Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answer:

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

By cross multiplication :

[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]

[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]

[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]

[tex]\implies{\sf{2p = - 27}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]

Hence, the value of p is -27/2

[tex]\begin{gathered}\end{gathered}[/tex]

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

Substituting the value of (p = -27/2)

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3pt}}[/tex]

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

I only know the first part (the expression which represents the amount Rita spent at the mall)

18.54x + 48

Answer:

c.19 = 13 + 5

Step-by-step explanation:

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Answer:

$90

Step-by-step explanation:

1 week=7 days

(7*10)+20=90

[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]

[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]

Answer:

The answer is 3  3/4 I think

Step-by-step explanation:

Answer:

[tex]5x^2 + 3x - 2[/tex]

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

Answer:

$0.73

Step-by-step explanation:

Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.

4.38 ÷ 6

[tex]=\frac{4.38}{6}[/tex]

= 0.73

Therefore, the unit cost is 0.73 dollars.

Answer:

it's 11

Step-by-step explanation:

Answer:

The roses are sold individualy for $5.00.

Step-by-step explanation:

To find the answer, you divide 90 (the total amount) by 18 (the number of roses). Because we are doing division, you forget about the dollar sign (for now) and do the division. 90➗18=5. Since it is money, it would be $5.00

Answer:

It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.

Step-by-step explanation:

To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes

(divide by 60 to convert to minutes)

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

67 hah why you solve this

[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

Answer:

Area  = 10 units

Skills needed: Triangle Theory, Substitution of Values

Step-by-step explanation:

1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is:  [tex]\frac{1}{2}[/tex] times base (b) times height (h)

2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).

Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)

Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]

--> [tex]4*5=20[/tex]

--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]

1/2 of 20 is ten, so that is how we arrive at that final answer.

Hope you understand, have a great day :)

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k

Answer:

Freeze thaw cycle

Step-by-step explanation:

The force which produce avalanches and landslides is gravity.

The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.

The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.

The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.

Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.

Prevention's,

Be mindful of your surroundings and keep an eye out for changes in the environment.

When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.

Because landslides are more likely to occur where they have already happened, look for landslide scars.

Hence,  Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.

Learn more about erosion;

https://brainly.com/question/3852201

#SPJ6

Answer:

The following table lists the value of functions ggg and hhh, and of their derivatives, g'g  

′

g, prime and h'h  

′

h, prime, for x=3x=3x, equals, 3.

xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g  

′

(x)g, prime, left parenthesis, x, right parenthesis h'(x)h  

′

(x)h, prime, left parenthesis, x, right parenthesis

333 ~~9  9space, space, 9 ~~~0   0space, space, space, 0 -15−15minus, 15 ~~~6   6space, space, space, 6

Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.

G'(3)=G  

′

(3)=G, prime, left parenthesis, 3, right parenthesis, equals  

Step-by-step explanation:

Answer:

  Birr 5000

Step-by-step explanation:

You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...

  0.60×10,000×20% = 1200

Recipients of the spending at the next level will pay a tax of ...

  0.60×0.60×10,000×20% = 720

That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...

  sum = a1/(1 -r)

  sum = 2000/(1 -0.6) = 5000

Birr 5000 will be the total amount paid for tax in this process.

Answer

in think it's (C)

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation:

To do this you have to add the weight of each purchase

[tex]\frac{1}{4} +\frac{3}{8}[/tex]

But in order to add them together, there has to be a common denominator.

In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:

[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]

Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.

[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]

The statements with their relation to 0 are:

Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.

The above highlights imply that the following statements would be represented with positive sign:

This is so, because height and positions above the ground are above the sea level

Also, the following statements would be represented with negative sign:

This is so, because debt and positions below the ground are below the sea level

Read more about positions at:

https://brainly.com/question/4692136

Answer:

c

Step-by-step explanation:

Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.

Also look at the interval - (1,3), so... really, just by that, c would be your answer

Answer:

1)2 2)2y=4  y=2 x=1

Step-by-step explanation:

Answer:

The area of real patio is 50m².

Step-by-step explanation:

Given,

Length of patio = 3 cm

Width of patio = 6 cm

According to scale =

3 cm = 5m

1 cm = \frac{5}{3}\ m35 m

6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m

Real length of patio = 5 m

Real width of patio = 10 m

Area = Length*width

\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}

Area=5∗10Area=50 m2

The area of real patio is 50m².

Step-by-step explanation:

What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase

to accrue (accumulate) that debt?