Resposta: a) R $ 114,40
Explicação passo a passo:
Dado o seguinte:
Preço à vista da mercadoria = R $ 130
Pagamento inicial = 20% na compra
O saldo pode ser parcelado, o que adicionará 10% ao saldo devedor.
Portanto ; Pagamento inicial :
20% * 130
0,2 * 130 = R $ 26
Saldo devedor = R $ (130 - 26) = R $ 104
Parcela total devida:
Saldo de débito + 10% do saldo de débito
10% do saldo devedor:
0,1 * 104 = R $ 10,40
Parcela total:
R $ (104,00 + 10,40) = R $ 114,40
First observe that if
,

Let
and
. It follows that

Now let
, so
. Solving for
,

which means

Now solve for
.

(note that we assume
)

(we omit
since
is not true)
Answer:
Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD

As, we know that opposite angles of parallelogram are equal
Therefore,

Now, in triangle ADC
We know that sum of all the angles of a triangle is 



Subtracting 97 from both sides we get


Measure of 
Answer:
The complement event would be: "No rain today"
Its probability would be 70%
Step-by-step explanation:
Given the event:
A= rain today
The probability of rain today is 30%
P(A)=30%=0.3
The complement event has all the values that are not included in the event.
The complement event would be:
A'= No rain today
The probability of a event is the subtraction between 1 and the complement event:
P(A')=1-P(A)
Then, the probability of the event "No rain today" will be:
P(A')=1-0.3=0.7=70%
I think it would be the first answer.