balance after 1 year will be $1680
Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
