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HACTEHA [7]
3 years ago
12

Keisha's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, she went 10 miles ups

tream in the same amount of time she went 20 miles downstream. Find the rate of the river current.
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0
If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.

The speed is still water is 9 mph.
The speed of the current is c.
Going downstream, the current adds speed, so the sped downstream is 9 + c.
The speed upstream is 9 - c.
9 + c is twice 9 - c.

9 + c = 2(9 - c)

9 + c = 18 - 2c

3c = 9

c = 3

Answer: The speed of the current is 3 mph.

Check:
9 + c = 12
9 - c = 6
By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.

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$4750 invested at 10% p.a compounded semiannually for 10 years, calculate the interest
alexgriva [62]
<h3>Answer:  $7,853.16</h3>

Work Shown:

A = P*(1+r/n)^(n*t)

A = 4750*(1+0.10/2)^(2*10)

A = 12,603.164099436

A = 12,603.16

That represents the account balance after 10 years. To find the interest only, subtract off the deposit amount.

interest = A-P = 12,603.16 - 4,750 = 7,853.16

6 0
2 years ago
63 is 90% of what number? In number line
Reika [66]
63/x=90/100
5670=100x
56.7
7 0
3 years ago
On a survey eight students reported how many minutes it takes them to travel to school here are there responses 9, 11, 3, 14, 14
Triss [41]

Hi!

The answer to your question is 9.75 minutes

Here is the math to prove it:

9+11+3+14+14+7+14+6=78

Now you will take 78 and divide it by 8

This is because when finding the mean you add all of the given number together and then divide them by the amount of number added together.

78/8=9.75

Thus, your answer is 9.75 minutes

I hope this helped!

Have a wonderful day/night!

God bless!

8 0
2 years ago
After a 12% pay raise now earning 31,360 what was the salary before the raise
castortr0y [4]
X + 0.12x = 31360
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x = 31360/1.12
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3 0
3 years ago
Approximately 3 out of every 25 Americans live in California. About 3 out of every 50 Americans live in New York, and about 2 ou
svet-max [94.6K]

Convert all statistics into percentages:

CA: 3/25=0.12 -> 12%

NY: 3/50=0.06 -> 6%

TX: 2/25=0.08->8%

(A) Out of the three states, California has the largest population

(B) Out of the three states, NY has the smallest population

(C) USA=100%, CA+NY+TX=26%, therefore 74% of USA do not live on those three states.  

8 0
3 years ago
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