Mrs. Guilhermina received hands of what she imagined this month, so she had to use the limit of her overdraft. What approximate amount will she pay, if she used R $ 5,500.00 for 1 month andto 14% in compound interest?
Amount owed = R$ 5.500,00 * (1+014./12)^1 = R$ 5.500.00*(1.011) = R$ 5.564,00
Pythagoreon theorem
a^2+b^2=c^2
5^2+10^2=125 not 20^2
Answer:
The three numbers are 56/5, -39/5 and 78/5.
Step-by-step explanation:
EQUATION 1:
First number: x
Second number: y
Third number: z
x + y + z = 19
EQUATION 2:
Sum of following is 77
Twice the first number: 2x
5 times the second number: 5y
6 times the third number: 6z
So, 2x + 5y + 6z = 77
EQUATION 3:
Difference between first and second number is 19.
x - y = 19
Equation 1: x + y + z = 19
Equation 2: 2x + 5y + 6z = 77
Equation 3: x - y = 19
1. Find x in terms of y
x - y = 19
x = 19 + y
2. Find y in terms of z by putting the value of x in first and second equation
x + y + z = 19
(19 + y)+ y + z = 19
2y + z = 19 - 19
2y + z = 0
y = -z/2
and
2(19+y)+5y+6z=77
now putting the value of y in this equation
2(19-z/2)+5(-z/2)+6z=77
38 - z -5z/2 +6z = 77
5z/2 + 38 = 77
5z/2 = 39
z = 78/5
Now, y = -z/2
y = (-78/5)/2
y = -39/5
and x = 19 + y
x = 19 - 39/5
x = 56/5
Therefore, the three numbers are 56/5, -39/5 and 78/5.
Keyword: Sum
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Answer:
120 miles
Step-by-step explanation:
Ms. Turner drove 90 miles in March. In January, she drove 1/3 as much as in March.
90 ÷ 3 = 30 miles in January
She drove 4 times as many miles in February as she did in January. In January, she drove 30 miles.
30 x 4 = 120 miles in February
18
the calculated percentage of 75 anf 24 is 18