Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Latoya borrowed $19,500 to buy a truck for her business. She borrowed from her parents who charge her 5% simple interest. She borrowed from a credit union that charges 4% simple interest, and she borrowed from a bank that charges 3% simple interest. She borrowed four times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $870. How much did she borrow from each source

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

For this, we shall use the slope formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is  [tex]\frac{rise}{run}[/tex]

Assuming this is a line, all we do is pick two consecutive points and plug them in. For example, let's take the first two points. (1, -4) and (7, 5) as they are the easiest to work with.

Let's plug in these two values:

[tex]\frac{5 - (-4)}{7 - 1}[/tex]

Simplified we get:

[tex]\frac{9}{6}[/tex]

We are now able to factor 3 out of the numerator and denominator:

[tex]\frac{3}{2}[/tex]

Thus resulting in the slope.

Answer:

the answer is #3

Step-by-step explanation:

the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.

Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.

So,

Total cost = fixed cost + variable cost

In our case

Fixed cost = 5

and the variable cost = 0.25 per mile

For m miles variable cost = 0.25*m

Thus,

Total cost = 5 + 0.25*m

C = 5 + 0.25m

therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

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Answer: 1.5625

Step-by-step explanation: just a calculator

Answer:

1.5625

Step-by-step explanation:

Answer:

310.2

Step-by-step explanation:

Answer:

310.2

Step-by-step explanation:

c a l c u l a t o r

9514 1404 393

Answer:

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

  180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

  360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

  S = 180·C²

__

The safe load for C=10 is then ...

  S = 180·10² = 18,000 . . . pounds

Answer: 1/3

Step-by-step explanation:

2/4 and 3/6 can be simplified to 1/2.

1/3 is smaller than 1/2 because it have a larger denominator, but the same numerator.

Multiple 1/3 by 3/3 and you get 3/9, which is smaller than 7/9.  

Answer:

a

Step-by-step explanation:

The linear equation y = -2x is passing through the origin. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = -2x

The y-intercept in the above equation is zero. Then the linear equation is passing through the origin.

The linear equation y = -2x is passing through the origin. Then the correct option is B.

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Answer: Cool

Step-by-step explanation:

Greg is working on a school project

Answer:

noice

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

-11/2+7 3/4

-11/2 + 31/4

= 9/4

= 2 1/4

Answer:

2 1/4.

Step-by-step explanation:

-5 1/2 + 7 3/4

= 7 3/4 - 5 1/2

= 7 - 5 + 3/4 - 1/2

= 2 + 1/4

=  2 1/4.

Answer:

$17 dollars a month and the relationship is 3 apart

Step-by-step explanation:

Answer:

C=4M+13

Step-by-step explanation:

Remember that as the number of movies M increases, the cost C increases too. For each additional movie, the cost increases by $4. This is added to the monthly fixed membership fee of $13.

Answer: Required 99% confidence interval  : (48.30%, 61.7%)

Step-by-step explanation:

Confidence interval for PROPORTION:  [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value  and S.E. = standard error.

As per given: p=55%

Critical z-value for 99% confidence = 2.576

S.E. = 2.6%

Then, required confidence interval :

[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]

Required 99% confidence interval  : (48.30%, 61.7%)

Answer:

The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.

Step-by-step explanation:

Answer: (1, -8)

M = x1 + ×2 / 2 & y1 + y2 / 2

x1 = 10, y1 = -11 x2 = -8 y2 = -5

M = 10 + (-8) / 2 & -11 + (-5) / 2

Answer = 1, -8

Given:

Consider angle S is congruent to angle U.

The angle S is (5x-11) degrees and angle U is (4x+9) degrees,

To find:

The value of x.

Solution:

Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.

[tex]m\angle S=m\angle U[/tex]

Put the given values.

[tex]5x-11=4x+9[/tex]

Subtract 4x from both sides.

[tex]5x-4x-11=9[/tex]

Add 11 on both sides.

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20.

Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

Answer:

m<A = 10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

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Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

Answer:   30%

Step-by-step explanation:

Pie eaten by Anita = 30%

Pie eaten by Bob = 40%

total Pie = 100%

Pie left for by Sheila = 100 - (30 + 40)

                                 =  100 - 70

                                  = 30%

therefore, pie left for Sheila = 30%

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Answer:70%

Step-by-step explanation:

Answer:

V≈84.82

Step-by-step explanation:

V=πr2h

Step-by-step explanation:

formula = y - y1 = m2 ( x - x1)

y - 7 = 0 ( x - (-8))

y - 7 = 0

y = 7

Answer:

C: 12 or 20 feet from the edge

Step-by-step explanation:

We are told the recommended height is 18 feet and that the function describing the height is;

h(x) = -(3/2)|x - 16| + 24

This means that;

-(3/2)|x - 16| + 24 = 18

Multiply through by -2/3 to give;

|x - 16| + 24(-2/3) = 18(-2/3)

|x - 16| - 16 = -12

Add 16 to both sides to get;

|x - 16| = 16 - 12

|x - 16| = 4

Add 16 to both sides to get;

Expanding the absolute value problem, we have;

x - 16 = 4 or -(x - 16) = 4

Thus;

x = 16 + 4 or -x + 16 = 4

x = 20 or x = 16 - 4

x = 20 or x = 12

Since x is the distance along the width of the house, then Terry should place the dish 12 or 20 feet from the edge

The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)

Given that:

[tex]T(x_1,y_1) = (0,5)[/tex]

[tex]M = (1,-2)[/tex] --- the midpoint of ST

[tex]S = (x_2,y_2)[/tex]

To calculate the coordinates of S, we use the following midpoint formula:

[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]

Divide both sides by 0.5

[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]

[tex](2,-4) = (x_2,5 + y_2)[/tex]

Compare both sides

[tex]x_2 = 2[/tex]

[tex]5 + y_2 = -4[/tex]

Collect like terms

[tex]y_2 = -4-5[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of S is:

[tex]S = (2,-9)[/tex]

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Answer:

Rebecca's overtime rate is $20.25 per hour

Step-by-step explanation:

Rebecca is paid $13.50 per hour as her regular wage.

Her boss pays her that amount and a half for overtime work.

Half of her regular pay rate is 13.50/2= $6.75

Thus, her overtime rate is:

$13.50 + $6.75 = $20.25

Rebecca's overtime rate is $20.25 per hour

1 upon 2

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Answer:

1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow

Step-by-step explanation:

Answer: x=4, x=-4

Step-by-step explanation: because it is absolute value, negative or positive does not matter.

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

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Answer:

Depends on the situation but John Wick

Step-by-step explanation:

Answer:

John wick

Step-by-step explanation:

John wick is a former government assassin with special training, along with knowing close range combat very well in the form of jujitsu and judo, john Rambo is a former us special forces member, who has around the same or greater firearms training than wick, but lacks in melee combat he slash,stab,swing,punch, and attack wick at close range but, wick could easily take out Rambo in melee combat cause wick knows how to use around anything as a weapon. wick is more agile then Rambo and wick could easily get up to Rambo and take him out with a gun and doge Rambo's bullets, or wick could take Rambo out at close range.

Answer:

49.680

Step-by-step explanation:

the tenth is not small