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aleksandr82 [10.1K]

3 years ago

13

Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna warned 14.98 in commission. How much

did arianna selll that day

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

$0.75

Step-by-step explanation:

To find the answer we simply multiply the amount of money earned by the percentage.

So the total amount of money = $14.98

And the percentage = 5%

But I order to calculate this we must first turn the percentage into a decimal. To do this we decide the number of the percentage by 100
In this case that is 5/100=0.05

We can now multiply this by the amount of money to get 0.05*14.98=0.749

We then round our answer to two decimal places (because money can not go past two) to get $0.75

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Plz help asap 25 points

Ierofanga [76]

Answer:

$14.39

Step-by-step explanation:

The formula for continuous compounding of interest is:

A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.

Here we have $2109 = $500e^(10r) and need to solve for r.

To do this, take the natural log of both sides, obtaining:

ln 2109 = ln 500+ 10r.

Then 10r = ln 2109 - ln 500, and

ln 2109 - ln 500

r = --------------------------------------------

10

= .1439

The interest rate was 14.39%.

8 0

3 years ago

Anna enlarged a photo to hang over her fireplace. The new Bh photo is 47.2 inches wide. If the original photo was 3.6 inches tal

blsea [12.9K]

Answer:

28.8 inches tall

Step-by-step explanation:

47.2/5.9 = 8

8(3.6) = 28.8

Dividing the corresponding widths of the photos can help you find the scale factor. After finding the scale factor of 8 you can multiply the height to find the new scaled height of 28.8.

4 0

3 years ago

A canoe rental shop is being built near a river. An equation of the line representing the river is y=14x+8. Each unit in the coo

julsineya [31]

Answer:

412.3 feet

Step-by-step explanation:

A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).

Solution:

The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.

Given a point ( $x_1,y_1$ ) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:

$d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }$

Given the equation of the line y = 1/4 x + 8

y - 1/4 x - 8 = 0

Therefore A = -1/4, B = 1 and C = -8

The point is (-3,3), therefore $x_1=-3,y_1=3$

$d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet$

8 0

3 years ago

Read 2 more answers

Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

6 0

2 years ago

What is the value of x ?enter your answer as a decimal in the box

maksim [4K]

Answer:

$x=67.5\ ft$

Step-by-step explanation:

we know that

Triangles MNP and MAB are similar by AAA theorem

If two figures are similar, then the ratio of its corresponding sides is equal

so

$\frac{MB}{MP}=\frac{MA}{MN}$

substitute the values

$\frac{x}{97.5}=\frac{71.5-22}{71.5}$

$\frac{x}{97.5}=\frac{49.5}{71.5}$

$x=97.5*\frac{49.5}{71.5}=67.5\ ft$

4 0

3 years ago