A customer borrows $450 at 5% interest compounded annually

Answer: 12.19 ft

Step-by-step explanation:

Given

Length of ladder is [tex]23 ft[/tex]

Angle of elevation is [tex]58^{\circ}[/tex]

Suppose the bottom of the ladder is x ft away from the bottom of the wall

from the figure, we can write

[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]

Thus, the distance is 12.19 ft

Answer:

36.87

Step-by-step explanation:

Using tan inverse of 9 over 12

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )

Answer:

tan angle = x/5.

Step-by-step explanation:

If I understand your description,

tan angle at bottom of ramp = 1.2/3.

Then tan angle = x/5.

Check my thinking.

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]

The upperbound and the lowerbound for the perimeter of the rectangle are;

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 427.8 cm

To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;

Length; 127.3 cm ≈ 127 cm

Width; 86.5 cm ≈ 87 cm

Thus;

Upper limit of length = 127.05 cm

Lower limit of length = 126.95 cm

Upper limit of width = 87.05 cm

Lower limit of width = 86.95 cm

Formula for perimeter of rectangle is;

P = 2(length × width)

Thus;

Upper bound perimeter = 2(127.05 + 87.05)

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 2(126.95 + 86.95)

Lower bound perimeter = 427.8 cm

Read more on perimeter of rectangle at; https://brainly.com/question/17297081

Answer:

k

Step-by-step explanation:

[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

It should be A.

Step-by-step explanation:

It only has one x intercept

Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept

Answer:

-1

Step-by-step explanation:

when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.

p.s tysm

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.

Answer:

Step-by-step explanation:

when it touch the ground,y=0

-16x²+232x+134=0

-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134

-16(x-29/4)²-16(-861/16)=-134

-16(x-29/4)²+861=-134

-16(x-29/4)²=-134-861

(x-29/4)²=-995/-16=995/16

x-29/4=±√995/4

rejecting negative sign

x=29/4+√995/4=(29+√995)/4≈15.14 second

b is correct Step-by-step explanation: i took the test

Answer:

There are 6 significant figures in the numbers 1.00421

Step-by-step explanation:

Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.

Hope this help

Pls mark me brainliest.

Answer:

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

Answer:

B.) 33°

Step-by-step explanation:

The size of x in degrees is 33°.

If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.

Answer: Yes.

Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.

Given:

Consider the below figure attached with this equation.

Quadrilateral QRST is a parallelogram.

To find:

The value of x.

Solution:

We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.

In parallelogram QRST,

[tex]m\angle Q+m\angle T=180^\circ[/tex]

[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

On comparing both sides, we get

[tex]12x-12=180[/tex]

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=\dfrac{192}{12}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Which equation can be used to solve a - 5 = 30

answer= a=30+5

HOPE THIS HELPS YOU......

[tex]x=2+½*\sqrt{10} [/tex]

or

[tex]x=2-½*\sqrt{10} [/tex]

Answer:

Solution given:

y=2x²-5x+6.....[1]

y=3x+3.........….[2]

solving equation 1&2

2x²-5x+6=3x+3

2x²-5x-3x+6-3=0

2x²-8x+3=0

comparing above equation with ax²+bx+c=0 we get

a=2

b=-8

c=3

by using quadratic equation

[tex]x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}[/tex]

[tex]x=\frac{+8±2\sqrt{10}}{4}[/tex]

taking positive

[tex]x=\frac{+8+2\sqrt{10}}{4}[/tex]

[tex]x=2+½*\sqrt{10} [/tex]

taking negative

[tex]x=2-½*\sqrt{10} [/tex]

Equate

Solve for x

Respuesta:

31 minutos para llegar a la superficie del mar.

Explicación paso a paso:

Dado que :

Profundidad inicial = 48 m

8 metros = 1 minuto

Tiempo de parada por cada minuto de nado vertical = 5 minutos

Por lo tanto,

1 minuto = (48 - 8) = 40 metros

Tiempo de parada = 5 minutos

1 minuto = (40 - 8) = 32 metros

Tiempo de parada = 5 minutos

1 minuto = (32 - 8) = 24 m

Tiempo de parada = 5 minutos

1 minuto = (24 - 8) = 16 m

Tiempo de parada = 5 minutos

1 minuto = (16 - 8) = 8 m

Tiempo de parada = 5 minutos

1 minuto = 8 - 8 = 0 (superficie del mar)

(1 * 6) minuto + (5 * 5) minuto

6 + 25 = 31 minutos

31 minutos para llegar a la superficie.

[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 12x + 18[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]

Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,

[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = 2 \: ( x + 3)(x + 3)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer: 130 miles

Step-by-step explanation:

Given

Mai goes running Monday, Wedenesday and friday

For Monday it is 3.5 miles

For Wednesday it is 5.5 miles

For Friday it is 7.25 miles

Total distance traveled in a week

[tex]\Rightarrow 3.5+5.5+7.25\\\Rightarrow 16.25\ \text{miles}[/tex]

For 8 week it is

[tex]\Rightarrow 16.25\times 8\\\Rightarrow 130\ \text{miles}[/tex]

We know that : The Sum of the angles in a triangle should be equal to 180°

Given : The Triangle is a Right angled Triangle

It means : One of the Angle in the triangle is 90°

It means : The sum of the other two angles should be equal to 90°

Given : One acute angle is 8x + 5 and the other one is 4x + 9

⇒   8x + 5 + 4x + 9 = 90°

⇒   12x + 14 = 90°

⇒   12x = 76°

⇒   x = 6.333°

The larger angle among the acute angles is 8x + 5

⇒   8(6.333) + 5

⇒   50.67 + 5

⇒   55.67

[tex]\huge\bold{Given :}[/tex]

Angle 1 = ( 8x + 5 ) ...(i)

Angle 2 = ( 4x + 9 ) ...(ii)

Angle 3 = 90° ( ∵ it is a right-angled triangle )

[tex]\huge\bold{To\:find :}[/tex]

The value of the larger angle of the two acute angles.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\red{ A. \:55.67° .\:}}}}[/tex]. ✅

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 8x + 5 + 4x + 9 + 90° = 180°

➪ 12x + 104° = 180°

➪ 12x = 180° - 104°

➪ 12x = 76°

➪ x = [tex] \frac{76° }{12} [/tex]

➪ x = 6.333°

The value of x is 6.333°.

Now,

Substituting the value of x in eq. (i) & (ii), we have

Angle 1 = 8x + 5

= 8 x 6.333 + 5

= 50.666 + 5

= 55.67°

Angle 2 = 4x + 9

= 4 x 6.333 + 9

= 25.332 + 9

= 34.332°

Clearly, angle 1 is greater than angle 2.

Therefore, the value of the larger angle of the two acute angles is 55.67°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:

A = -100x + 1850

The price reduces by $100 each month, while the initial price is currently $1,850.

B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:

C = 125x + 275

The price increases by $125 each month, while the initial price is currently $275.

C) To determine the amount time needed before he can buy the computer, we  use:

A = C

-100x + 1850 = 125x + 275

125x + 100x = 1850 - 275

225x = 1575

x = 7

Therefore it would take 7 months before he can buy a computer

Answer:

Y= -1x-1

Step-by-step explanation:

The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

9514 1404 393

Answer:

  A.  (0, -3)

Step-by-step explanation:

Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...

  (0, -3)

nooooooooooooooooooooooooo

Welp… Umh okay :D

It needed more characters…