Answer:
Step-by-step explanation:
180 = 7x +2 + 7x + 2 + 180 - (17x -23)
180 = 14x +4 + 180 -17x +23
180 = -3x +207
3x = 27
x = 9
To solve this, simply switch the X and y variables within one equation, and upon doing so, see and check if it equals to the other equation.
f(X) = -X + 4/5
Y = -X + 4/5
X = (-Y+4)/5
5X = -Y + 4
-Y = 5X - 4
Y = -5x + 4
Yes, by looking at the second equation it is an inverse of the first one.
Answer:
he needs 17/8 gallons of milk to make 30 milkshakes and this is proportional relationship
Step-by-step explanation:
3/4 divided by 12 = 1/16
gallon to make 1 milkshake and
1/16 x 30 = 17/8 gals. to make 30 milkshakes,
it's proportional because 3:4 > 15:8
The magnitude size of -5.8 is 5.8
magnitude size of a number is the number itself, and if it’s negative, it becomes its absolute value (in other words, you remove the subtraction sign).
Answer:
A = $996.00
Step-by-step explanation:
(I = A - P = $196.00)
Equation:
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 800(1 + (0.07 × 3.5)) = 996
A = $996.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.
