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IceJOKER [234]
2 years ago
12

A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

, what is the rate of the current
Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer:

2.1429 or 2 and 1/7

Step-by-step explanation:

Time = time

12/(15+c) = 9/(15-c)

12(15-c) = 9(15+c)

12*15 - 12c = 9*15 + 9c

21c = 3*15

c = 3*15/21

c = 45/21 = 2.1429..(speed of the current)

Downstream Info;

distance = 12 miles; rate = 15+c mph ; time = d/r = 12/(15+c) hrs.

Upstream Info:

distance = 9 miles ; rate = 15-c mph ; time = d/r = 9/(15-c) hrs.

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The radius of the water well is 9 inches. Find the area of the water well
leva [86]

Answer:

A=254.34

Step-by-step explanation:

1. A=πr²

2. A=π(9)²

3. A=π(81)

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8 0
2 years ago
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Lou started his savings account with 50$ he now only has 31$. What percent of change did his savings account have?
vladimir1956 [14]

Answer:

Step-by-step explanation:

50 - 31 = 19

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4 0
2 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
2 years ago
Read 2 more answers
Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle
taurus [48]

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)

5 0
2 years ago
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