Answer:
United States dollars = $200
Step-by-step explanation:
given data
Currency on hand = 5,000
solution
We will convert the 5,000 pesos into US dollars
we consider here exchange rate that is
current Mexican Peso to US Dollar = 0.040
so United States dollars will be by 5,000 pesos
United States dollars = 5,000 pesos × exchange rate ..............1
United States dollars = 5,000 pesos × 0.040
United States dollars = $200
Answer:
8.
Step-by-step explanation:
Answer:
(-2, 5), (-2, -19), (5.2, 2.6)
Step-by-step explanation:
You can add ±12 to either the x- or the y-coordinate, as was done in the first two answers above.
Or, you can figure the side lengths of a triangle with hypotenuse 12 and add those to the coordinates. For example, a 3-4-5 right triangle multiplied by 2.4 will have side lengths of 7.2, 9.6 and a hypotenuse of 12. Hence we can find one of your end points to be ...
(-2+7.2, -7+9.6) = (5.2, 2.6)
Answer:
1.)1804
2.)1827
3.)2286
4.)1473
5.)6489
6.)3448
7.)1122
8.)5467
9.)4755
10.)1524
Step-by-step explanation:
hope it helps:)
Answer:
Step-by-step explanation:
We have volume of cone as
and for a cone always r/h = constant
Given that r' = rate of change of radius = -7 inches/sec
(Negative sign because decresing)
V' =- 948 in^3/sec
Radius = 99 inches and volume = 525 inches
Height at this instant = 
Let us differentiate the volume equation with respect to t using product rule
![V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%5C%5CV%27%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2rhr%27%2Br%5E2%20h%27%5D%5C%5C-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C)
![-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14 + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514](https://tex.z-dn.net/?f=-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C-948%20%3D%2033%283.14%29%28-2.25%2F3.14%20%20%2B%2099%20h%27%29%5C%5C-9.149%3D-0.72%2B99h%27%5C%5C-8.429%20%3D%2099h%27%5C%5Ch%27%20%3D%200.08514)
Rate of change of height = 0.08514 in/sec
