Of the first 100 customers to walk into a grocery store, 9 bought flowers. What is that percent of the customers that bought flo
2 answers:
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Answer:
- 9.6
- 11.2
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Answer:
The speed should he travel to arrive on time is 12 km/h
Step-by-step explanation:
Given as :
Let the time taken by bicyclist = T h
If bicyclist travel with speed 10 km/h,
Then the time taken by him = ( T + 1 ) hours
Again
If bicyclist travel with speed 15 km/h ,
Then the time taken by him = ( T - 1 ) hours
Now Let The distance cover by bicyclist = D km = Speed × Time
So, As The distance cover is same for both case
∴ 10 × (T + 1 ) = 15 × (T - 1)
Or, 2 × (T + 1 ) = 3 × (T - 1)
Or, 2 T + 2 = 3 T - 3
Or, 3 +2 = 3 T - 2 T
∴ T = 5 hour
So, Distance cover by bicyclist = D = 10 × (5 + 1 )
Or, D = 60 km
So, new speed of bicyclist with time 5 hour and distance cover 60 km
New Speed =
Or, New Speed =
∴ New Speed = 12 km/h
Hence The speed should he travel to arrive on time is 12 km/h Answer
We know that
P = A/D
Where,
P = monthly payments,
A = Total amount =$1,000,000
![D=[(1+r/12) ^{12*t}-1]/[(r/12)*(1+r/12)^{12*t}]](https://tex.z-dn.net/?f=D%3D%5B%281%2Br%2F12%29%20%5E%7B12%2At%7D-1%5D%2F%5B%28r%2F12%29%2A%281%2Br%2F12%29%5E%7B12%2At%7D%5D%20%20)
in this problem
t=30 years
r=8%----> 0.08
![D=[(1+0.08/12) ^{12*30}-1]/[(0.08/12)*(1+0.08/12)^{12*30}] =136.2835](https://tex.z-dn.net/?f=D%3D%5B%281%2B0.08%2F12%29%20%5E%7B12%2A30%7D-1%5D%2F%5B%280.08%2F12%29%2A%281%2B0.08%2F12%29%5E%7B12%2A30%7D%5D%20%3D136.2835)
the answer is
$7337.65
P = A/D
Where,
P = monthly payments,
A = Total amount =$1,000,000
in this problem
t=30 years
r=8%----> 0.08
the answer is
$7337.65