Answer:
x = 21/8
Step-by-step explanation:
So 8 is being multiplied by something to get to 21
So 8x = 21
Solve for x:
-Chetan k
When calculating the loan's effective rate, the most accurate statement is that the effective rate will exceed the nominal rate.
<h3>Effective Annual Rate:</h3>
The interest rate for the entire year is known as the effective annual rate (EAR). Interest charges are incurred when a company uses debt or capital leases to fund its operations.
Interest is reported on the income statement, but it can also be generated on an investment or paid on a loan over time due to compounding interest.
It is frequently larger than the marginal rate and is used to compare various financial products with different compounding periods, such as weekly, monthly, and yearly.
The effective yearly interest rate rises over time as the number of compounding periods increases.
Therefore, the correct option is A.
Learn more about the loans here:
brainly.com/question/2405320
Answer:
Step-by-step explanation:
a. Since the parabola is compressed by a factor of 1/3 we can state:
- a parabola is written this way : y=(x-h)²+k
- h stands for the translation to the left ⇒ 2*3=6
- k for the units down ⇒4*3=12
So the equation is : y=(x-6)²+12
b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2
- We khow that a parabola is written this way : y=(x-h)²+k
- (h,k) are the coordinates of the vertex
- the maximum value is 7*0.5=3.5
- we khow tha the derivative of a quadratic function is null in the maximum value
- so let's derivate (x-h)²+k= x²+h²-2xh+k
- f'(x)= 2x-2h h is 1 since the axe of simmetry is x=1
- f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
- Now we khow that 1 is the point where the derivative is null
- f(1)=3.5
- 3.5=(x-1)²+k
- 3.5= (1-1)²+k⇒ k=3.5
So the equation is : y=(x-1)²+3.5
7.
the maximum height is where the derivative equals 0
- h= -5.25(t-4)²+86
- h= -5.25(t²-8t+16)+86
- h=-5.25t²+42t-84+86
- h=-5.25t²+42t+2
Let's derivate it :
- f(x)= -10.5t+42
- -10.5t+42=0
- 42=10.5t
- t= 42/10.5=4
When the height was at max t=4s
- h(max)= -5.25(4-4)²+86 = 86 m
h was 86m
X = 5, that’s the answer to question 12
D
You figure out the absolute value by determining how far the number is from the point 0 on a number line.
