please me proportional or nonproportal ​

Answer:

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $69512

Step-by-step explanation:

Given that total amount of investment = $150,000

Let the amount invested on 5.6% interest = $[tex]x[/tex]

Now, amount invested on 9.7% interest = $(150000-[tex]x[/tex])

Total interest to be earned = 7.5%

Formula to be used:

[tex]Simple\ Interest = \dfrac{P\times r\times t}{100}[/tex]

Where, [tex]P[/tex] is the amount invested

[tex]r[/tex] is the rate of interest

[tex]t[/tex] is the time for which amount is invested.

As per question statement:

[tex]\dfrac{x\times 5.6}{100}+\dfrac{(150000-x)\times 9.7}{100}=\dfrac{150000\times 7.5}{100}\\\Rightarrow 5.6x-9.7x=150000(7.5-9.7)\\\Rightarrow 4.1x=150000\times 2.2\\\Rightarrow x = \dfrac{330000}{4.1}\\\Rightarrow x \approx \bold{\$80488}[/tex]

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $150000 - $80488 = $69512

Answer:

they are similar because they both are equilateral triangles  

Step-by-step explanation:

they are both equilateral triangles because there sides added together equal 60 degrees, but they are not congruent because to be congruent they need to be the same shape AND size

hope this helps :)

- may i get brainliest

Answer:

see below

Step-by-step explanation:

sin x = cos x

opp/ hyp = adj /hyp

Multiply each side by the hypotenuse

opp = adj

The opposite side must equal the adjacent

Since this is a right triangle

opp ^2 + adj ^2 = hypotenuse^2

opp ^2 + opp ^2 = hypotenuse^2

2 opp ^2 = hypotenuse^2

Take the square root of each side

sqrt(2 opp ^2) =sqrt( hypotenuse^2)

sqrt(2) opp = hyp

We know sin X = opp / hyp

sin x =  opp / (sqrt(2) / hyp)

sin x = 1 / sqrt(2)

sin x = sqrt(2) /2

Taking the inverse sin of each side

x = sin ^-1 ( sqrt(2) /2)

Answer:

point b

Step-by-step explanation:

[tex] \frac{3}{2} = 1.5[/tex]

Answer:

B

Step-by-step explanation:

It is actually pretty simple if you know what to do.

First you simplify 3/2. That will get you 1 1/2

If you look closley you can see that B is in the 1 1/2 place.

Thats it!

Hope this helped! :)

Answer:

8

Step-by-step explanation:

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

Answer:

Step-by-step explanation:

Discount is:

Discount % is:

Applying same discount to pair of shoes for $110:

Answer:

4

Step-by-step explanation:

Answer:

4/3

sorry if its wrong. i tried

Answer:

90

Step-by-step explanation:

5*-9=-45

-45*-2=90

Answer:

90

Step-by-step explanation:

Let's solve this step by step:

(5) · (-9) · (-2)

First, there are two negatives in this equation. They will cancel each other out, to simply make 9 · 2:

5 · 9 · 2 =

Now, we do the multiplication:

5 · 9 · 2 = 45 · 2 = 90

90 is the answer!

Answer:

x=2 y= negative6

Step-by-step explanation:

Answer:   y=-2/3x-5

Step-by-step explanation:

Answer: 10x+14

Step-by-step explanation: In a equation like this one you just add like terms. So 10 and 4 are added and make 14. Since there are no like terms for 10x then you just leave it be.

Answer:

1,628.89

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

5x -2 = -10+45=35

Answer:

The only way it could work is if there was a -2

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

–3(3x –2) = –30

Divide each side by -3

–3(3x –2)/-3 = –30/-3

3x –2 = 10

Add 2 to each side

3x –2+2 = 10+2

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Answer:

X = 4

Step-by-step explanation:

1: Distribute

-3 (3x - 2) = -30 (Multiply 3x and -2 by -3)

-9x + 6 = -30

2: Combine Like Terms

-9x + 6 = -30 (Subtract 6 from -30)

-9x = -36

3: Divide

-9x = -36 (Divide -36 by -9 to get x by itself)

x = -36 / -9

4: Solve

x = -36 / -9

X = 4

Answer:

Deal A is best

Step-by-step explanation:

Given

Deal A:

3/4 lb for $2.50

Deal B:

2/10 lb for $5.25

Required

Which deal is the better

To do this, we simply calculate the lb/dollar ratio

i.e.

[tex]Ratio = \frac{Amount}{Size}[/tex]

For Deal A:

[tex]Ratio = \$2.50/\frac{3}{4}lb[/tex]

[tex]Ratio = \$2.50 * \frac{4}{3}lb[/tex]

[tex]Ratio = \frac{\$10}{3}lb[/tex]

[tex]Ratio = \$3.33/lb[/tex]

For Deal B:

[tex]Ratio = \$5.25/\frac{2}{10}lb[/tex]

[tex]Ratio = \$5.25 * \frac{10}{2}lb[/tex]

[tex]Ratio = \frac{52.5}{2}lb[/tex]

[tex]Ratio = \$26.25/lb[/tex]

The better deal is the least expensive:

Hence: Deal A is better

Answer:

1/4 x

Step-by-step explanation:

from 1 to 3 is 2, and from 2 to 6 is 4

2/4 simplifies to 1/2

can i get brainliest please?

Answer:

59 feet per second

Step-by-step explanation:

[tex]40 mph = \frac{40*5280feet}{1hour} \\40mph = 211200 feet/per/hour[/tex]

to convert 211200 feet per hour to feet per second, we need to know how many seconds are in one hour

60seconds * 60 minutes = 3600 seconds

[tex]211200/3600 = 58.66666666666.... =59[/tex]

Answer:

[ 0, 2 ] is the interval for the graphed function that contains the local maximum. Hence, the answer is [ 0, 2 ] is the answer.

Step-by-step explanation:

Answer:

A= 41,915

B= 40.915

C= 4.9072

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the picture attached,

Given:

GH║KL and J is the midpoint of HK.

To Prove:

ΔGHJ ≅ ΔLKJ

       Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

    Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

We have to prove the statement, ∠GHJ = ∠LKJ

Given; GH || KL, J is the midpoint of HK.

To prove; ∠GHJ = ∠LKJ

Given; J is the midpoint of HK,

By definition midpoint of a segment,

The midpoint is the middle part of the line segment J, it is equidistant from both endpoints it is the centroid of the segment of the endpoints.

JH ≅ HK

Then, by the property of alternate interior angles,

∠JKL≅ ∠JKH

Therefore, by the property of vertically opposite angles,

When two lines intersect they form four angles. Vertical angles are the angles that are opposite to each other. Any two intersecting lines form two pairs of vertical angles that are opposite to each other.

∠GJH ≅ KJL

By ASA congruence theorem,

When two triangles are congruent to each other - If two angles and the involved side of one triangle is equivalent to the two angles and the included side of the other triangle.

ΔGHJ ≅ ΔLKJ

Hence Proved.

For more details refer to the link.

https://brainly.com/question/1751208

Answer:

B) Slope = 2.5, y-intercept = –5

Step-by-step explanation:

Given the following points on the grid, (-1.5, -8.75) and (3.5, 3.75), the slope can be calculated as follows using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-1.5, -8.75) = (x_1, y_1) [/tex]

[tex] (3.5, 3.75) = (x_2, y_2) [/tex]

[tex] m = \frac{3.75 -(-8.75)}{3.5 -(-1.5)} [/tex]

[tex] m = \frac{3.75 + 8.75}{3.5 + 1.5} [/tex]

[tex] m = \frac{12.5}{5} [/tex]

[tex] m = 2.5 [/tex]

Slope = 2.5.

The y-intercept is the point at which the line intercepts the y-axis. On the graph, the line intercepts the y-axis at y = -5. Therefore, the y-intercept = -5.

Answer:

10.7 cm

Step-by-step explanation:

A= bh

[tex]\sqrt{115}[/tex] = 10.7 cm

Answer: