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2 years ago

4

Mario buys a car for $25,000. Its value depreciates (decreases) 8% each year. After how many years will it be worth less than $1

0,000?
11

9

10

8

1 answer:

NISA [10]2 years ago

6 0

Answer:

the answer is 8

Step-by-step explanation:

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A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. On alloy is 30%

tensa zangetsu [6.8K]

Answer:

He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

Step-by-step explanation:

Let x = mass of 30% ally.

Let y = mass of 10% alloy.

He needs 4 kg of alloy, so the first equation, dealing with masses, is

x + y = 4

Now we deal with the amount of gold.

He uses x mass of 30% gold alloy. The amount of gold in that mass is 0.3x.

He uses y mass of 10% gold alloy. The amount of gold in that mass is 0.1y.

The total mass of gold is 0.3x + 0.1y. We are told the told the end alloy is 4 kg of 15% gold alloy. That contains 0.15(4) kg = 0.6 kg of gold.

The second equation is

0.3x + 0.1y = 0.6

Now we put together the two equations as a system of equations.

x + y = 4

0.3x + 0.1y = 0.6

Multiply both sides of the second equation by -10.

-3x - y = -6

Add this equation to the first original equation.

x + y = 4

+ -3x - y = -6

---------------------

-2x = -2

x = 1

Now substitute x = 1 in the first original equation and solve for y.

x + y = 4

x + y = 4

y = 3

Answer: He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

6 0

2 years ago

A cube with a side 1 m long has been cut into cubes of a side 1 dm each. all small cubes have been put one on top of the other,

Ivenika [448]

First, we have to find how many small cubes formed by the large cube.
To find the number of small cubes, we should calculate the volume of each large cube and small cube. Equalize the volume units to dm³

Dimension of large cube
s = 1 m
s = 10 dm

Volume of large cube
v = s³
v = 10³
v = 1,000 dm³

Dimension of small cube
s = 1 dm

Volume of small cube
v = s³
v = 1³
v = 1 dm³

Second, calculate the number of small cubes formed
n = volume of large cube / volume of small cube
n = 1,000 dm³ / 1 dm³
n = 1,000
There are 1,000 small cubes.

Third, calculate the height of the structure.
The structure is formed by 1,000 cubes. Each of them is 1 dm high.
The height of the structure is
h = 1 dm × 1,000
h = 1,000 dm
h = 100 m
The height of the structure is 1,000 dm or 100 m

8 0

2 years ago

In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18

Afina-wow [57]

Answer:

The correct explaination is Point G can be the centroid because 12:6 equals 2:1

Step-by-step explanation:

Given in triangle ABC, the segments drawn from vertices intersect at point G.

Segment FG measures 6 cm and and segment FC measures 18 cm.

FG = 6 cm & FC = 18 cm

and also FC = FG + GC

18 = 6 + GC ⇒ GC = 12

Note: The centroid divides each median in a ratio of 2:1

& 12:6 give rise to 2:1

Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1

7 0

2 years ago

Read 2 more answers

Sam is thinking of retiring from his job after many years of faithful service. During the last 35 years at his job, his annual s

mafiozo [28]

The answer is 1.
Because i said so

8 0

2 years ago

Read 2 more answers

Consider the curve y=4x-x^3 and the chord AB joining points A(-3, 15) and B(2, -15) on the curve. Find the x- and y-coordinates

Elis [28]

We are asked to find the coordinates of the points where the slope of the curve is equal to the slope of the chord AB. We are given the coordinates of A and B. We can use these and the slope formula to find the slope of the chord.

Recall the slope formula is: $m= \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$
We label the points as follows (note that you could change the way you label the points as you will get the same slope regardless of what point is designated with the 1s and which is designated with the 2s).
$A=( x_{1} , y_{1)}=(-3,15)$
$B=( x_{2} , y_{2}=(2,-15)$
Plugging these into the slope formula yields: $m= \frac{-15-15}{2--3 }= \frac{-30}{5} =-6$
The slope of the chord is -6

Next consider the curve $y=4x- x^{3}$ . We can find the slope of the curve by taking the first derivative. Thus, the slope of the curve is given by: $y^{'} =4-3 x^{2}$

Let us set the slope of the curve equal to -6 to find the points (x,y) where the chord and the curve have the same slope.

That is, $-6=4-3 x^{2}$
$3 x^{2} =10$
$x^{2} = \sqrt{ \frac{10}{3} }$
$x= \sqrt{ \frac{10}{3} },x= -\sqrt{ \frac{10}{3} }$

We now have the x-coordinates of the points at which the slope of the chord equals that of the curve. To find the y-coordinates we substitute the values we found for x in the original equation as follows:

$y=4( \sqrt{ \frac{10}{3} }) -( \sqrt{ \frac{10}{3} }) ^{3} =4( \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} }$
and
$y=4( -\sqrt{ \frac{10}{3} }) -(- \sqrt{ \frac{10}{3} }) ^{3} =-4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} }$

Thus the two points we seek (x,y) are:
$( \sqrt{ \frac{10}{3} }, 4( \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} } )$
and
$( -\sqrt{ \frac{10}{3} }, -4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} } )$

4 0

2 years ago