We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
Answer:
$5291.52
Step-by-step explanation:
So... the equation is f(x) = P(1+r/n)ⁿᵗ where r is the rate, n is the number of times compounded in a year, and t is time in years
if you plug the numbers in, you get (4000)(1+.07/52)^(4×52), which gives you $5291.52
It cannot be equivalent unless you can divide 5/6 into 4/5 and multiply 4/5 into 5/6, but you can't. You can only add both by one which doesn't make it equivalent in any way
Answer:
10
Step-by-step explanation:
This is the answer because:
1) First, insert all the numbers into the expression
Expression: I -2(2) + -3(2) I
2) Next, do -2 x 2 and -3 x 2
-2 x 2 = -4
-3 x 2 = -6
3) Then, do -4 + -6
-4 + -6 = -10
4) Finally, the absolute value of -10 is 10
Therefore the answer is 10
Hope this helps!
Answer:
4$
Step-by-step explanation:
The ratio between the $5.80 spent for 58 text messages is $0.10. This means that each text message sent is $0.10. So you just multiply $0.10 and 40 text messages to find that it costs $4 to send 40 messages.