i need....help plz ​

The compound interest formula can be used to calculate the interest rate Tumelo should invest his initial amount at.

This formula is represented as follows: FV = PV(1 + r/n) where: FV = future valuePV = present value or initial amountr = interest rate = number of compounding periods in a year and = number of yearsThis formula assumes that the interest is compounded quarterly.

Therefore, we have four compounding periods in a year. Substituting the given values into the formula:FV = PV(1 + r/n)nt28000 = 14600(1 + r/4)^(4*6)28000/14600 = (1 + r/4)^24Dividing both sides by 14600 gives:1.9178 = (1 + r/4)^24Taking the logarithm of both sides gives:

ln(1.9178) = ln[(1 + r/4)^24]Applying the logarithmic rule for exponents gives:

ln(1.9178) = 24ln(1 + r/4)Solving for r gives:r = 4[(1.9178)^(1/24) - 1]r = 0.0362 or 3.62%Therefore, Tumelo should invest his initial amount at an interest rate of 3.62%, compounded quarterly, to achieve his goal of withdrawing R28000 in 6 years.

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Answer:

x = 6

Step-by-step explanation:

22x - 4 = 5x + 6 + 92

22x - 4 = 5x + 98

22x - 5x = 98 + 4

17x = 102

x = 6

Hope this helps!

Let me know if I'm wrong :)

Answer:

48

Step-by-step explanation:

To find one fourth, I divided 64 by 4, which gave me 16. Then, to find 3/4, I multiplied 16*3, which is 48.

Answer:

the answer is 48

Step-by-step explanation:

48 floz

The law of sines and the law of cosines are used to solve triangles. These formulas aid in finding the missing angle or side of a triangle based on the known side lengths and angle measures.A triangle has three sides and three angles. If we know all three sides and all three angles, we can find everything there is to know about that triangle. Unfortunately, this is rare.

We can use the law of sines or the law of cosines to solve a triangle if we know some, but not all, of the side lengths and angle measures.The law of sines, abbreviated L.S., is a formula that relates the side lengths and angles of a triangle. The L.S. formula is as follows:

a/sin A = b/sin B = c/sin C. In this formula, a, b, and c are the lengths of the sides of a triangle, while A, B, and C are the angles opposite those sides. Any two ratios in this formula can be utilized to solve for the third.The law of cosines, abbreviated L.C., is a formula that relates the side lengths and angles of a triangle. The L.C. formula is as follows: a^2 = b^2 + c^2 - 2bc cos A (similarly for the other sides).

In this formula, a, b, and c are the lengths of the sides of a triangle, while A, B, and C are the angles opposite those sides. This formula may be used to solve for one of the missing side lengths or one of the missing angles of the triangle if we know the length of two sides and the angle between them.

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Answer:

(Part A.)

Step 2

(Part B.)

Step 1. 2(x + 9) = 4(x + 7) + 2

Step 2. 2x + 18 = 4x + 28 + 2

Step 3. 2x + 18 = 4x + 30

Step 4. -12 = 2x

Step 5. -6 = x

Step-by-step explanation:

(Part A.)

Emily incorrectly distributes 4(x + 7). This should be 4x + 28 instead of 4x + 7.

(Part B.)

On Step 2, Emily should have properly distributed 4(x + 7) as 4x + 28. Step 4, -8 is not a coefficient of x.

Answer:

-14

Step-by-step explanation:

I think Also 9 is wrong

Answer:

x = - 14

Step-by-step explanation:

6x - 2 (2x - 6) = - 16 Distributive property

6x - 4x + 12 = - 16 Simplify

2x + 12 =  - 16 Subtract 12

2x = - 28  Divide 2

x = - 14

The equation formed after the transformations is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

The parent function in this problem is defined as follows:

[tex]f(x) = \sqrt{x}[/tex]

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x}[/tex]

For the translation left 3 units, we have that x -> x + 3, hence:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

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Answer:

8q - 2

Step-by-step explanation:

Use PEDMAS .

4q + 2(3q - 1) - 8q ÷ 2² = 4q + 2*3q - 2* 1 - 8q ÷ 4  

                                     = 4q + 6q - 2 - 2q          {Combine like terms}

                                     = 4q + 6q - 2q  - 2

                                     = 8q - 2                                

Answer:

8q - 2 is the answer,

Step-by-step explanation:

^^^

Answer:

R = E/I

Step-by-step explanation:

Step 1: Write equation

E = IR

Step 2: Divide both sides by I

E/I = R

Step 3: Rewrite

R = E/I

Answer: (f×g)(x)

Step-by-step explanation:

12×-6= -72

3×0= 0

-6×6= -36

So h(x) is equal to (f×g)(x)

Answer:

$20

Step-by-step explanation:

He spent half of his allowance going to the movies. Half of 20 is 10. He then washed the family car and earned 8 dollars. You add them together, and you get $18.

His weekly allowance was $20

Answer:

no they aren't

Step-by-step explanation:

no they aren't because ..........;)

Answer:

A. The function is -3s+560 Step-by-step explanation:

Answer:

13/5 mi/hr, or 2 3/5 mi/hr

Step-by-step explanation:

Here we want the rate in "miles per hour."

Obtain this as follows:

 3 1/4 miles         13/4 mi

------------------- = --------------- = 13/5 mi/hr, or 2 3/5 mi/hr

  1 1/4 hours           5/4

Paying $90 instead of the minimum payment of $45, you would save $1.35 in interest charges in June

To calculate the interest charges in June, we need to understand how the adjustable balance method works. This method calculates interest based on the average daily balance for the billing cycle.
Step 1: Calculate the average daily balance for May. To do this, we need to know the number of days in May and the balance on each day. Let's assume May has 31 days. Since the balance remains constant at $1,350, the average daily balance for May is $1,350.
Step 2: Calculate the interest charges for May. Multiply the average daily balance by the monthly interest rate. In this case, the interest charges for May would be $1,350 * 0.015 = $20.25.
Step 3: Calculate the interest charges for June. Assuming the balance remains the same at $1,350, the average daily balance for June would also be $1,350.
Step 4: Calculate the interest charges for June with a payment of $90. To do this, we need to subtract the payment from the average daily balance for June. In this case, the adjusted balance would be $1,350 - $90 = $1,260.
Step 5: Multiply the adjusted balance by the monthly interest rate to calculate the interest charges for June. In this case, the interest charges for June would be $1,260 * 0.015 = $18.90.
Step 6: Calculate the savings in interest charges. To find the difference in interest charges, subtract the interest charges for June with the $90 payment from the interest charges for June with the minimum payment. In this case, the savings in interest charges would be $20.25 - $18.90 = $1.35.
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The formula for the radius (r) of a sphere, given the volume (V), is [tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex].

To solve the formula for the volume of a sphere, [tex]V = \frac 43 \pi r^3[/tex], for r, we'll follow these steps:

1. Begin with the formula for the volume of a sphere: [tex]V = \frac 43 \pi r^3[/tex].

2. Multiply both sides of the equation by (3/4) to isolate π[tex]r^3[/tex]:

[tex]\frac34V = \pi r^3[/tex].

3. Divide both sides of the equation by π to obtain the expression for r^3:

[tex]r^3 = \frac34 \frac V\pi[/tex].

4. To solve for r, take the cube root of both sides of the equation:

[tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex].

Therefore, the formula solved for r is [tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex]. This formula allows you to calculate the radius of a sphere when the volume (V) is given.

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Answer:

no u

Step-by-step explanation:

Answer:

hmm lets see sorry i cant help i wish i could but its been a while

Step-by-step explanation:

Answer:

dividend

Step-by-step explanation:

783389$98_;8282(4((_

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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V(-6,3)

subtract 8 from 2, since it is moving to the left but keep the y the same since it is not translated up or down

Answer:

The value of X will be (17N + r)/ (34-N).

N(17 + x) = 34x -r

17N + Nx = 34x - r

Collect the x together.

17N/N + 34x -r

Therefore the answer will be

(17N +r) / (34-N).

Step-by-step explanation:

I hope i helped you : )

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

36

Step-by-step explanation:

Least common multiple (LCM) of 4 and 9 is 36. LCM(4,9) = 36. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Hope this helps :)

The LCM or least common multiple of 4 and 9 is 36.

Least common multiple of any two is the value that is evenly divisible by the two given numbers.

Given is to find the least common multiple of 4 and 9.

The least common multiple of 4 and 9 is 36.

Therefore, the LCM or least common multiple of 4 and 9 is 36.

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Answer:

Step-by-step explanation:

Neither - one intersection

The correlation coefficient is 0.505 rounded to three decimal places.

The correlation coefficient is a statistic that determines the relationship between two variables, X and Y.

It is used to determine the strength and direction of the relationship between the two variables.

The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation.

The formula for the correlation coefficient is:

r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]

where n is the number of observations, x and y are the two variables, ∑xy is the sum of the product of the two variables, ∑x and ∑y are the sums of the two variables, ∑x² and ∑y² are the sums of the squares of the two variables

Using the formula, the correlation coefficient can be calculated as follows:

Given the following data:10 15.8

Calculating the necessary sums

∑x = 10∑y = 15.8∑xy = (10)(15.8) = 158∑x² = 100∑y² = 249.64

Using the formula:

r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]

r = [2(158) - (10)(15.8)] / [√{2(100) - (10)²} × √{2(249.64) - (15.8)²}]

r = [316 - 158] / [√(200) × √(467.68)]

r = 158 / [14.1421 × 21.6266]r = 0.505

The correlation coefficient is 0.505 rounded to three decimal places.

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Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

Answer:

a = 1/3

Step-by-step explanation:

a = 4/12

4/12 simplifies to 1/3

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

Work Shown:

L = number of students in Lee's class

F = number of students in Fred's class

Lee has 1.1 times as many students compared to Fred

This means we have this equation

L = 1.1F

Whatever the value of F is, we multiply that by 1.1 to get the value of L

The two amounts L and F add to 42 total students

L+F = 42

1.1F + F = 42 .... replace L with 1.1F

2.1F = 42

F = 42/(2.1)

F = 20 .... Fred has 20 students

L = 1.1*F

L = 1.1*20

L = 22 .... Lee has 22 students

------------

Check:

L+F = 22+20 = 42

this confirms the answer