which logarithmic equation is equivalent to this exponential equation?​

Answer: See explanation

Step-by-step explanation:

Sita bought a sofa set for Rs 30,000 and sold the sofa set at a loss of 5%. The loss on the sofa will be:

= 5% × 30000

= 5/100 × 30000

= 0.05 × 30000

= 1500

Selling price of the sofa = 30000 - 1500 = 28500

Sita bought a dining set for Rs 20,000 and made a profit of 5% on the dining set. The selling price of the dining set will be:

= 20000 + (5% × 20000)

= 20000 + (0.05 × 20000)

= 20000 + 1000

= 21000

The cost price of the sofa and dining set will be:

= Rs 20000 + Rs 30000

= Rs 50000

The selling price of the dining set will be:

= Rs 28500 + Rs 21000

= Rs 49500

The net result of the transaction is will be:

Selling price - Cost price

= 49500 - 50000

= -500

There's a net loss of $500

Answer:

181

Step-by-step explanation:

Area of a semicircle: 1/2 (pi • r^2)

1/2(3.14 • 100)

1/2 ( 314 )

157

Triangle:

(6 • 8) ÷ 2

48 ÷ 2

24

Add the area of the triangle & semicircle together: 157 + 24 = 181

Hope this helps! Have a great day!

Answer:

Step-by-step explanation:

Answer:Decay

Step-by-step explanation: because of perenthesis

Answer:

7300    

  Step-by-step explanation:

I got it right  

Melanie would need to invest an amount of $7300.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

The final amount in a compound interest can be calculated using the formula,

A = P (1 + [tex]\frac{r}{n}[/tex] )^(n t)

Here A is the final amount, P is the principal value, r is the rate of interest, n is the number of times interest is compounded per year and t is the number of years.

Given,

A = $19,600

r = 5.2% = 5.2/100 = 0.052

Since it is compounded monthly, n = 12

t = 19 years

Substituting,

19,600 = P (1 + [tex]\frac{0.052}{12}[/tex])^ (12 × 19)

19,600 = P (1.0043)^(228)

19,600 = P (2.68)

P = 19,600 / 2.68

P = 7313.0767 ≈ 7300 to the nearest hundred

Hence the value of the account will reach $19,600 n 19 years if she invest an amount of $7300.

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Answer:

27

Step-by-step explanation:

19+x/2=23

19+x=46

x=27

or 19-23=4

23+4=27

The length of the other base of the trapezoid is 27 meters.

A trapezoid is a polygon with four sides, it has one pair of parallel sides.

The length of the base of a trapezoid is 19 meters.

The length of the median is 23 meters.

The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.

The value of median is half of the bases added together.

Median = (1/2) ( Base₁ +  Base₂)

Substituting the values in the formula to obtain the value of the other base.

Let x be the length of the other base,

23 = (1/2) * ( 19 + x)

23 *2 = 19+x

46 = 19 +x

x = 27 meters

The length of the other base is 27 meters.

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Answer:

Your answer is 0.300 rounded to the thousands place.

Step-by-step explanation:

Hope this helps!

Answer:

The area is 2,600 cm^2

Step-by-step explanation:

The area of a rectangle is the product of its sides

And the difference between both areas is 1,400 cm^2 (P-Q)

Thus, we have it that;

40(3x-10) - (30(x + 15)) = 1,400

120x - 400 - 30x - 450 = 1400

120x -30x -400-450 = 1400

90x - 850 = 1400

90x = 1400 + 850

90x = 2,250

x = 2,250/90

x = 25

The area for painting P

is;

40 (3x - 10)

Substituting the value 25 for x

we have

40 ( 3(25) -10)

= 40(75-10)

40 * 65 = 2,600 cm^2

Answer c

Step-by-step explanation:

they have to be equivalent

Answer:

x=35

Step-by-step explanation:

We know that sum of angles in a triangle=180

120

o

+25

o

+x=180

145

o

+x=180

o

x=35

o

-12 and 2

-12×2= -24

-12+2= -10

Answer:

Yo the answers B

√3/2

Step-by-step explanation:

Answer:

52.36

Step-by-step explanation:

Formula to find volume in a cone is

V = pi • radius^2 h/3

So we fill in the numbers

V = pi •

the radius is half of diameter,

The diameter is 5

So it's

V = pi • 2.5

since it's half of 5

V = pi • 2.5^2 h/3

the height is 8 so we fill it in

V = pi • 2.5^2 8/3

When calculated, you get..

52.36

The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]

Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.

Here, the diameter of the cone is 5 cm. thus the radius of the cone is,

[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]

The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,

[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]

Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

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Answer: 4.19

v = 4/3 * 3.14 * 1^3

v = 4/3 * 3.14

v = 4.19

Answer:

Rachel would need 45cm of tape to wrap 15 presents.

Step-by-step explanation:

Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.

Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.

I hope this helps you in any way.

Answer:

What percent of 9 is 18 = 200% and for the second part it is B.

Step-by-step explanation:

I just know that is the answer.

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

Answer:

x12

Step-by-step explanation:

(x*x*x*x*x) *(x*x*x*x*x*x)

Answer:

100 + 50m = 250

50m = 250 - 100

50m/50 = 150/50

m = 3

Alyson will have to save for 3 months to have a total of $250.

Answer:

1) 4 × 4× 4 = 64

2) 6⁴ = 1296

3) 25 = 25

4) 5² = 2

3) 3⁴= 81

The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.

The equation is  

d

=

12.5

×

t

Explanation:

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

25

miles

÷

2

hours

=

12.5

miles

hour

A direct proportionality will always result in an equation that resembles this:

y

=

k

x

where  

y

and  

x

are the related quantities and  

k

is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)

Answer:j

Step-by-step explanation:

Answer:

25x + 50y <= 500

Answer:

132.4

Step-by-step explanation:

Answer:

A bc it show that it travels 25 miles to the hour.

In other words Miles per hour= 25 to 1 hour

Step-by-step explanation:

Hope this helps :)

Answer:

5,136

Step-by-step explanation:

because 1,712×3=5,136

Answer:

21

Step-by-step explanation:

3+(a+4)(8-b)

3+(5+4)(8-6)

3+(9)(2)

3+18

21