Find the present value, using the future value formula and a calculator. Future value is $6,000 in two years at 9.5% simple interest. Round your answer to the nearest cent (two decimal places). Enter only the number without $ sign.

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

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Answer:

Loan A will have the lowest total paycheck because the total of the principal than the same total for loan B

The value of (8 kg 300 g 120 mg) − (3 kg 500 g 480 mg) is; 4 kg 799 g 640 mg

We want to find the value of;

(8 kg 300 g 120 mg) − (3 kg 500 g 480 mg)

First of all, let us convert all units to kg as;

120 mg = 0.00012 kg

300 g = 0.3 kg

Thus;

8 kg 300 g 120 mg = 8 + 0.3 + 0.00012 = 8.30012 kg

Similarly, converting the second expression;

480 mg = 0.00048 kg

500 g = 0.5 kg

Thus;

3 kg 500 g 480 mg = 3 + 0.5 + 0.00048 = 3.50048 kg

Thus, we have;

8.30012 kg - 3.50048 kg = 4.77964 kg

Breaking down this gives;

4 kg 799 g 640 mg

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Answer:

Step-by-step explanation:

The volume of a cube is given by the formula :

a³ (where a is the side length )

So now we have to cube these lengths :

Part A :

(3x²y)³ =

(3x²y)(3x²y)(3x²y) =

(9x^4y²)(3x²y) =

27x^6y³ (This is now fully simplified so our final answer for a)

Part B:  

(5y²)³ =

(5y²)(5y²)(5y²) =

(25y^4)(5y²) =

125y^6 (This is now fully simplified so our final answer for b)

Hope this helped and have a good day

Answer:

y=-1/7+48/7

Step-by-step explanation:

You want to isolate the Y so you subtract the x to the other side.

Next you divide both numbers on the right hand side by 7 and that gives you

y=-1/7+48/7

Answer:

B) 52

Bodmas rule:

Solving Steps:

⇒ 2 × (3 - 1)⁴ + 5 × 4

⇒ 2 × (2)⁴ + 5 × 4

⇒ 2 × 16 + 5 × 4

⇒ 32 + 20

⇒ 52

Option B

The price of the stock after the change in price on Thursday is  $16.76.

The price of the stock at the beginning of the week is $16.81.

The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.

$17.17 = beginning price + 0.21 + 0.09 - 0.03 -  0.02 + 0.11

$17.17 = beginning price + 0.36

Beginning price = $17.17 - 0.36 = $16.81

Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 -  0.02 = $16.76

Here are the questions:

What was the price of the stock after the change in price on Thursday?

What was the price of the stock at the beginning of the week?

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The volume of the solid objects are 612π in³ and 1566πcm³

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

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The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A dartboard consists of a circle inscribed in a square.

The area of the square is 64 square inches.

We know the area of the square:

A = a²

a is the side of the square.

64 = a²

a = 8 inches

As the circle inscribed in a square.

The diameter will be 8 inches

The radius of the circle r = 8/2 = 4 inches

Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches

P(dart will land on circular dartboard) = 50.24/64 = 0.785

P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215

or

P(dart will not land on circular dartboard) = 21.5% ≈ 22%

Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

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Answer:

22%

Step-by-step explanation

Edge.2023!

Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.

¿Cómo calcular el porcentaje de personas que solo ven tenis?

Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:

De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.

Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.

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By using the motion equations, we conclude that she will make the goal.

First, we know that the goal is 20ft away, and the position in x is given by:

[tex]x = 28*cos(58)*t[/tex]

Let's find the time in which the ball will travel these 20 ft.

[tex]20 = 28*cos(58)*t[/tex]

[tex](20)/(28*cos(58)) = t = 1.35[/tex]

So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.

The height equation is:

[tex]y = -16*t^2 +28*sin(58)*t[/tex]

Evaluating in t = 1.35 we get:

[tex]y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9[/tex]

And the goal is 5ft tall, so we can conclude that she will make the goal.

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The answer is 1.29029.

       [tex]log_{5}8=log(8)/log(5)[/tex]

       As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]

     So equating is the above equation, we get;

     [tex]log_{5}8=0.9030899/0.6989700[/tex]

    [tex]log_{5}8=1.292029[/tex]

Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].

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Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

Answer:

10 miles

Step-by-step explanation:

total amount=$44.80

pick up fee=$4.80+$4 per mile

to get the miles of the taxi ride it will be=total amount-pick up fee÷$4

$44.80-$4.80÷$4

$40÷$4

=10 miles

THANK YOU

Answer:

16

Step-by-step explanation:

12 divided by 3 = 4 and 6*2 = 12

12+4=16

The value of this answer is 16

To solve this expression, we will apply the properties of mathematical operations.

- First, we multiply or divide

- Second, we subtract or add

12/3 + 6 x 2

4 + 6 x 2

4 + 12

16

So, the correct value is 16

Answer:

The answer would be D.

Step-by-step explanation:

If there is a 1/7 chance that the archer will hit it, there is a 6/7 chance he/she wont. 6/7 times 6/7 is equal to 36/49, getting you your answer of D. I hope this helps! :)

Answer:

[tex]67\frac{23}{28}[/tex]

Step-by-step explanation:

[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]

△STU is mapped to △PQR with center of dilation (-1.5, -1.5) and a scale factor of 2 and reflected about the x-axis.

From the given graph, we can see that;

SU is 1.5 units and the corresponding side of the dilated figure is 3 units. Thus, the scale factor of dilation is; 3/1.5 = 2

Now, we can see clearly that it is reflected about the x-axis as the x-values remain negative in △STU while the y-values are now positive in △PQR.

Lastly, we can see the dilation was with center (-1.5, -1.5)

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Answer:

I feel that is would be D

Step-by-step explanation:

This is the most reasonable awnser.

Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

Answer:

1. 3608

2.3956

3. 714

Step-by-step explanation:

jap darab ke apa ni

Answer:

2(6p+5) =

12p+10 =

12p = -10

p = -10/12

p = -5/6

The arc length can be found using the formula, ∅ × r, which is: (5π)/3.

Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.

Given the following:

Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180

Length of the arc = (300π)/180 = (5π)/3

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Step-by-step explanation:

we need the least or smallest common multiple for both numbers, 5 and 6.

this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :

6 has the prime factors 2 and 3.

5 has only 5.

so, the LCM is 2×3×5 = 30.

they will meet again after 30 days.

FYI -

the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.

Answer:

a) 15/8   b) 25/18

Step-by-step explanation:

a) First bring all the fractions to a common denominator (I'm going to use 8th's). 5/8 is already simplified, 1/2=4/8, and 3/4=6/8. Then, simply add the numerators and leave the denominator:  [tex]\frac{5+4+6}{8} =\frac{15}{8}[/tex]

Since this can not be simplified any further, your final answer is 15/8.

b) Start by bringing all the fractions to a common denominator (for this problem, we'll use 18th's). 2/3=12/18, 1/6=3/18, and 5/9=10/18. Then just add all the numerators and leave the denominator the same: [tex]\frac{12+3+10}{18} = \frac{25}{18}[/tex]

Since this cannot be simplified further either, your final answer is 25/18.

Hope this helps! :)

Answer:

so to add we need to find lcm

Step-by-step explanation:

a) 5/8 + 1/2+3/4                            lcm of 2,4 and 8 = 8

5/8 = 5/8

1x4
2x4  =  = 4/8

3x2
4x2    = 6/8

5/8 + 4/8 + 6/8 = 15/8


b) 2/3 + 1/6 + 5/9                       lcm of 3 , 6 and 9 = 18

2x6
3x6  = 12/18

1x3
6x3      = 3/18

5x2
9x2 = 10/18

12/18 + 3/18 + 10/18 = 25/18

Answer:

The length is 11ft.

The width is 8ft.

Step-by-step explanation:

Hello!

Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]

We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".

We can substitute the equation for l, and solve for the width.

The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5

The length is 11.

The dimensions are 11 ft and 8 ft.

Answer: 450

Step-by-step explanation:

The volume is (1/2)(5)(12)(15)=450.

Answer :

Step-by-step explanation :

We have been provided with the volume of water tank , it's length and breadth. We are asked to calculate the depth of tank (height), so we all know that water tank is always is in the shape of cuboid.

We would be using the formula of calculating the volume of cuboid and substitute the values in it.

Here,

We have :

Substituting the values :

>> 396 = 7.2 × 5.5 × h

>> 396 = (72 / 10) × (55 / 10) × h

>> 396 = 72 × 55 × h / 100

>> 396 = 3960 × h / 100

>> 396 × 100 = 3960 × h

>> 39600 = 3960h

>> h = 39600 / 3960

>> h = 3960 / 396

>> h = 10

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