How long will it take for $5,000 to double at the rate of 2.25% interest?

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

ngl i didnt really get this i i kinda have a some what idea on what this is

The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.

As such the interior angles are

1. 180 - (x+ 3)

2. 180 - (2x+ 1)

3. 180 - (3x - 4)

Given that the sum of angles in a triangle is 180 degrees

180 - (x+ 3) +  180 - (2x+ 1) + 180 - (3x - 4) = 180

540 - 6x = 180

6x = 540 - 180

6x = 360

x = 60

The exterior angles are

x + 3 = 60 + 3 = 63

2x + 1 = 2(60) + 1 = 121

and

3x - 4 = 3(60) - 4 = 180  - 4 = 176

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Answer:

a. (4+3)² ÷ (10-3)

Step-by-step explanation:

Because 4+3 is 7 then to the second power is 49 divide that by 7 which gives you 7.

Answer:

125 mL

Step-by-step explanation:

We are given:

V₁ = x mL

C₁ = 80%

V₂ = 200 mL

C₂ = 50%

Solving for x:

We know that:

V₁C₁ = V₂C₂                                [Concentration formula]

replacing the values:

x(80) = (200)(50)

x = 125 mL                                [Dividing both sides by 80]

Answer:

the answer is b

Step-by-step explanation:

Answer:

(2x+-4=6-

We move all terms to the left:

(2x+-4-(6-)=0

We add all the numbers together, and all the variables

(2x+-4-0=0

We use the square of the difference formula

(2x-4-0=0

Step-by-step explanation:

Answer:

Not a triangle.

Step-by-step explanation:

Sum of the two smaller sides must be greater than the largest side.

Answer:

3 ft.

Step-by-step explanation:

15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]

Gallons of water in pool = [tex]660501.9[/tex] gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

Answer:

w≥31.25

Step-by-step explanation:

175+8w≥425

-175        -175

8w≥250

/8       /8

w≥31.25

Answer:

X is greater than or equal to 125/4

Step-by-step explanation:

Subtract 175 from both sides which will turn 425 into 250

Divide 8 from 8x to the other side to turn 250 into 125/4

In the end, you get X is greater or equal to 125/4

4/14 is equivalent. This was found by multiplying both the numerator and denominator by 2.

Answer:

H = 46

Step-by-step explanation:

Add 18 to both sides to get h by itself

h = 46

Final Answer: [tex]h = 46[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?

Step 1: Regroup the terms.

[tex]h - 18 = 28[/tex]

Step 2: Add [tex]18[/tex] to both sides.

[tex]h = 28 + 18[/tex]

Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].

[tex]h = 46[/tex]

~I hope I helped you :)~

Answer:

you welcome bih

Step-by-step explanation:

Answer:

Congrats

Step-by-step explanation:

I'm glad its helping.

Answer:

uh is it 6.5???

Step-by-step explanation:

Answer:

Errm please where is the angle of elevation

I think there should be an angle before we can find the height of the building

The height of the building is 44.91 feet

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given that George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is 34.

Therefore we have;

tan ° A = opposite / adjacent

° A = 31;

The adjacent (height) = 72 ft

Now replacing;

tan 34 ° = x / 72

x = tan 34 ° ( 72)

x = 44.91

Therefore, the height of the building is 44.91 feet

Learn more about trigonometric;

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Answer:

ITS B GOOD SIR!! I JUST FINISHED THE TEST

Step-by-step explanation:

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The domain of the function is [tex]x\geq 0[/tex]

To understand more, check below explanation.

The input values for which any function is defined, that input values aree known as the domain of function.

For any graph of a function, the x- axis values are the domain of the function.

From the given graph it is observed that, the input values for the function is [tex]x\geq 0[/tex].

Hence, the domain of the function is [tex]x\geq 0[/tex].

Learn more about the domain and range of the function here:

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Answer:

42

Step-by-step explanation:

Since 7x5=35, then 7x6=42. This is known as the fives fact rule, and I used it to figure it out.

Hope this helps! :)

Following are the facts to solve the given expression:

Given:

[tex]\to 7 \times 6[/tex]

To find:

facts=?

Solution:

[tex]\to 7 \times 6=42[/tex]

Fact 1:

[tex]\to 42= 6 \times 7[/tex]

Fact 2:

[tex]\to 42= 3 \times 2 \times 7[/tex]

Fact 3:

[tex]\to 42 =(4 \times 10)+ (2\times 1)[/tex]

Fact 4:

[tex]\to 42= (5\times 8) + (2\times 1 )[/tex]

Fact 5:

[tex]\to 42=(3 \times 12)+(2 \times 3)[/tex]

Learn more about facts for solving equations:

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Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Answer:

d number is the correct answer of the question

Answer:

d. Independent Variable: time, Dependent Variable: annual income

Income rises steadily then drops off sharply before beginning to rise again

Step-by-step explanation:

Answer:

those are called quarters

Answer:

Well Caden has 3 quarters (which . 75 cents since they are .25 cents a piece ), he also has a dime, (which is .10 cents ) and also a nickel. ( which is .5 cents)

Caden: .75+.10+.5= $1.00

Eden has a quarter (.25 cents), 2 dimes (.20 cents) and 2 nickels ( .10 cents )

Eden : .25+.20+.10= .55 cents

Harper has 2 quarters (.50 cents), 2 dimes ( .20 cents) and 2 nickels( .10 cents)

Haper: .50+.20+.10= .80cent s

Step-by-step explanation:

I hope this helps and if it does please mark me the brainliest! Peace and love

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

Answer:

its just 22

Step-by-step explanation:

Answer:

0/4, 0/6 those are examples of non benchmark fractions. 1/2 is a benchmark fraction.

Step-by-step explanation:

The required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
Benchmark fractions, this is the fraction values that are used frequently in any mathematical and analytical operations such values are, 1/2, 1/4, 3/4, and so on.
And none benchmark fraction values are 1/8.5, 1/7, and similar fractions. and their uses are none essential and none frequent.

Thus, the required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.

Learn more about fractions here:
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Answer:

696589

Step-by-step explanation:

Answer:

Step-by-step explanation:

I Need help too! Please help as quick as you can

Answer:

Um.

Step-by-step explanation:

Could you give an example of what? Or no.?

Answer:

108

Step-by-step explanation:

Answer:

I don't get it is there more option or something.