0.1 is 10 times as much as what ?

An investment of $100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year.

Artist 52 [7]

Answer:

$54000 was invested at 8% interest
$36000 was invested at 6% interest
$10000 was invested at 9% interest

Step-by-step explanation:

Total Investment = $100,000

The investment was split into three parts (say x, y and z)

x+y+z=100000

Simple Interest = Principal X Rate/100 X Time

The first part of the investment earned 8% interest

Interest on the first part = 0.08x

The second part of the investment earned 6% interest

Interest on the second part = 0.06y

The third part of the investment earned 9% interest

Interest on the third part = 0.09z

Total interest from the investments = $ 7380.

Therefore:

0.08x+0.06y+0.09z=7380

The interest from the first investment was 2 times the interest from the second.

0.08x=2 X 0.06y

0.08x=0.12y

Substituting we have:

0.12y+0.06y+0.09z=7380

0.18y+0.09z=7380

From 0.08x=0.12y

x=1.5y

Substituting x=1.5y into x+y+z=100000

1.5y+y+z=100000

2.5y+z=100000

z=100000-2.5y

Substituting z=100000-2.5y into 0.18y+0.09z=7380

0.18y+0.09(100000-2.5y)=7380

0.18y+9000-0.225y=7380

-0.045y=-1620

Divide both sides by -0.045

y=36000

Recall: x=1.5y

x=1.5 X 36000

x =54000

x+y+z=100000

54000+36000+z=100000

z=100000-(54000+36000)

z=10,000

Therefore:

$54000 was invested at 8% interest
$36000 was invested at 6% interest
$10000 was invested at 9% interest

3 0

3 years ago

Find the number of tiles required to be put in a floor with dimensions 25 m x 20 m. Each tile is a rhombus with side 25 cm altit

Romashka-Z-Leto [24]

Answer:

8000

Step-by-step explanation:

Area of floor=25×20m

=500²

Area of each tile=area if each rhombus

=25×25=625cm²

No. of tiles required= area of floor/ area of each tile

=500×104⁴/ 625

=4/5 ×10×1000

=8000

hope it helps!

6 0

2 years ago

. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a

crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, A = 24 ft².

The base height of the garden are:

base (b) = 6x - 4

height (h) = x + 3

Compute the value of x as follows:

$A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\$

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$

The value of base and height are:

$\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}$

Thus, the base and height of the garden are 4.60 ft and 5.60 ft.

3 0

3 years ago

A powered by B equals B powered by A. A does not equal B. What's A and what's B?

MrRissso [65]

Answer:

Step-by-step explanation:

I know that there is a zero and a 1 involved in this somewhere. The only answer I can get which is a bit of a cheat, is

1^0! = 0!^1

These are not exactly the same thing. The trouble is that they are equal. There is a difference between "not the same thing" and "equal."

If I think of something else, I'll put it in a comment.

7 0

3 years ago

A survey of students in a school showed 1/2 of the students exercise regularly, 2/5 of the students exercise occasionally and th

Rashid [163]

Answer:

1/10 do not exercise at all.

Step-by-step explanation:

That would be 1 - 1/2 - 2/5

= 10/10 - 5/10 - 4/10

= 1/10.

5 0

3 years ago