Answer:
The horizontal speed of the truck is 102.39 km/hr.
Step-by-step explanation:
Given that,
Speed of airplane = 125 km/h
Angle = 35°
We need to calculate the horizontal speed
Using formula of horizontal speed
![u_{x}=u\cos\theta](https://tex.z-dn.net/?f=u_%7Bx%7D%3Du%5Ccos%5Ctheta)
Where, u = speed
Put the value into the formula
![u_{x}=125\times\cos35^{\circ}](https://tex.z-dn.net/?f=u_%7Bx%7D%3D125%5Ctimes%5Ccos35%5E%7B%5Ccirc%7D)
![u_{x}=102.39\ km/hr](https://tex.z-dn.net/?f=u_%7Bx%7D%3D102.39%5C%20km%2Fhr)
Hence, The horizontal speed of the truck is 102.39 km/hr.
Answer:
initial value = 20000
after 10 years = 6974
Step-by-step explanation:
This equation is in the form
y = ab^x where a is the initial value and b is the growth/decay rate
The initial value is 20,000
v(t) = 20000 (.90)^t
Let t = 10 years
v(10) = 20000 (.90)^10
v(10) =6973.568802
Rounding to the nearest dollar
=6974
Answer:
$13,450
Step-by-step explanation:
The fixed cost of production is $13,450, this is because a fixed cost of production is the amount of cost that does not change with an increase or decrease in the amount of the goods or services produced. Fixed cost of production are paid by companies. It is one of the two component of the total cost of goods or services along with the variable cost.
In regard to the information given in the question, no matter how many spinners the company produces, the fixed cost will remain the same.
Assuming x is the variable cost which signifies the number of spinners produced, this literally implies that the cost to produce each spinner is $1.28 and the fixed cost which is independent of the production is $13,450.
Hence, the fixed cost of production is $13,450.
we are given
![\sqrt{144}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D)
Firstly, we will find all possible factors of 144
![144=2\times 2\times 2\times 2\times 3\times 3](https://tex.z-dn.net/?f=144%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%203%5Ctimes%203)
we can also write as
![144=(2\times 2)^2\times (3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%29%5E2%5Ctimes%20%283%29%5E2)
now, we can put exponent to over entire term
![144=(2\times 2\times 3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%5Ctimes%203%29%5E2)
now, we can replace 144
![\sqrt{144}=\sqrt{(2\times 2\times 3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%5Csqrt%7B%282%5Ctimes%202%5Ctimes%203%29%5E2%7D)
now, sqrt will get cancelled with square
and we get
![\sqrt{144}=(2\times 2\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%282%5Ctimes%202%5Ctimes%203%29)
now, we can simplify it
![\sqrt{144}=(4\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%284%5Ctimes%203%29)
.............Answer
Answer:
The total amount that she paid was $410.75
Step-by-step explanation:
The taxes is 34.75%
Hope this helped