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MakcuM [25]
3 years ago
9

A bank loaned out ​$​12,00, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one

year totaled ​$​1,500, how much was loaned at 9%
Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

$7,800 was invested at 9% and $4,200 at 19%.

Step-by-step explanation:

Given that a bank loaned out $ 12,000, part of it at the rate of 9% per year and the rest at 19% per year, if the interest received in one year totaled $ 1,500, to determine how much was loaned at 9% the following calculation must be performed:

12,000 x 0.09 + 0 x 0.19 = 1,080

10,000 x 0.09 + 2,000 x 0.19 = 1,280

8,000 x 0.09 + 4,000 x 0.19 = 1,480

7,900 x 0.09 + 4,100 x 0.19 = 1,490

7,800 x 0.09 + 4,200 x 0.19 = 1,500

Thus, $ 7,800 was invested at 9% and $ 4,200 at 19%.

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Step-by-step explanation:

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4 years ago
You kayak up a river at a rate of 48 feet every 30 seconds. You kayak 423 feet every 3 minutes on the way back down the river. H
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Answer:

You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river

Step-by-step explanation:

Given:

The rate at which you kayak up a river =  48 feet every 30 seconds.

The rate at which you kayak down a river = 423 feet every 3 minutes

To Find:

How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?

Solution:

Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y

Then  

x =\frac{48}{0.5}     [ Converting 30 seconds to 0.5 minutes]

x =  96 feet per minute

Similarly

y =\frac{423}{3}

y = 141 feet per minute

Now the distance kayaked  up the river in 5 minutes

=>\text{speed of kayaking up the river} \times time

=>96 \times 10 ( in 5 minutes there are 10  30 minutes)

=>960 feet

Now the distance kayaked down the river in 5 minutes

=>\text{speed of kayaking down the river} \times time

=>141 \times 5 ( in 5 minutes there are 10  30 minutes)

=>705 feet

Thus

960-705 =  255 feet

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Solution:

<u>We know that:</u>

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<u>Finding the radius:</u>

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<u>Finding the area of the circle:</u>

  • Area of circle = πr²
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