Answer:
12,400
Step-by-step explanation:
Let the current employees be x
65% increase in number = 0.65x
If the total number of employees after the increase is 20,460, then;
x + 0.65x = 20,460
1.65x = 20,460
x = 20,460/1.65
x = 12,400
Hence the current number of employees is 12,400
The balance is $145 but after one makes he minimum payment of $20, there is $125 left to pay. However interest is added before the next month’s bill is generated.
Remember that percent means out of 100. 1.5% means 1.5/100 = .015
To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88
We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
Answer:
14
Step-by-step explanation:
28=Diameter
Radius= D/2
=14
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
Answer:
The lines are congruent, the figure is a parallelogram.
