The answer is $1071.43.
EXPLANATION
First, you need to know that with regards to this problem, loan and interest sums at $450,000 ($100,000+$340,000).
Next, divide it by 35 in order to find how much the payments will be on a per year basis.
$450,000/35 = $12857.14
Finally, divide it by 12 to find the monthly payments.
$12857.14/12 = $1071.43
Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
Answer:
A. Used to keep track of very large and very small numbers during mathematical calculations.
Step-by-step explanation:
Some very large and small numbers are not easily represented in mathematical calculations. Using scientific notations help us to represent very large and small numbers to the power of 10.
Overall, the goal is to find the value of x and then use this and the given total to find the percentage of x. First, to do this, we must set up our equations based on the given information.
x + y + z = 510
z = (3/2)y
y = 3x
Now, we can begin to solve with substitution. The ultimate goal is to get the first equation to be regarding one variable and them work backwards using that found value.
Substitute the 3rd equation into the second.
z = (3/2)(3x) ----> Simply
z = (9/2)x
Now, when we plug in z and y into the first equation, only x will be present.
x + (3x) + (9/2)x = 510 ---> Combine like terms.
4x + (9/2)x = 510 ---> Get a common denominator.
(8/2)x + (9/2)x = 510
(17/2)x = 510 -----> Multiply both sides by 2/17
Now, if you understand what you are looking at, you know that you just found your answer which is 2/17 because you are about to multiply that by the total.
2/17 = .12 × 100 = 12%
If you did not know that, you can continue solving and then find the answer using part over whole or the total books of school x divided by the total books from all schools. You will get the same answer!
x = (2/17)×510
x = 60
60/510 = .12 × 100 = 12%
I hope this helps!
The answer is C 40x9=360
444-360 = 84
84 /12= 7
The answer is C
