1. A planters corporation is lending its planters Php5,000.00
for an interest of 10% per annum. How much
interest will be paid by the planters after two and
a half years?

The cost that the manager will pay for turkey and cheese is $127.182.

From the information, the manager wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound.

The total cost will be:

=> Cost for turkey + Cost for cheese

= (24.8 × $1.89) + (38.2 × $2.05)

= $48.872 + $78.31

= 127.182

The cost is $127.182

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1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Answer:

D

Step-by-step explanation:

\(\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\neq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6\)

combininig the two cases

x≤-6 and 0<x≤6

Answer:

She would make $306 for 18 hours of work.

Step-by-step explanation:

187/11 = 17

so I divided the money by the amount of hours

so I got how much she makes an hour which is $17.

18x17= 306

So I just multipled 18 hours by $17 to see how much she would make.

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Answer:

352

but for the 3 it would be 264

Answer:

You have to multiply the 2 by whatever is in the parenthesis and of course it's a negative two remember that if you are solving it

Step-by-step explanation:

So that you simplify the equation when solving it

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Thus, the equation of the new function for the given reciprocal parent function, F(x) = 1/x, is found as: G(x) = 1/6x - 5.

In geometry, a function which further moves an object a specific distance is referred to as translation. Nothing else is done to change the object. It is not scaled, reflected, rotated, or refracted.

Given data:

reciprocal parent function, F(x) = 1/x.

- Horizontal stretch by multiplying parent function with 1/6

F(x) = 1/x * 1/6

F'(x) = 1/6x

Now,

- Translation of 5 units right.​

G(x) = 1/6x - 5

Thus, the equation of the new function for the given reciprocal parent function, F(x) = 1/x, is found as: G(x) = 1/6x - 5.

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Complete Question:

If you apply the changes below to the reciprocal parent function, F(x) = 1/x . what is the equation of the new function? Horizontally stretch by multiplying by 1/6 and • Translate 5 units right.​

Answer:

free points ty

A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).

Given:

The number of random customers n1 = 25

The number of random customers n2 = 30

x1 = 45, x2 = 55

σx1 = 10, σx2 = 15

Zα12 = Z0.025 = 1.96

95% confidence interval,

= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}

= {(55-45)  ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}

= {10 ± 1.96(4 + 7.5)^0.5}

= {10 ± 1.96(11.5^0.5)}

= {10 ± 1.96(3.3911)}

= {10 ± 6.6466}

=> (10-6.6466, 10 + 6.6466)

=> (3.35, 16.65)

So, the correct option is a (3.35, 16.65) for the difference of the meantime.

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Answer:its b(second one)

Step-by-step explanation:

Answer:

726,444.00000

Step-by-step explanation:

This is the answer I have got

Answer:

13

Step-by-step explanation:

50 multiplied by .26

Answer:

11 + 5x = -6

BTW X = -3.4 SORRY I FORGOT TO ADD IT

Step-by-step explanation:

someone is 3.40$ in debt and they are put into debt further because of whatever reason and then a dog helps the person in debt payback 11 dollars.  

The equation we can write based on this is 5x+11= -6

5x+17

5x= -17

x=-3.4

Bob lost 17 apples from his apple trees.

He has 5 apple trees that each used to have x amount of apples. Some apples had part of it cut off for an agriculture technique. How many apples are on each tree?

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

144.6ft

Step-by-step explanation:

Given

\(u = 45ft/s\) --- initial velocity

\(a = -7ft/s^2\) --- deceleration

Required

Distance traveled

To do this, we make use of:

\(v^2 = u^2 + 2as\)

Where

\(v = 0\) --- final velocity

So, we have:

\(0^2 = 45^2 - 2*7*s\)

\(0 = 2025 - 14s\)

Collect like terms

\(14s = 2025\)

Solve for s

\(s = \frac{2025}{14}\)

\(s = 144.6\)

Answer:

2.125 bags

Step-by-step explanation:

17 bags total in 8 weeks

b = bags a week

17 = 8b

17 = 8b

8      8

b = 2.125

Step-by-step explanation:

17 bags in 8 weeks

if 17 bags = 8 wks

what about 1 week.. How many bags?

you need to cross multiply so it will be like this

17×1 = 17

then now you divide 17 by 8 which will give the final answer

17÷8

Answer: 4.3 meters

Step-by-step explanation:

Let the angle opposite the 3-meter side be \(\alpha\).

Using the Law of Sines,

\(\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})\)

Using the sum of the angles in a triangle, the angle opposite the side \(\ell\) is \(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})\).

Using the Law of Sines,

\(\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3\)

Answer:  The correct answer is 4.3

Step-by-step explanation:

This is an Obtuse Scalene Triangle

Side a = 2

Side b = 3

Side c = 4.26571

Angle ∠A = 25°

Angle ∠B = 39.34°

Angle ∠C = 115.66°

Area = 2.70415

Perimeter p = 9.26571

Semiperimeter s = 4.63285

Calculate c, ∠B, and ∠C based on given a, b, and ∠A.

∠B = arcsin(b·sin(A)/a)

= 0.68662 rad = 39.34°

∠C = 180° - A - B = 2.01864 rad = 115.66°

c = a·sin(C)/sin(A) = 4.26571 = 4.3

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The simplified form of the expression 29 - ( 11 - 2³ ) + 6² ÷ 4 is 35

Given the expression in the question;

29 - ( 11 - 2³ ) + 6² ÷ 4

To simply, replace 2 raised to the power of 3 with 8 and 6 raised to the power of 2 by 36

29 - ( 11 - 2³ ) + 6² ÷ 4

29 - ( 11 - 8 ) + 36 ÷ 4

Now, remove the parenthesis by performing the operation inside the parenthesis.

29 - ( 11 - 8 ) + 36 ÷ 4

29 - 3 + 36 ÷ 4

Now, divide 36 by 4

29 - 3 + 36 ÷ 4

29 - 3 + 9

Next, add -3 and 9

29 + 6

Add 29 and 6

35

Therefore, 35 is the simplified form of the expression.

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Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

Let us assume the total number of students surveyed = x

Then

Number of students preferring red = x/4

Number of students preferring blue = x/8

Then

Number of students remaining = x - [(x/4) + (x/8)]

                                                  =x - [(2x + x)/8)

                                                  = x - (3x/8)

                                                  = (8x - 3x)/8

                                                  = 5x/8

Number of students preferring the color green = (3/5) * (5x/8)

                                                                          = 3x/8

We also know that the total number of students preferring the color green is 15

So

3x/8 = 15

3x = 15 * 8

x = (15 * 8)/3

  = 5 * 8

  = 40

So in total 40 students were surveyed. I hope the procedure is clear to you.

Step-by-step explanation:

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

36

Step-by-step explanation:

You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.

Answer:

31

Step-by-step explanation:

124/4 = 31 pages per one fourth of the book

If your brother reads one fourth of the book then he reads 31 pages.

31

Step-by-step explanation:

divide 1/4 by 24 and 31 should be the answer