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3 years ago

Determine how much simple interest you would earn on the following investment:

Mathematics

1 answer:

motikmotik3 years ago

8 0

Answer: $3,484 (I hope this is the correct way to do it)

Step-by-step explanation:

The formula is: $SI=\frac{PRT}{100}$

SI = simple interest
P = principal amount = $13,400
R = interest rate (in percentage) = $6\frac{1}{2}$ % = 6.5%
T = time duration (in years) = 4 years

$SI=\frac{13400*6.5*4}{100} =\frac{13400*26}{100} =\frac{348400}{100} =3484$

If you want to find the total amount, add the principle amount and the interest.

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16^3x+8^x+6 Could you please give me the steps as well for this problem?

BARSIC [14]

Answer:

x = 2

Step-by-step explanation:

$16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} -->$ (16 = $2^{4}$ and 8 = $2^{3}$ )

$2^{12x} = 2^{3x+18}$

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2

8 0

3 years ago

I need to find the value of X

nirvana33 [79]

Answer:

17.7

Step-by-step explanation:

This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.

100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540

190 +19x + 13 = 540

203 + 19x = 540

19x = 337

x = 17.7

3 0

3 years ago

The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the t

Black_prince [1.1K]

Answer:

706.95in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

The trash can has a cylindrical shape

The distance from the center to the edge is the radius r= 15in

Step two

Area of top (circular ) = πr²

A= 3.142*15²

A= 3.142*225

A= 706.95in²

5 0

3 years ago

Factorise fully 9x^2 - 16y^2

dsp73

Note: a² - b² = (a-b)(a+b)

9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)

4 0

3 years ago

at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

$3x=y$ ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of $(x+y)$ miles per minute.

$Distance=Speed\times Time$

The distance between both train in 15 minutes is represented by $15(x+y)$ .

According to the given information the distance between trains is 30 miles in 15 minutes.

$15(x+y)=30$

$x+y=2$

Use equation (1) and put $y=3x$

$x+3x=2$

$4x=2$

$x=0.5$

Put this value in equation (1), to find the value of y.

$y=3(0.5)$

$y=1.5$

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0

3 years ago