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3 years ago

15

Bernie has $16000 invested, part at 3% and the remainder at 5%. If the yearly interest on each investment is the same, how much

interest does he receive each year?

1 answer:

Snowcat [4.5K]3 years ago

3 0

If the interest is the same for both accounts then:

.03x=.05(16000-x)

.03x=800-.05x

.08x=800

x=10000, since the interest is the same for both we can just double the interest from one investment to find the total interest earned each year...

.03(10000)2=$600.00

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A professor has eight different tasks to assign, one to each of her eight teaching assistants. In how

insens350 [35]

Answer:

40320

Step-by-step explanation:

There are 8 different people we could assign to the first task. Now there are 7 tasks and 7 people left. There are 7 different people we could assign to the next task. And so on

8 *7*6*5*4*3*2*1

8!

40320

8 0

4 years ago

how much time does it take for a bird flying at a speed of 45 km per hour to travel distance of 1800 km

Andrew [12]

Answer:

40 hours

Step-by-step explanation:

1800 divided by 45 equals 40 hours. To check your answer you can do 45 times 40.

Hope this helped.

3 0

3 years ago

Read 2 more answers

The height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters. The height of a second right circula

melomori [17]

Answer:

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3><h3>Hence $V_2=3\times V_1$ </h3>

Step-by-step explanation:

Given that the height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters.

Let $h_1,r_1$ be the height and radius of the first right circular cylinder respectively.

∴ $h_1=6 cm$ and $r_1=3 cm$

The height of a second right circular cylinder is 18 centimeters and its radius is 3 centimeters.

Let $h_2,r_2$ be the height and radius of the second right circular cylinder respectively.

∴ $h_1=18 cm$ and $r_1=3 cm$

<h3>To find the volume of the second cylinder is how many times as large as the volume of the first cylinder :</h3>

The formula for Volume of right circular cylinder is

$V=\pi r^2h$ units

The Volume of first right circular cylinder is

$V_1=\pi r_1^2h_1$

Substitute the values in the formula we get

$V_1=\pi (3^2)(6)$

$V_1=\pi (9)(6)$

$=54\pi$ units

∴ $V_1=54\pi$ units

The Volume of second right circular cylinder is

$V_2=\pi r_2^2h_2$

Substitute the values in the formula we get

$V_2=\pi (3^2)(18)$

$V_2=\pi (9)(18)$

$=162\pi$ units

∴ $V_2=162\pi$ units

From the volumes $V_1 and V_2$ we get

$\frac{V_2}{V_1}=\frac{162\pi}{54\pi}$

$=3$

$\frac{V_2}{V_1}=3$

∴ $V_2=3\times V_1$

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3>

8 0

3 years ago

Read 2 more answers

The sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. find the numbers. write your

lions [1.4K]

Translating that problem with x being our variable you get 3x + 5x-11 = 15. Combine like terms to get 8x-11 = 15. Add 11 to both sides to get 8x = 26. Divide by 8 on both sides to get x = 26/8. This can be reduced to 13/4 or 3 and 1/4.

Now we plug in. Our first number was represented by 3x. So 3*(13/4) = 39/4 or 9 and 3/4. The second number was represented by 5x-11. 5*(13/4) = 65/4 or 16 and 1/4. 16 and 1/4 minus 11 is 5 and 1/4.

To check our answer 9 + 5 = 14. 3/4 + 1/4 = 4/4 or 1. 14+1 = 15. Another way to check is adding (39+21)/4.

So your complete sentence should read: The two numbers whose sum equal 15 in this equation are 5 and 1/4 (or 21/4) and 9 and 3/4 (or 39/4).

6 0

3 years ago

a car travels 30 1/2 miles in 2/3 of an hour. what is the average speed, in miles per hour, of the car ?

Contact [7]

Answer:

speed=225.75 miles per hour

Step-by-step explanation:

given:

s=301/2

t=2/3

we have,

v=s/t

v=(301/2)/(2/3)

=(301/2)×3/2

=903/4

v=225.75

therefore, speed of car will be 225.75 miles per hour

6 0

3 years ago