5/a - 4/b as a single fraction

false it starts from 1 and continues

Answer:

False because natural numbers start from 1

Answer:

4s-300= Jessica's current salary

Account Compounding Interest after 6 years

1 quarterly

A1 = -$1798.42

2 monthly $

A2 = -$1798.01

3 daily $

A3 =  -$1797.96

1) An account with quarterly compounding: After 6 years, the formula to calculate the interest is:

Interest = Principal \(\times\)(1 + (rate / \(n))^{(n * t)}\) - Principal

Substituting the given values:

Principal = $2200

Rate = 3% = 0.03

n = 4 (quarterly compounding)

t = 6 years

Interest = $2200 \(\times\) (1 + (0.03 / \(4))^{(4 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0075)^{(24)}\) - $2200

Interest ≈ $401.58 - $2200

Interest ≈ -$1798.42 (rounded to two decimal places).

2) An account with monthly compounding: After 6 years, the formula remains the same, but the compounding frequency changes:

   Principal = $2200

   Rate = 3% = 0.03

   n = 12 (monthly compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(12))^{(12 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0025)^{(72)}\) - $2200

Interest ≈ $401.99 - $2200

Interest ≈ -$1798.01 (rounded to two decimal places)

3) An account with daily compounding: Using the same formula with the compounding frequency:

   Principal = $2200

   Rate = 3% = 0.03

   n = 365 (daily compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(365))^{(365 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.000082)^{(2190)}\) - $2200

Interest ≈ $402.04 - $2200

Interest ≈ -$1797.96 (rounded to two decimal places)

In all three cases, the interest earned is negative, indicating that the accounts would have lost money rather than gained interest.

This suggests that there might be an error in the calculations or the provided interest rates. It's important to verify the given information to ensure accurate calculations and resolve any discrepancies.

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Option 1's airfare will set you back $2600.

The act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired. See.

We have been given that

For option 1

Airfare = $x

Hotel = $600

For option 2

Airfare = $0.75x

Hotel = $800

Only 10 family members can attend if they choose Option 1.

10x + $600 .........eq 1.

12 family members can attend the reunion if they choose Option 2.

12(0.75)x + $800

9x + $800 ........eq 2.

By using Eq (1) and Eq (2)

10x + $600 = 9x + $800

10x - 9x = $800 - $600

x = $200

Put the value of x in the eq (1)

Then we get 10x + $600

= 10 x 200 + $600

= 2000 + $600

=  $2600

Hence ,  the cost of airfare for Option 1 is  $2600.

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Answer: 27.5 miles per hour

Step-by-step explanation: 70 - 42.5 = 27.5

Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer:

Step-by-step explanation:

Answer: 221 yards

Step-by-step explanation:

Perimeter = 2 width + 2 length

Double the given width.

114 × 2 = 228

Subtract from total perimeter

670 - 228 = 442

Divide by 2

442/2 = 221

This question is incomplete, the complete question is;

In the year 2005, the age-adjusted death rate per 100,000 Americans for heart disease was 222.3. In the year 2009, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 213.4.

a) Find an exponential model for this data, where t = 0 corresponds to 1999

Answer:

the exponential model for this data will be; y = 222.3( 0.9898 )^t

Step-by-step explanation:

Given the data in the question;

{ 2005 }, at t = 0, death rate was 222.3

In 2009, { 2009 - 2005 = 4 }, at t = 4 death rate was 213.4

Now, let the exponential equation be;

y = ab^(t)

so at t = 0

222.3 = a × b^(0)

222.3 = a × 1

a = 222.3

at t = 4

213.4 = a × b^(4)

213.4 = 222.3 × b^(4)

b⁴ = 213.4 / 222.3

b = (  213.4 / 222.3 )^(1/4)

b = 0.9898

y = ab^(t)

Hence, the exponential model for this data will be; y = 222.3( 0.9898 )^t

Answer:

$1,422.87

Step-by-step explanation:

Answer: 1422.9

Step-by-step explanation:

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

y = 4/3x + 4

Step-by-step explanation:

The y intercept is 4. So if we look the 2 points are (-3,0) and (0,4)

So the run is 3 and rise 4

so 4/3 is the slope

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

5 yards,

Step-by-step explanation:

5 yards is 15 feet

150 inches is only 12.5 feet

Answer:

5 yards is bigger

Step-by-step explanation:

There are 3 feet in a yard. So 5 yards is:

5 × 3

= 15

... 15 feet.

And there are 12 inches in a foot. So

15 × 12

= 180

5 yards, which is 15 feet is 180 inches. That is bigger than the 150 inches in the question.

Answer:

it must be 0.5

Step-by-step explanation:

0.05 x 10 = 0.5

I want brainliest!!!

Answer:

12.57

Step-by-step explanation:

The 5 in the number 10.059 is placed at the hundredth place. i.e. the value of 5 in 10.059 is 0.05. Now, ten times the value of 5 = 10 × 0.05 =  0.5. Let us take 12.57. We see that 5 is placed at the tenths place and has value 10 times the value of 5 in 10.059. Hence, the number comes out to be 12.57.

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

10°

Step-by-step explanation:

angles on a straight line add up to 180°.

so 170 + x = 180

x = 180 - 170 = 10°

The equation is 3x - 8 = 0.

So, 5 is a solution if we replace x by 5 and we get 0 on the left side of the equation.

Then, replacing x by 5, we get:

3x - 8 = 0

3*5 - 8 = 0

15 - 8 = 0

7 = 0

Since 7 is different from 0, 5 is not a solution.

Answer: 5 is not a solution

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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A person who is paid earns a set income and is expected to work as many hours as necessary to complete a job earn a salary. Option D

A salary is the regular payment by an employer to an employee for employment that is expressed either monthly or annually, but is paid most commonly on a monthly basis,

A salary does not change on a weekly or monthly basis. Salaries are calculated annually, divided by twelve and paid out each month.

Workers on wages are typically paid time-and-one-half for every hour of overtime work

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Answer:

17 ^17

Step-by-step explanation:

Its power is bigger

You shouldn't be tricked because 31 is more than 17

Step-by-step explanation:

Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.

31¹³ < 32¹³

= (2⁵)¹³ = 2⁶⁵

= 2(2⁴)¹⁶ = 2 * 16¹⁶

< 16¹⁷ < 17¹⁷.

Hence 17¹⁷ is greater than 31¹³.

Answer: “fear of gangs that controlled”, “enforced a 6 p.m. curfew”, “shot on the spot”, and “bodies littered the dirty streets”.

Step-by-step explanation:

...........................................

The expression 3(x-2) is equivalent to 3x - 6.

When you distribute the 3 to the term inside the parentheses, you multiply 3 by x and by -2, resulting in 3x - 6.

This is because the distributive property states that for any real numbers a, b, and c, the expression a(b+c) is equivalent to ab + ac. In this case, we have a = 3, b = x, and c = -2, so we can apply the distributive property and get 3x - 6.

You can also think of it as 3 multiplied by (x-2)

3x - 32 = 3x - 6

Answer:

14in and 8in

Step-by-step explanation:

Lets say L is length and W is width.

L x W = 112 in^2

Because the the length and width are in a ratio of 7:4

Lets say

7x * 4x = 112

28x^2 = 112

Divide both sides by 28

x^2 = 112/28

x^2 = 4

Find the square root of both sides

x = 2

Substitute the value of x into our equation

7x * 4x = 112

7(2) * 4(2) = 112

14 *8 =112

And because 14 times 8 does equal 112 the length and width are 14 and 8.

Answer:

188,418

Step-by-step explanation:

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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