Yasmin invests money in an account paying a simple interest of 3% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?

The height of the isosceles triangle is 8.08 cm.

Given the sides of the triangle are:

a = 9 cm (one side of the triangle)

b = 8 cm ( base of  the triangle)

Therefore, height of the triangle =?

An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.

we know that h = √a²₋ b²/4

substitute a and b values in the above formula, to find height:

h = √9² ₋ 8²/4

h = √81 ₋ 64/4

h = √(81 × 4) ₋ 64 / 4

h = √324 ₋ 64/4

h = √260/4

h = √65

h= 8.06 cm

Therefore the height  of the isosceles triangle is 8.06 cm.

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Answer:

Angle 1: 141 degrees

Angle 2: 39 degrees

Angle 3: 141 degrees

Step-by-step explanation:

Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.

Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.

Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.

Answer: 7.6

Step-by-step explanation:

Answer

EAD= EBC true.

Step-by-step explanation:

Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.

The rate of change in the submarine's elevation in feet per second is 5.2

According to the question ,

  She starts 174 feet below sea level

after 15 minutes she reaches 252 feet below sea level

distance travel in 15 minutes  = [tex]\frac{252 - 174}{15}[/tex]

                                                  = [tex]\frac{78}{15}[/tex]

                                                  = [tex]\frac{26}{5}[/tex]

                             Round off [tex]\frac{26}{5}[/tex]  =   5.2

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

Here some Rounding Examples :

Consider the number 8.9163

8.9163 rounded to the nearest tenth is 8.9

Because 9 is followed by 1 and 1 is less than 5.

8.9163 rounded to the nearest hundredth is 8.92

Because 1 is followed by 6 and 6 is greater than 5.

8.9163 rounded to the nearest thousandth is 8.916

Because 6 is followed by 3 and 3 is less than 5.

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The absolute value equation that can be used to find the location of the outer edges of the stage is:

|x - 35| = 11.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |2| = |-2| = 2.

For this problem, the outer edges are 11 yards away from the 35 yards line, hence the equation is:

|x - 35| = 11.

The solutions are given as follows:

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Cordniate of c would be (-11,-1).

by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two.  And d prime would be at one comma negative 11 comma negative one

So therefore the cordinates of C would be (-11,-1)

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The value of the variable x is found to be x = 9.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

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All of the statements are True when the expressions are evaluated using appropriate illustrations.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

Answer:

50.96 days can be rounded to 51

73381
1223
51

Step-by-step explanation:

Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.

Part A

50.96 days

Part B

6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute  rounded to 73,381 minutes

73,381 minutes = 73,381 /60 = 1223.02  hours 1223  hours

1223 hours = 1223/24 = 50.96 days rounded to 51 days

Hope that helps. Ask if you need further info

Answer:

n + 5 x 4 - 7

Step-by-step explanation:

Answer:

4(n+)7

Step-by-step explanation:

n+5

(n+5) x 4 = 4 ( n + 5)

4( n+5)-7

Answer:

4

Step-by-step explanation:

2+2=4

just like 2×2=4

its just 2 doubled

2 doubled equals 4

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]

Multiply both parts of the equation by -1:

[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]

Answer:

4/5

Step-by-step explanation:

because 1/5 + 4/5 = 1

Answer:  [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]

This is the same as writing y = (7/3)x - 2/3

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

Explanation:

The given equation is in y = mx+b form

m = -3/7 = slope

b = 4 = y intercept

Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3

The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.

We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]

We'll use the point-slope form to get...

[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]

This equation has a slope of 7/3 and y intercept of -2/3.

The average hourly change in tub fullness is ₋1/13.

Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.

After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.

the average hourly change in tub fullness = ?

subtract the initial quantity from the quantity left after 6 1/2 hours.

⇒ 2/3 ₋ 1/6

= 1/2

Divide the quantity by 6 1/2 hours.

time is represented in improper fraction, convert it into proper fraction.

6 1/2  = 12 ₊ 1/2

= 13/2

⇒ 1/2 ÷ 13/2

= 1/13

the statement says the quantity decreases,

so ₋1/13

therefore the average hourly change in tub fullness is ₋1/13

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The function is 4|x-4|.

It is required to find the  function g.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The original function is:

f(x)=|x|

Translation 4 units to the right we get,

f(x-4)=|x-4|

Horizontal stretch by a factor of 4

Multiplying by 4, so:

g(x)=4f(x-4)=4|x-4|

Therefore, the function is 4|x-4|.

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Answer:

Patrolling Communities.

Step-by-step explanation:

Bit much for this lol

The solution to the system of equation is x = 1 / 5 and y = 4

The system of equation can be solved as follows:

- 5 / 7 - 11 / 7 x = - y

7 + 5x  = 2y

let's rearrange the equations

Therefore,

- 11 / 7 x + y = 5 / 7

5x - 2y = -7

Let's multiply equation(i) by 7 to eliminate the fractions

Hence,

-11x + 7y = 5

5x - 2y = -7

Therefore, using substitution method

5x = -7 + 2y

x = -7 / 5 + 2 / 5 y

Hence,

-11(-7 / 5 + 2 / 5 y) + 7y = 5

77 / 5 - 22 / 5 y + 7y = 5

- 22 / 5 y + 7y = 5 - 77 / 5

-22y + 35y / 5 = 25 - 77  / 5

13y / 5 = -52 / 5

cross multiply

65y = -260

y = -260 / 65

y = 4

Hence,

5x - 2(4) = -7

5x - 8 = -7

5x = -7 + 8

x = 1 / 5

Therefore, the solution to the system of equation is x = 1 / 5 and y = 4

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Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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9) The True Distance is 209 ft

10) The True Distance is; 66.5 ft

11) The True Height is; 57 ft

We are given that the scale of the map is 1 in : 38 ft

This means that 1 inch represents 38 ft

9) Now, we want to find the true distance of 5.5 inches from the map. Thus;

True distance = (5.5 * 38)/1

True Distance = 209 ft

10) Now, we want to find the true distance of 1.75 inches from the map. Thus;

True distance = (1.75 * 38)/1

True Distance = 66.5 ft

11) We are given the scale is 1 in : 85 ft.

Thus, the true height of 1.5 inches is;

True height = (1.5 * 38)/1

True Height = 57 ft

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Answer:

Answer: mark me brainlest

Step-by-step explanation:

Answer is A.

The mass of the isotope after 45 hours is 2.5 grams.

Given, from the table we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is 25 hours the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is 10 grams,

when time is 30 hours, the mass is 5 grams as:

10 × 1/2 = 5

so we know that half life period is:

25 - 10 = 30 - 15 = 15 hours.

When time is 45 hours,

45 = 15+115

= 3 half life periods, so the mass is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the mass of the isotope after 45 hours is 2.5 grams.

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A = 2p and B = 1/p  are the values of a and b.

What does math division mean?

To divide this,

[tex]\frac{6p^{2} }{3p} = 2p[/tex]

Multiplying back through, we have

[tex]3p * 2p = 6p^{2}[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^{2} - 6p^{2} = 0[/tex]

Bring down the next term, 9p.

See how many times 3p goes into 9p = 9p/3p = 3

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term 3/3p will simplify to 1/1p or 1/p;

this gives us

2p + 3 + 1/p

Therefore, the answer is  A = 2p and B = 1/p

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Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

The Graph is not linear.

To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)

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Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.

The illustration of this situation is given at the end of the answer.

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