You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work. The local bank will lend you money for 2 years at a rate of 9% compounded quarterly. Your uncle offers to lend you the money in the form of a promissory note for 2 years with an annual simple interest rate of 6%. How much money will you save by borrowing the money from your uncle?

Answer:

x=7/5

Step-by-step explanation:

Original dimensions

Length=11 meters

Width=5 meters

Each dimension reduced by x meters

L=11-x

W=5-x

Length/width=ratio of length/ratio of width

11-x/5-x = 8/3

Cross product

(11-x)3 =( 5-x)8

33-3x=40-8x

-3x+8x=40-33

5x=7

x=7/5

Check:

11-7/5=55-7/5

=48/5

5-7/5=25-7/5

=18/5

48/5÷18/5

=48/5*5/18

=240/90

=24/9

=8/3

Length: width=8:3

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

Step-by-step explanation:

angle (JIF) = 2x°

so angle (FIG) = (180 - 2x)°

Also , IK || EH

So , angle KIG = angle IGF = x°

angle (EFI) = 3x°

angle (IFG) = (180 - 3x)°

In triangle IFG ,

angle IGF + angle IFG + angle FIG = 180°

=> x + 180 - 3x + 180 - 2x = 180

=> 360 - 4x = 180

=> 4x = 360 - 180 = 180

=> x = 180 / 4 = 45°

Answer:

A.) 5

Step-by-step explanation:

the answers for me are 5, 5.5 ,6 ,6.5

A line of best fit will show that the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes

A line of best fit in a line graph is the line that allows for equal amount of outliers to the left and to the right of the line.

The line plot of the data above will have time on the horizontal axis and temperature on the vertical axis.

Plotting the points on the graph and drawing a line of best fit will show that the time at which the temperature will reach 100 °C is 6.5 minutes.

Therefore, the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes.

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Max : 10 steps : Dad: 3 steps.

So it you multiply those each by ten, you get

100 steps : 30 steps.

30 Dad steps is 100 Max steps, so you get the answer, which is 100!

The steps taken by Max is 100.

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.

Given

steps taken by Max = 10

Steps taken by his Dad = 3

both steps of Dad and steps of Max should be in ratio

3/10 …(1)

steps taken by his Dad = 30

let steps taken by Max = x

ratio = 30/x …..(2)

equation 1 equals equation 2

3/10 = 30/x  

x = (30 x 10)/3

x = 100

Hence Max must take 100 steps.

Learn more about arithmetic operators;

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Answer:

([tex]\frac{3}{5}[/tex] b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus

y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = [tex]\frac{3}{5}[/tex] b , thus

x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )

Answer:

( b, 0 )

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.

Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.

Thus, f(x) = -2 g(x)

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A.) 4/100

B.) 5,250,000

C.) C. 6/100

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

A) 4/100

B) 5,250,000

C) C) 6/100

Step-by-step explanation:

A) the 4 is in the hundredths place, so it’s worth 4/100.

B) 5,250,000. (250,00 is a quarter million)

C) the 6 is in the hundredths place, so it’s worth 6/100.

Answer:

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

Answer:

290

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

I mean you just have to look at a number line and see that 285 is closer to 290 instead of 280...

Answer:

7 batches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To get the approximate number of pages in the chapters, what we need to do is to substitute for the value of x in the line of best fit equation.

Thus, we have;

y = 15.261(8) + 8.83 = 122.088 + 8.83 = 130.918

This is approximately equal to 131

Answer:

-7/8

Step-by-step explanation:

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.

First, let's set up and solve the equation for 18% of q is 27.

18 / 100 = 27 / q

100q = 486

q = 4.86

Next, we'll find the value of 2q.

2(4.86) = 9.72

Finally, we'll set up a proportion and solve for 27% of 2q.

27 / 100 = x / 9.72

100x = 262.44

x = 2.6244

If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).

Hope this helps!! :)

Answer:

Step-by-step explanation: Let's first find the value of q

[tex]18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\[/tex]

Now we can find 27% of 2q

[tex]27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81[/tex]

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

[tex]\boxed{x=7, \: x=-13}[/tex]

Step-by-step explanation:

[tex]|3x+9|= 30[/tex]

Solve for absolute value.

There are two possibilities.

One possibility:

[tex]3x+9=30\\3x=21\\x=7[/tex]

Second possibility:

[tex]3x+9=-30\\3x=-39\\x=-13[/tex]

Answer:

( 3u +12) / (v^2+4)

Step-by-step explanation:

(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)

Since the denominators are the same, we can add the numerators

((-u+3) + ( 4u+9)) /( v^2+4)

Combine like terms

( 3u +12) / (v^2+4)

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : [tex]log (a*b) = log a+logb[/tex]

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Answer:

c

Step-by-step explanation:

c

Answer:

the answer is C ;D

Step-by-step explanation:

Answer:

153.586 close to 154 students

Step-by-step explanation:

mean=61

standard deviation =10

sample 450 students , x between 61 and 71

(x-mean)/deviation for score 61 and 71

61-61/10=0

71-61/10=1

the z-scores is between 0 and 1 ( use calculator)

the percentage is 0.3413 close to 34%

number of students that score between 61 and 71=

450*0.3413= 153.586 close to 154 students

Answer:

30

Step-by-step explanation:

4/5 (x-20)=8

4/5x-4/5*20=8

4/5x-16=8

4/5x=24

x=(24*5)/4

x=30

hope it helps..

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]

So the area of this triangle is 180 cm²

I hope this helped!

Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]

Step-by-step explanation:

Vertical Angles states that 9x+27=117

Supplementary Angles states that 117+z=180

[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]

Hope it helps <3

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

Step-by-step explanation:5