Eliana has $2600 to invest for 6 months. If she needs the money to earn $104 in that time, at what rate of simple interest must Eliana invest?

What equation would I use to solve this?​

Step-by-step explanation:

If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.

So,

[tex] \frac{30}{8} = \frac{20}{y} [/tex]

Cross-multiplying the denominators gives,

[tex]30y = 160[/tex]

[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]

Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

[tex]\frac{36mi}{6cm}=\frac{x}{4.5cm}[/tex]

Where x is the real length of great oaks trail ⇒

[tex]x=\frac{(36mi).(4.5cm)}{6cm}=27mi[/tex]

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

[tex]\frac{24mi}{3cm}=\frac{y}{3.5cm}[/tex]

Where y is the real length of salamander trail ⇒

[tex]y=\frac{(24mi).(3.5cm)}{3cm}=28mi[/tex]

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.

[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.

Answer:

the answer is d i think try it.

Answer: C

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The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

The expression is given as:

x³ - 7x² - 5x + 35

Factorize the expression

x²(x - 7) - 5(x - 7)

Factor out x - 7 in the expression

(x² - 5)(x - 7)

The above expression cannot be further factorized.

Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

Read more about factorized expression at:

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Answer:

x² - 8x + 16

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

Answer:

The answer is in the picture attached.

Step-by-step explanation:

Edmentum Sample Answer

Answer:

Step-by-step explanation:

(1-,1, (2,0), ( 3,-2 )

(-4, 2),(-3,3),(2,1)

(-3,-3), (-2,-2), (-1,4)

Answer:

(8x)^(2/3

Step-by-step explanation:

Answer:

The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Step-by-step explanation:

Remember what an average is. (Look at the hint at the bottom of the problem.)

To find the average of a set of numbers, add all the numbers and divide by the number of numbers.

For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.

In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.

We know 3 of the 4 scores. We don't know the fourth score because he has not taken the test yet, so we use a variable to represent the unknown score. Let's call the score of the fourth test x.

To find the average of the 4 scores, we add them and divide the sum by 4.

The three known scores are 63, 62, 74.

The unknown score is x.

Add all 4 scores: 63 + 62 + 74 + x.

Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.

[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]

The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.

We get this inequality.

[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]

Now we solve the inequality for x.

Add like terms in the numerator.

[tex] \dfrac{199 + x}{4} \ge 70 [/tex]

Multiply both sides by 4.

199 + x = 280

Subtract 199 from both sides.

x = 81

Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

Answer:

False

Step-by-step explanation:

you multiply .042 to 63.79 because 4.2 is the percentage.

Answer:

the y intercept is (0,5)

Step-by-step explanation:

Answer: one

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 9 was underlined it would be 9 ones

If it was 5, 5 tenths

If it was 2, 2 hundreths

If it was 1, 1 thousandth

Hope this helps:)

Answer: SEE BELOW

If you need further explanation about how to graph, please let me know.

Hope this helps!! :)

☽------------❀-------------☾

Hi there!

~

[tex]1, 2, 3, 6, 9, 18[/tex]

The factor pairs of 18 are:

[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

1*18=18

2*9=18

3*6=18

There are no other factors, Hope this helps!!

Answer:

The price yesterday was 650

Step-by-step explanation:

X is the price yesterday

There is a 26% discount

That means today we pay 100 -26 = 74 %

x* 74% = 481

.74x = 481

Divide each side by .74

.74x/.74 = 481/.74

x = 650

The price yesterday was 650

Answer:

14

Step-by-step explanation:

Step 1:

1/2x - 3 = 25

Step 2:

1/2x = 28

Answer:

x = 14

Hope This Helps :)

Answer:

The numerical length of UW is 27

Step-by-step explanation:

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

Answer:

Step-by-step explanation:

its wierd but 2.22

Answer:

The answer to your question is m/s which is the A

Answer:

m/s is the answer

Step-by-step explanation:

because

velocity = displacement/time =meter/second

that is m/s

Answer:

V'= ( 5,2 )

U'= ( 8,2 )

T'= ( 7,12 )

S'= ( 3,12 )

Answers:

Check out the diagram below

===================================================

Explanation:

When reflecting over horizontal lines like this, the x coordinate stays the same as the original point. Only the y coordinate changes.

To find what the y coordinate changes to, we need to measure the vertical distance from the point to the line. Point S has a y coordinate of y = -5 and the vertical distance to the line of reflection (y = 1) is |-5-1| = |-6| = 6 units. So we move 6 units up to go from point S to the line of reflection. We must move another 6 units to get to the location for S' where its reflected point would end up, which has y coordinate y = 7.

The same applies for the other points as well. Point T also goes up 6 units to get to y = 1, then it moves another 6 units to get to y = 7

Points V and U only move up 1 unit to get to the green dotted line of reflection. So they'll move only one additional unit to have their reflected points have y coordinates of y = 2.

The diagram hopefully visually summarizes everything discussed so far. The mirroring line cuts the distance from S to S' in half, same for T to T', and so on.

The measure of angle ∠1 is 44 degrees and the measure of angle ∠5 is 62 degrees.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Angle ∠1 and 46° are complementary angles. Then we have

∠1 + 46° = 90°

        ∠1 = 44°

Angle ∠1 and ∠3 are vertically opposite angles. Then we have

∠1 = ∠3 = 44°

The sum of all the angles of the triangle is 180 degrees. Then we have

∠3 + 74° + ∠5 = 180°

44° + 74° + ∠5 = 180°

                 ∠5 = 62°

More about the angled link is given below.

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Answer:

a) If Chloe is not happy at 6pm,  the probability that she has not had dinner yet =P(B/D)= 0.8

b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9

Step-by-step explanation:

Let A be an event that Chloe is happy given that she has had dinner by 6pm

P(A) =  0.9

Let B be an event that  Chloe is not happy given that she has not had dinner by 6pm

P(B) = 0.8.

Let C be an event that Chloe eats dinner by 6pm on a given day

P(C) = 60%=0.6

Let D be an event that Chloe does not eat dinner by 6pm on a given day

P(D) = 1- 60%=1- 0.6= 0.4

This requires conditional probability .

Part a

P(B/D)=P(B∩D)/P(D)

P(B∩D) = 0.8 *0.4=0.32

P(D) = 0.4

P(B/D)=P(B∩D)/P(D)

         = 0.32/0.4= 0.8

P(B)= P(B/D)

0.8 is equal to 0.8

This shows that the  events are independent.

b)

P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9

Which is again equal to probability of event A showing that the events are independent.

Answer 1,-8

Step-by-step explanation:

9+x=10

x=1

2+y=-6

y=-8

B= 1,-8

Answer:

5

Step-by-step explanation:

[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]

Parallel lines have same slope.

So, slope of required line = 5

Answer: An equation

Step-by-step explanation: In math a equal sign put in between two expressions is called an equation.    :)