A car rental advertised a car for $27.95 per day and $0.26 per mile. If someone rents the car for 4 days how many whole miles can he drive in a $150 budget
(Round down to the nearest whole mile)

Total income for Minimum salary: $160 and Commission: 53% on $2900 will be  $1,697.

A salary is a set earnings that an employee normally gets on a weekly, biweekly or month-to-month foundation. A Commission is greater earnings an worker earns once they promote items or services.

We had given the minimum salary of $160 which will be fixed and not depend on the earning of the commission.

Now As given the sale of $2900 and the commission percentage of 53%

∴ Total Commission will be = [tex] \frac{2900\ (53)}{100} [/tex]

∴ Total Commission = 29 (53).

∴ Total Commission = $ 1,537

∴ Total Income will be the addition of base/minimum salary and the commission in total.

∴ Total income will be $160 + $1,537

∴ Total income = $1,697.

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Answer:

(8,4) 8 is on the x axis and 4 is on the y axis

Answer:

1

Step-by-step explanation:

I like visiting other prisons people up when they are down in the class for lunch

The equation of the line in the form y = mx + b are as follows:

The equation of a line can be found as follows:

Using the slope intercept form,

y = mx + b

where

Therefore, let's find the slope using the table.

(-4, 13)(-3, 11)

m = 11 - 13 / -3 + 4

m = - 2 / 1

m = -2

Let's find the y-intercept using (-4, 13)

13 = -2(-2) + b

13 - 4 = b

b = 9

Therefore, the equation of the line is y = -2x + 9

Using the second table,

(0, -3)(2, 1)

m = 1 + 3 / 2 - 0

m = 4 / 2

m = 2

y-intercept = b = -3

Therefore,

the equation of the line is y = 2x - 3

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Answer:

a1=7

an=an-1+4

a2=a2-1+4

a2=a1+4

a2=7+4

a2=11

a3=a3-1+4

a3=a2=+4

a3=11+4

a3=15

a4=a4-1+4

a4=a3+4

a4=19

a5=23

a6=27

a15=62

The common difference is 4.

The sum is 517.

A woman has a total of $10,000 to invest and she invests part of the money in an account that pays 7 % per year, then she invested $4000 per year.

Simple interest can be said as a quick and simple formula for figuring out how much amount of interest will be charged on a loan. The daily interest rate, the principle, and the total number of days present between payments are multiplied to calculate the simple interest.

A = P (1 + rt)

FINAL AMOUNT = A

P is the starting primary balance.

Annual interest rate is r.

T = time (in years)

According to question,

7/100(x) + 12/100 (10000 -x) = 5900

7x + 120000 - 12x = 90000

30000 = 5x

x = $ 6000

P = 10000 - 600

= $ 4000

Simple interest is a kind of method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate. Simple interest has a constant principal amount. Simple interest is an absolutely clear-cut and simple method in order to compute financial interest.

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The value of the quotient is 1.207

The statement is given as

Divide 306.67 and 254.00

Rewrite the above statement properly

So, we have

Divide 306.67 by 254.00

Rewrite the above statement as a quotient expression

So, we have

306.67/254.00

Express 306.67 as 254.00 + 52.67

So, we have

306.67/254.00 = (254.00 + 52.67)/254.00

Evaluate the quotient of 254 and 254

So, we have

306.67/254.00 = 1 + 52.67/254.00

Evaluate the other quotient

So, we have

306.67/254.00 = 1 + 0.207

306.67/254.00 = 1.207

Hence, the value of the statement "divide 306.67 and 254.00" is 1.207

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We can show z = 1 ± i satisfies the equation [tex]z^2-2z+2=0[/tex] by putting the values of z in the given equation.

z = 1 ± i

Equation:

[tex]z^2-2z+2=0[/tex]

We have to show that z satisfies the given equation.

Complex numbers

A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation [tex]i^2 = -1[/tex]; every complex number can be expressed in the form a + bi, where a and b are real numbers.

Putting z = 1 + i in the given equation, we get

[tex](1+i)^2-2(1+i)+2 = 1 + i^2+2i -2-2i+2[/tex]

= (1 - 1 -2 +2) + (2i - 2i)  

= 0 + 0 = 0

Putting z = 1 - i in the given equation, we get

[tex](1-i)^2-2(1-i)+2 = 1 + i^2-2i -2+2i+2[/tex]

= ( 1 - 1 - 2 + 2) + (-2i+2i)

= 0 + 0 = 0

As we can see that putting z = 1 ± i  in the given equation, we get 0, hence, we have shown that z satisfies the given equation.

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IfIf a 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical .the magnitudes of the tension vectors T  and H is: 6,266.32 lb,  3,085.44lb.

Let T h = H represent the horizontal

Let Tv  represent the vertical components of the vector T

Let W wball represent the weight of the wrecking ball

Hence,

T h =H

Tv = W wball

Where:

T h = T sin 40°

Tv =T cos 40°

Magnitude of the tension vector T:

Tv =4800lb

T=Tv/ cos 40°

T = 4800lb/ cos 40°

T = 4800lb/0.766

T= 6,266.318

T=6,266.32 lb (Approximately)

Magnitude of the tension vector H

W=T  h

T h =(4800lb) sin 40°

T h =(4800lb) 0.6428

H = 3,085.44lb

Therefore we can conclude that tension vector T magnitudes is 6,266.32lb and that of tension vector H magnitudes is 3,085.44lb.

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Answer:

(0,5)(3,4)(4,5)(3,2)(4,3)(3,3)(2,3)

About 200 teddy bears in the store.

Given,

The ratio of the number of dolls to the number of teddy bears is 6:5

and,  The store has 240 dolls.

To find the number of teddy bears are in the store.

Now, According to the question:

Total no. of dolls are 240

The ratio of dolls and teddy bears are 6:5

Then, For dolls

= 240/6 = 40dolls

So, Teddy Bears = 40 × 5 = 200

Hence, About 200 teddy bears in the store.

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Answer:

36x

Step-by-step explanation:

The number of miles that must be driven for the two-day rental from Company B to be less than Company A is 200 miles.

The equation that can be used to determine the total cost of renting from Company A is:

Total cost = (cost per day x number of days) + (cost per mile x number of miles)

($25 x 2) + ($0.25 x m)

$50 + $0.25m

The equation that can be used to determine the total cost of renting from Company B is: ($35 x 2) + ($0.15 x m)

$70 + $0.15m

The equation that can be used to determine the number of miles where it would be cheaper to rent for two days from Company B is:

$70 + $0.15m  < $50 + $0.25m

$70 - $50 < $0.25m - $0.15m

$20 < $0.10m

m < $20 / 0.10

m < 200

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Answer:

2 min

Step-by-step explanation:

18/

Answer: He drove 276b miles with the truck

Step-by-step explanation: 220.19 - 15.95 = 204.24

204.24 / .74 = 276

The number of cups of sugar that is required to make 16 pies is equal to 8 cups.

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

Since the cups of sugar varies directly (direct proportion) with the number of pies, the cups of sugar and number of pies must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = (1 1/2)/3

Constant of proportionality (k) = 0.5 or 1/2

From the above mathematical expression for direct proportion, an equation which models the situation or relationship is:

y = kx

y = 0.5x

Now, we can determine the number of cups of sugar at x = 16:

y = 0.5 × 16

y = 8 cups of sugar.

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Check the picture below.

The money that she earns in total, after paying the vendor fees and repaying her brother's loan is $95.

From the information, Mia borrowed $800 from her brother to start a small business and she then applies to sell her products at a vendor fair.

Also, it should be noted that the vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.

The amount that she will earn after selling $1050. worth of product will be;

= $1050 - Amount borrowed - Entry fee - Percentage on sales

= $1050 - ($800) - $50 - (10% × $1050)

= $1050 - $800 - $50 - $105

= $95

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Hello, the correct answer to your question should be 5.

As seen in the photo below, the sum of the given angle values must equal [tex]180^o[/tex].

Therefore, when we add these two values, we get the number [tex]"38x-10"[/tex]. If we equalize this number to [tex]180^o[/tex], we find the value of our [tex]x[/tex] as [tex]5[/tex].

300 milligrams is 0.3 grams of protein.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

To convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given Data

100 grams of honey  contains about 0.3 grams of protein.

1 gram = 1000 milligrams

To find milligrams in protein:

0.3 grams multiplied by 1000

0.3(1000)

300

300 milligrams is 0.3 grams of protein.

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A scatter plot which best represents the data in the table is scatter plot B.

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the altitude (thousand feet) would be plotted on the x-axis of the scatter plot while the air pressure (pounds per square inch) would be plotted y-axis of the scatter plot as depicted in the image attached below.

In conclusion, we can reasonably infer and logically deduce that scatter plot B best represents the data in the table.

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Answer:

220 meters

Step-by-step explanation:

20 seconds is 5 times larger than 4 seconds, so the distance it runs in 20 seconds should be 5 times longer than 44 meters
so:
20/4 = 5
since x is 5 times larger than 44, set up the equation
5 = x/44
multiply both sides by 44
x= 44 * 5 = 220 meters

Answer:

[tex]f(x)=3x^4+51x^2+48[/tex]

Step-by-step explanation:

As n = 4, the degree of the polynomial is 4.

Therefore, the function cannot have more than 4 distinct roots.

[tex]\implies f(x)=a(x-p)(x-q)(x-r)(x-s)[/tex]

If a complex number z is a root of f(z) = 0 then its complex conjugate is also a root.  Therefore:

[tex]\implies f(x)=a(x-i)(x+i)(x-4i)(x+4i)[/tex]

[tex]\implies f(x)=a(x^2-i^2)(x^2-16i^2)[/tex]

[tex]\implies f(x)=a(x^2-(-1))(x^2-16(-1))[/tex]

[tex]\implies f(x)=a(x^2+1)(x^2+16)[/tex]

Given f(-1) = 102, then:

[tex]\begin{aligned}\implies f(-1)=a((-1)^2+1)((-1)^2+16)&=102\\a(1+1)(1+16)&=102\\a(2)(17)&=102\\34a&=102\\a&=3\end{aligned}[/tex]

Therefore:

[tex]\implies f(x)=3(x^2+1)(x^2+16)[/tex]

[tex]\implies f(x)=3(x^4+17x^2+16)[/tex]

[tex]\implies f(x)=3x^4+51x^2+48[/tex]

The value of x in the equation is 26. 087

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

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Answer:76

Step-by-step explanation:

the median is the middle number but since there was an even amount of numbers, I chose the middle 2 numbers. Since they were the same number they stay as 1 number making the answer 76.

NSWER :

he answer is between 6 and 9

EXPLANATION :

room the problem, we have a graph with distance vs time.

Note that the steeper the line in the graph, the faster the speed or rate.

Looking at the graph, the steepest part is when the time is between 6 and 9

By evaluating the function f(x) = x² - 5 · x, the range of the function is {- 6, - 4, 14}.

In this problem we have a domain, that is, an input set, formed by three natural numbers and a quadratic equation that represents a function that allows us to find the corresponding elements of the range, that is, the output set. The elements of the range are found by evaluating the quadratic equation at each element from domain:

x = 2

f(2) = 2² - 5 · 2

f(2) = 4 - 10

f(2) = - 6

x = 4

f(4) = 4² - 5 · 4

f(4) = 16 - 20

f(4) = - 4

x = 7

f(7) = 7² - 5 · 7

f(7) = 49 - 35

f(7) = 14

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Answer:

x= 13.5(7)

x=94.5

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