I am confused about 11.

An item costs $76.49 and the tax is $5.74. What is the percentage of the tax for this item?

Alinara [238K]

Answer:8.11%

Step-by-step explanation:

Before Tax Price: $70.75

Sale Tax: 8.11% or $5.74

After Tax Price: $76.49

3 0

3 years ago

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Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%

tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

P is the initial amount of money
r is the interest rate in decimal
t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

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3 0

2 years ago

F(x)=(1/4)^x <br><br> what is the <br> y-intercept<br> common ratio

Vesna [10]

See attached graph.

The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.

The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.

6 0

3 years ago

One-fifth of the sum of the numerator and the denominator of a particular fraction is8. If the numerator is subtracted from 22,

Alex_Xolod [135]

Answer:

The original fraction is 13/27

Step-by-step explanation:

Let the fraction be x/y. This means that the numerator is x and the denominator is y.

One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that

1/5 (x+y) = 8

Cross multiplying with 5,

x+y = 5×8 = 40 - - - - - - - -1

If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that

(22-x)/y = 1/3

Cross multiplying with y and 3,

3(22-x) = y×1

66-3x = y - - - - - -2

Substituting y = 66-3x into equation 1, it becomes

x + 66 - 3x = 40

x -3x = 40-66

-2x = -26

x = 26/2 = 13

y = 40 - x = 40 - 13

= 27

The original fraction is 13/27

8 0

3 years ago

Find the unknown side length of the rectangle if its area is 11 square feet.

expeople1 [14]

Answer:

3

Step-by-step explanation:

- Area of rectangle = length * width

$11 = 3\frac{2}{3} *w\\\\- rearrange and divide\\ 11 \\ by \\\\ 3\frac{2}{3}\\\\ = 3$

6 0

2 years ago

Read 2 more answers