Solve the equation.round to the nearest thousandths -5+2in(3x)=5
1 answer:
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Answer:
The answer is:
12 ( y+ )
this suits perfectly the description
The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.
Step-by-step explanation:
Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.
Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.
The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.
So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.
The number of years to reach 13,500 dollars = = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.
Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,
From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;
