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skad [1K]
2 years ago
15

The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?

Mathematics
2 answers:
pochemuha2 years ago
8 0

Answer:

C

Step-by-step explanation:

p+q=7

murzikaleks [220]2 years ago
7 0
I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)
 
        p        q
A     3        4     ⇒ 3 + 4 = 7
B     6        1     ⇒ 6 + 1 = 7
C     9       -2    ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.


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A loan of £1000 has a compound interest rate of 2.7% charged monthly. Express the original loan as a percentage of the total amo
const2013 [10]

Answer:

£1054.729

Step-by-step explanation:

To find compound interest you need to use the equation 1000(1.027)^x.

To find the interest rate (1.027):

100 + 2.7 = 102.7

102.7 / 100 = 1.027

The value of x is the amount of months if no payment is made in this situation, so 2 would be the x value for this problem.

Hope this helps!  

8 0
2 years ago
O preço à vista de uma mercadoria é R$ 130,00. O comprador pode pagar 20% no ato da compra e o restante em uma única parcela ven
lukranit [14]

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

8 0
3 years ago
The total revenue for dante's villas is given as the function r(x)=300x−0.2x2, where x is the number of rooms filled. What numbe
FinnZ [79.3K]

Solution:- Given that the total revenue function

r(x)=300x-0.2x^2 ,where x is the number of rooms filled

Now, differentiating the function w.r.t. x,we get

r'(x)=300-0.4x

To find critical points ,Put r'(x)=0

\Rightarrow300-0.4x=0\\\Rightarrow0.4x=300\\\Rightarrow x=750\\\text{Now}\\r"(x)=-0.4


4 0
3 years ago
Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left.​
LenaWriter [7]

Answer:

30%

Step-by-step explanation:

total boxes of pizza = 20

he gave away 14 boxes

so pizza left is 20 - 14 = 6 boxes

to calculate percentage = 6 / 20 * 100

= 6 * 5

= 30%

5 0
3 years ago
Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)
JulijaS [17]

(x^3 + 3x^2 + 6) - (9x^2 - 5x + 7)\\\\x^3 + 3x^2 + 6 - 9x^2 + 5x - 7\\x^3 - 6x^2 + 5x  -1


8 0
3 years ago
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