Carmen returned a bicycle to Earl's Bike Shop. The sales receipt showed a total paid price of $\$211.86$, including the $7\%$ sales tax. What was the cost of the bicycle without the sales tax?

Answers

Answer 1

Answer:

$198

Step-by-step explanation:

Given that:

Sales price on the sales receipt (including the sales tax) = $211.86

Sales tax = 7%

To find:

The cost of the bicycle without the sales tax = ?

Solution:

First of all, we will have to let the cost of bicycle without the sales tax.

Let the cost of bicycle without the sales tax = $[tex]x[/tex]

Cost of bicycle without the sales tax and with sales tax is given as equal to $211.86.

Writing the equation as per question statement:

[tex]x+x\times 7\%=\$211.86\\\Rightarrow \dfrac{107}{100}x=\$211.86\\\Rightarrow x=\dfrac{21186}{107}\\\Rightarrow \bold{x = \$198}[/tex]

Therefore, the cost of bicycle without the sales tax = $198


Related Questions

A car dealership sold 120 cars in April. The dealership wants to increase the number of cars sold by 15% in May. How many cars will the dealership need to sell to reach their goal?

Answers

Answer:

138

Step-by-step explanation:

120+15%=138

Answer:

138

Step-by-step explanation:

PLS AMSWER ASAP I WILL MARK BRAINLIEST DONT ANSWER IF YOUR NOT SURE THIS IS DUE VERY SOON

Answers

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

solve the equation 4x-2(x+3)=8

Answers

Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

Answer:

X=7

Step-by-step explanation:

4x-2(x+3)=8

4x-2x-6=8

2x=8+6

2x=14

X=7

How is locating -1.5 on a number line the same as locating 1.5 on a number line How is it different?​

Answers

Locating -1.5 on a number line is the same as locating 1.5 because both numbers are the same distance from zero, but in opposite directions. The numbers also have the same absolute value.

Locating -1.5 and 1.5 is different because -1.5 can be found to the left of zero (because it is a negative number) while 1.5 is found to the right of zero (because it’s a positive number).

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?​

Answers

Answer:

D would be the actual answer.

Step-by-step explanation:

Help Me on this palzz

Answers

Answer:

That should be 11.99+35.50+6.75+3+ 7.15% of EACH of those items added together minus 11.99+35.50+6.75+3+ 6.35% of EACH of the same items added together

Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?

Answers

Answer:

2.576

Step-by-step explanation:

Given :

Confidence level (α) = 99%

Z(1 - α)/2 = Z(1 - 99%)/2

Z1%/2 = Z1%/ 2

Z0.5% = Z0.005

Z(0.99 + 0.005) = Z0.995

Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57

Similarly, using the Invnorm calculator function :

Invnorm(0.995) gives a Zscore of :

2.576

If $620 is invested at 6% per
annum, how long will it be until
it reaches $713?​

Answers

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount. r is the interest rate, as a decimal.

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

For more on simple interest, you can check https://brainly.com/question/25781328

this is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20

Answers

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

[tex]5p^{2}[/tex]-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

A cake was cut into 12 equal pieces. Someone ate part of the cake so that 3/4 of the cake remains. How many 1/12 pieces are left?

Answers

Answer:

Nine pieces

Step-by-step explanation:

If you multiply the 3/4 pieces until the denominator is equal to twelve the numerator would be nine

8.
Say that you (or your parents) are purchasing a house for $235,000 and have an excellent credit score. If you pay $1,678.93 at the end of
the first month, how much is applied to the principal balance?
Credit
Excellent
Good
Average
Fair
Poor
Secured
APR (%)
4.75
5.00
5.85
6.40
7.50
Unsecured
APR (%)
5.50
5.90
6.75
7.25
8.40
$616.29
$685.25
$748.72
$721.19

Answers

Answer:

The correct answer is 748.72

Step-by-step explanation:

$748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

What is principal amount?

The loan amount that the lender gave to the borrower is referred to as the primary amount. Also, it is the factor the lender uses to calculate interest.

Please be aware that the amount you pay toward your loan's principal is without the interest that is charged on that amount. Your lender determines how much interest customers will pay over a specific length of time based on the amount still owing. The principle amount is simply the amount you owe their lender before interest.

principal amount =  4.75% of  $1,678.93

                           =  4.75% ×  $1,678.93

                           = $748.72

Therefore, $748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

To know more about principal amount, here:

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A rectangular poster is 50 cm long and 25 cm wide. If 1 cm is approximately .4 inches What is the perimeter of the poster

Answers

It will be 600in or 150cm.
Reason is perimeter is just adding up the sides so if you wanna find it in inches then you multiply 4 by each side and if it’s just cm then just add them all up

Candice scored 74 on an exam that had a mean of 66 and a standard deviation of 4. Erin scored 58 on an exam with a mean of 42 and a standard deviation of 7. Who scored better?

Answers

Answer:

Erin

Step-by-step explanation:

Z score formula:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Candice:

Z score = 74 -66/4

Z score = 2

For Erin

Z score = 58 - 42/7

Z score = 2.28571

Erin z score is larger hence, he did better

Quiz 2: percent and percentage

solve: 24% of 80=

A. 19.2
B. 38.4
C. 192
D. 384​

Answers

Answer:

Answer: 19.2

Step-by-step explanation:

To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.

Find the value of P for which the inflows will equal the outflows. Find the effective rate first.


Rate 8% p y c d
Year Outflows Inflows
0 -P
1 -2P
2 -4P
3 -8P
4 -16P
5 $24,000
6 $30,000
7 $36,000
8 $42,000
9 $48,000
10 $54,000

Answers

Answer:

The answer is "p= $5,246".

Step-by-step explanation:

Using formula:

Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)

[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]

[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]

What quadrant is the
ordered pair (2,-3) in?

Answers

Answer:

quadrant 4

Step-by-step explanation:

The quadrant paired with (2,-3) is quad 4

15.4: Ordering Percentages of Different Numbers Order from least to greatest: 65% of 80 36% of 125 82% of 50 170% of 30

Answers

Answer:

82% of 50 (41) 36% of 125 (45) 170% of 30 (51) 65% of 80 (52)

Step-by-step explanation:

BRAINLIEST PLS

A rectangle is 1/2 red, 1/5 green and 1/10 blue. The rest is yellow. What ratio of the rectangle is yellow? PLEASE HELP

Answers

The last ratio would be 2/10 for yellow.

a circle has a radius o 12 inches, what is its diameter

Answers

Answer:

24

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.

A submarine is -18 feet below the surface of the ocean. The submarine then dove to a depth of -50 feet below the surface of the ocean. What was the change in depth?

Answers

Answer:

-32ft

Step-by-step explanation:

Given parameters:

Original depth of the submarine  = -18ft

New depth  = -50ft

Unknown:

Change in depth = ?

Solution:

 The change in depth will be the difference in depth between the new and original depth.

 Change in depth = New depth  - original depth

  Change in depth  = -50ft - (-18ft) = -32ft

The change in depth of the submarine is -32ft.

Recall that you algebraically find the intersection point of two lines by setting their equations equal to each other and solving for the x-coordinate of intersection. Then substitute to find the y-coordinate. Algebraically determine the intersection point of y = 6x-27 with y = 2x – 7.​

Answers

Answer:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 27[/tex]

[tex]y = 2x - 7[/tex]

Required

Determine the point of intersection

We simply equate both equations; i.e.

[tex]y = y[/tex]

or

[tex]6x - 27 = 2x - 7[/tex]

Collect Like Terms

[tex]6x - 2x = 27 - 7[/tex]

[tex]4x = 20[/tex]

Solve for x

[tex]x = 20/4[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]y = 2x - 7[/tex]

[tex]y = 2 * 5 - 7[/tex]

[tex]y = 10- 7[/tex]

[tex]y = 3[/tex]

Hence, the point of intersection is:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?

Answers

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

please help! i need this answer i just cant figure it out

Answers

I think it's b. Not completely sure though. I hope you get it right though. If i happen to be right i would love to be picked brainliest.

For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form. 8 6 5 183 4 3 2 1 3 -3 - 3 -10 -98 lo S 910 f(x), red line: g(x), blue line: m= h(x), green line: m = Check Answer Next Question Question 6 of 8 POWER ? XKNEWTON ! Turn it in Save & Close O E e​

Answers

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.

The beginning balance in a person's savings account was 3900 dollars. After making a withdrawal of 300 dollars but earning interest of 14 dollars, what was the new balance in the account?
Balance: _____ Dollars​

Answers

Answer:

The answer is 3,614. If you have 3900 dollars and withdraw ( take away) 300 you subtract, and you EARN 14, so you add.

Step-by-step explanation:

The reasoning is in the calculator picture attached

Emilie rides her bike x miles before she gets a flat tire. She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles. Which expression shows how many miles Emilie travels in all?

Answers

Answer there is no choice, but it is x+1/3+2 1/2.

Step-by-step explanation:

Answer:

The answer is x + 2 5/6.

Step-by-step explanation:

Emilie rides her bike x miles before it gets a flat tire.

She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.

The equation would be:

x + 1/3 + 2 1/2

But, since that isn't an option, we have to simplify the equation.

x + 1/3 + 5/2

= x + [tex]\frac{2+15}{6}[/tex]

= x + 17/6

= x + 2 5/6

Thus, the answer is x + 2 5/6.

Find all angles between 0 and 2pi satisfying the condition cosx=-1/2

Answers

You can find the angles using the unit circle. You can also find the angle using algebra.

I want to show you the algebra way.

Since cos(x) = cos(2•pi - x), this leads to two equations.

The two equations are as follows:

cos (x) = -1/2...the given problem.

We also have cos (2•pi - x) = -1/2.

To isolate x for both trigonometric equations, use the inverse trig function idea.

Equation 1

arccos(cos x) = arccos (-1/2)

x = 2•pi/3

Equation 2

arccos(cos (2•pi - x)) = arccos (-1/2).

Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.

When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.

As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.

Answer: 2•pi/3, 4•pi/3

please help me out -4x – 6 – 2x –3​

Answers

The lowest I could go was -6x - 9. (Hope that helps)

Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4​

Answers

Answer:

C

Step-by-step explanation:

The expression that uses the commutative property is 3/5 × 25 × 1/4

What is the commutative property?

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Given is an expression 3/5 × 1/4 × 25

We know that,

The commutative property of multiplication states that:

A × B × C = B × C × A

Using the above equation, we have the result of the commutative property to be:

3/5 × 1/4 × 25 = 3/5 × 25 × 1/4

Hence, the expression that uses the commutative property is 3/5 × 25 × 1/4

Read more about commutative property at

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work out (10-3 x 2) to the power of 2

Answers

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

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