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Margarita [4]
3 years ago
14

Aggie is an Australian exchange student in China, and she currently has 14,000 yuan in her bank account. If the exchange rate ch

anges from 1 Australian dollar = 6.21 Chinese yuan to 1 Australian dollar = 6.37 Chinese yuan, what happens to the value in Australian dollars of the money in Aggie's bank account?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
Find the value in Australian dollars for each exchange rate. 
<span>1st exchange rate: </span>
<span>14000/6.21= $2254.43 </span>

<span>2nd exchange rate: </span>
<span>14000/6.37= $2197.80 </span>

<span>Find the difference between the two: </span>
<span>$2254.43 - $2197.80 = $56.63 </span>

Since the first value is greater than your second one Aggie lost money and your answer is <span>It decreases by $56.63.</span>
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saveliy_v [14]

Answer:

The probability is 0.6796

Step-by-step explanation:

Given

Population Mean - 100

Population Standard Deviation - 25

As we know

z = x-μ/σ, where:

z is the standard score

x is the raw score  

μ is the population mean

σ is the population standard deviation

Z value for mean of sample = 95

z1 = -100+95/25 = -5/25 = -0.2

P value for Z = -0.2 is 0.2912

Z2 = 100-105/25 = 0.2

P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706

P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796

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3 years ago
A store is selling scooter for $40. You have a coupon and person for $15. What percent was the coupon? 20 points!! ​
Paraphin [41]

Answer:

$15 is 37.5% of $40.

Step-by-step explanation:

5 0
3 years ago
A ball is hit vertically upwards from a cliff, which is 80 m above the sea. The displacement
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Answer:

a) 8 seconds

b) 3 seconds

c) 170 meters

Step-by-step explanation:

a) When the ball lands in the sea, s = -80.

-80 = 30t − 5t²

5t² − 30t − 80 = 0

t² − 6t − 16 = 0

(t + 2) (t − 8) = 0

t = -2 or 8

t = 8 seconds

b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).

t = -b / (2a)

t = -30 / (2 × -5)

t = 3 seconds

c) The highest point is:

s = 30(3) − 5(3)²

s = 45

So the ball rises 45 meters, falls 45 meters, then falls 80 meters.

The total distance traveled is 45 + 45 + 80 = 170 meters.

6 0
3 years ago
Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is d
VLD [36.1K]

Answer: After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

12 + 0.2x =  26.4 -0.7 x

Subtract 12 from both sides

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Add 0.7xn on both sides , we get

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Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.

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50=3x+b. you never specify the variable that replaces b

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