Answer:
The equivalent expression is 
A is correct
Step-by-step explanation:
We are given two complex number and need to multiply it. To find equivalent fraction.
Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd
Combine the like term and simplify
Hence, The equivalent expression is
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is
"It takes 9 seconds for the rock to reach the water."
Answer:
$45
Step-by-step explanation:
We are given the following information;
- Money invested (Principal) is $300
- Rate of interest is 5% per annum
- Time the money is invested is 3 years
We need to determine the amount of interest the money will earn after three years.
- Simple interest is calculated by the formula;
- Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.
Therefore, in this case;
Simple interest = ($300 × 5 × 3) ÷ 100
= $45
Thus, the money invested earned a simple interest of $45
Answer:
B. 10 months
Step-by-step explanation:
The balance on the loan will be ...
b = 1600 - 80t . . . . . . where t is the number of months of payments
The balance in the savings account will be ...
s = 500 + 25t
The savings account balance will be at least as much as the loan balance when ...
s ≥ b
500 +25t ≥ 1600 -80t . . . substitute the account balance expressions
105t ≥ 1100 . . . . . . . . . . . . add 80t -500
t ≥ 1100/105 ≈ 10.48 ≈ 10
It will take Josh 10 months to have enough savings to pay the loan in full.
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<em>Comment on rounding</em>
IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.
Answer:
coffee is the best answer in my mind
