Answer:
The solution of the given system is (x,y) = (1,4)
Step-by-step explanation:
Here, the given system of equation is:
x = -3 + y
26 x - 5 y = 6
Now, substitute x = -3 + y in the second equation , we get
26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6
or, 26(-3) + 26(y) - 5y = 6
⇒ - 78 + 26 y - 5y = 6
⇒ 21 y = 84
⇒ y = 84 / 21 = 4 or , y = 4
So x = -3 + y = -3 + 4 = 1
Hence, the solution of the given system is (x,y) = (1,4)
Answer:
<h2>5, 7, 11</h2>
Step-by-step explanation:
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
A prime number has only two divisors: 1 and itself.
Therefore, the prime numbers are:
5, 7 and 11.
12 is not a prime because 12 = 2 × 6 = 3 × 4.
12 has six divisors: 1, 2, 3, 4, 6 and 12.
Answer:
9.68%
Step-by-step explanation:
cost of car = $35,000
down payment = $3,000
number of monthly instalments= $65
amount in every monthly instalment= $539.99
total monthly payment= 65×539.99= 35099.35
amount to be paid apart from downpayment= $35,000-3000= 32,000
therefore total interest paid in 65 months= 35099.35-3200= $3099.35
now, monthly interest rate 
⇒ r= 9.68%
divide the numerator and denominator by 13
=
Rule of trigonometric functions:-
sin a = cos(90 - a)
Here a = 90°.
sin 90 = cos (90 - 90)
1 = cos 0.
cos 0 = 1.
So the cos 0 = 1.
