A line has a slope of
3/2
and a y-intercept of
4/5

Which of the following is an equation of the line?

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

x=-9

Step-by-step explanation:

Answer:

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Step-by-step explanation:

3logy−2logx−4logz

log[tex]y^{3}[/tex]− log[tex]x^{2}[/tex]− log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} }[/tex] − log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

5x=3x+12

5x-3x=12

2x=12

x=6

Answer: I believe that this is the answer

Answer:

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Answer:

Since -15/16 does not equal -16/15, the statement is verified/true.

Step-by-step explanation:

Plug in the numbers for the variable:

-3/4 ÷ 4/5 =/ 4/5 ÷ -3/4

Copy dot flip:

-3/4 × 5/4 =/ 4/5 × -4/3

Multiply numerators and denominators separately:

-3 × 5 / 4 × 4 =/ 4 × -4 / 5 × 3

-15 / 16 =/ -16/15

-15/16 =/ -16/15

-15/16 does not equal -16/15.

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Answer:

12s - 16t

Step-by-step explanation:

2(3s + t) + 2(3s - 9t)

6s + 2t + 6s - 18t

12s + 2t - 18t

12s - 16t

Answer:Perimeter of the rectangle =(12s -16t)centimeters.

Step-by-step explanation:

The perimeter of a rectangle is given as 2(l+w)

Given that  width of the  rectangle=(3s+t)centimeters. and

Length of the  rectangle=(3s-9t)centimeters.

Solving we have

Perimeter= 2(l+w)

Perimeter=2(3s+t +3s-9t)

Perimeter=2(3s+3s -9t+t)

Perimeter=2(6s-8t)

Perimeter=(12s -16t)centimeters.

See related queston here : https://brainly.com/question/17288503

Answer:

The level in decibels is 100.

Step-by-step explanation:

The intensity level in decibels (β) can be found using the following equation:

[tex] \beta = 10log(\frac{I}{I_{0}}) [/tex]

Where:

I: is the intensity = 10⁻⁶ W/cm²

I₀: is the reference intensity = 10⁻¹² W/m²

First, we need to convert the unit of the given intensity from W/cm² to W/m².

[tex] I = 10^{-6} \frac{W}{cm^{2}}*\frac{(100 cm)^{2}}{1 m^{2}} = 10^{-2} W/m^{2} [/tex]

Hence, the level in decibels is:

[tex] \beta = 10log(\frac{10 ^{-2} W/m^{2}}{10^{-12} W/m^{2}}) = 100 dB [/tex]

Therefore, the level in decibels is 100.

I hope it helps you!

Answer:

Not necessarily  

Step-by-step explanation:

The triangles have two sides congruent to each other (BA and RA/BE). They also have angles BRA and BEA congruent, but these do not fit into any of the congruency theorems (SSS, SAS, ASA, or AAS).

Dang, I'm only 12 I don't knowwwww

Answer:

hey buddy sorry i dont know the answer hope this help

Step-by-step explanation:

Answer:

it C Just took the test

Step-by-step explanation:

sjswbszcjdbenr

Answer:

g(x)= -x^2-2

Step-by-step explanation:

I just took the test

Answer:

[tex]{ \tt{let \: inverse \: be \: m }} \\ m = \frac{1}{4x} \\ x = \frac{1}{4m} \\ { \bf{f {}^{ - 1} (x) = \frac{1}{4x} }}[/tex]

Answer:

12

Step-by-step explanation:

f(x) = 7(x – 2) + 4(x + 1)

Let x =2

f(2) = 7(2 – 2) + 4(2 + 1)

        =7(0) +4(3)

       = 0+12

      = 12

Answer:

The domain includes all real numbers, and the range is y > 0.

Step-by-step explanation:

It is represented by [x] read as step 'x'

It is defined for all x

∴ domain=(−∞,∞)

The range is y > 0.

Answer:

Step-by-step explanation:

After enlargement,

Parallel  sides are: 6*3 = 18 cm  & 10*3 = 30cm

Altitude = 5 *3 = 15 cm

Area =[ (sum of the length of parallel sides)*height] ÷2

      [tex]= \frac{(18+30)*15}{2}\\= \frac{48*15}{2}\\\\= 24 *15\\\\= 360[/tex]

Answer:

360 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 5 , b₁ = 10, b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 6) = 2.5 × 16 = 40 cm²

Enlarging by a scale factor of 3 means the area is increased by a factor

3² = 9

area of scaled copy = 9 × 40 cm² = 360 cm²

Answer:

• Tides are the great rise and fall of sea water caused by the gravity of the moon and the sun.

Gió thổi trên mặt nước trong các đại dương chịu trách nhiệm cho dòng hải lưu. Tuy nhiên, dòng hải lưu trong đại dương không được hình thành bởi gió đơn thuần. Nước gần cực lạnh trong khi nước gần xích đạo ấm. Sự chênh lệch nhiệt độ giữa hai vùng nước này cũng chịu trách nhiệm cho sự hình thành dòng hải lưu. Địa hình đáy đại dương, mưa và thậm chí thủy triều cũng gây ra dòng chảy trong nước.

Step-by-step explanation:

Answer:

cubes

Step-by-step explanation:

because when you find area you would say 2 meters "squared" but when you find volume you woukd say 2 meters "cubed"

Answer:

743 divided by 4= 185.75

87,965 divided by 365= 241

6,546 divided by 9= 727.333333                                                                                           Hope this helps! :P

Given :

Oye bought a pen for Rs 220 .

He sell the pen for Rs 250 .

To Find :

The profit Oye earned on the pen.

Solution :

We know, profit can we calculated as :

P = Cost Price - Selling price

P = Rs 250 - 220

P = Rs 30

Therefore, the profit amount on the pen is Rs 30 .

Answer:

Carlie is correct he or she has the best and most were to explain the answer.

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

2.6234

We round to the tens place

Look  at the hundreds place

2.62 Since the 2 is less than 5, we leave the 6 alone

2.6

Answer:

2.6

Step-by-step explanation:

2.6234

Round to 100 place

= 2.62

Now, round it to tenth place

= 2.6

Answer:

1st term = -5

4th term = -17

8th term = -33

Step-by-step explanation:

1st term = -2 x (2 x 1) -1

             = -2 x 2 - 1

             = -4 - 1 = - 5

4th term = -2 x (2 x 2) -1

              = -2 x 4 - 1

              = -8 - 1 = - 9

8th term = -2 x (2 x 8) - 1

              = -2 x 16 - 1

              = -32 - 1 = - 33

Answer:

30

Step-by-step explanation:

19+11=g

inverse operations

Answer: g = 30

Step-by-step explanation:

g + (-11) = 19

g - 11 = 19

g = 19 + 11

g = 30

Answer: y= 0.96 + 0.18x

Step-by-step explanation: I just did the assignment

General equation for slope-intercept form

y = mx+c

comparing the given eqn with this ,

m= slope = 2