Tony’s deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?


Write your equation AND solve.

Answer:

Very Small as if the exponent is negative it means that the number is a fraction

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:percentage answer is 41.7% and for the fractions its 5/12

Step-by-step explanation:

for percentage to need to get the fraction to where the twelve in 7/12 is 100 so you multiply 8.3 to 12 and get 100 but you need to multiply it to the top too so you're left with 58.3/100 but that's the fraction of the goal made so what you do is subtract 58.3 from one hundred and you get 41.7 making your total 41.7%.

the way to solve the fraction is to start by subtracting the overall point to the points made and the sum would be the points missed and the point missed are 5/12 and that fraction is simplified to the max

Answer: 0.6

:) hope this helps you

Answer:

0.6

Step-by-step explanation:

\({ \tt{ \frac{3}{5} }} \\ \)

Multiply the numerator and denominator by 2;

\( = { \tt{ \frac{3 \times 2}{5 \times 2} }} \\ \\ = { \tt{ \frac{6}{10} }} \\ \\ = 0.6\)

Answer: C. 3 to 9

You simply add 1 to each given value (8 and 2)

The ratio 9 to 3 represents the ratio of water to salt, so 3 to 9 is the ratio of salt to water.

Edit: Realized I had the parts mixed up, but the solution has been fixed

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Based on the progressive tax rates, the state income tax owed on an $80,000 per year salary is $4,342.50.

With the progressive tax system, the tax rates increase as the taxable income of the eligible tax payer increases.

Thus, the progressive tax system does not impose a flat rate or amount on the tax payer.  Individuals with lower incomes pay less taxes.

Income Progressive Range ($)   Tax Rate

0 - 3000                                           2%

3001 - 5000                                     3%

5001 - 17,000                                   5%

17,001 and up                                  5.75%

Annual salary = $80,000

State Income Tax:

Income               Tax

$3,000 x 2% = $60

$2,000 x 3% = $60

$12,000 x 5% = $600

$63,000 x 5.75% = $3,622.50

$80,000   =       $4,342.50

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Answer:

option 2 and 3

b+6=11

b+4=9

Answer:

1. 8 - b = 13

Step-by-step explanation:

It says for which equation is b = 5 not the solution.

So, we need to plug in 5 into every b, and find out which one is incorrect.

1. 8 - 5 = 13 (incorrect)

2. 5 + 6 (correct)

3. 5 + 4 = 9 (correct)

4. 12 - 5 = 7 (correct)

Therefore, option 1 is the answer to your question.

Answer:28 degrees

Step-by-step explanation:

Answer:

28°

Step-by-step explanation:

Look at the angle, directly across from it and in no way touching the angle is the side with length 7. This side is OPPOSITE from the angle. The longest side, length 15, is the HYPOTENUSE. The trig function that uses Opposite and Hypotenuse is the sine function.

sin x = 7/15

Inverse sine will give you the angle given that you know the ratio (you do, its 7/15) on a calculator it will look like sin with a negative 1 exponent. It has nothing to do with exponents. Or it could be labelled arcain, sometimes abbreviated asin.

sin ^-1 (7/15)

= 27.8 approximately equal to 28°

Answer:

p<24

Step-by-step explanation:

move all terms not containg p to the right side of the inequality.

ineqyality form:p<24

The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

skewed to the right

Step-by-step explanation:

Given that

the mean household income for the last year was $46,200

And, the median was $37,800

In the case when the historgram is prepared so the income would be skewed to the right as the mean i..e $46,200 is more tha the median i.e. $37,800

So, the distribution would be right skewed

Hence, the same would be considered and relevant

Point A will correspond to the top most point will be A'.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in angles.

The trapezoid ABCD is rotated 90° counterclockwise about the origin.

Then point A will correspond to the top most point will be A'.

The diagram is shown below.

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In order to find the simplest form of an expression we find the terms with the same unkown values. For the following expression

4x - 3 - 6y + (-22) - 2y + 7​

we have that

terms with x: +4x

terms with y: -6y and -2y

numbers: -3, -22 and +7

We combine like terms, that means that we add the terms with the same unkowns:

terms with x: +4x

terms with y: -6y -2y = -8y

numbers: -3 - 22 + 7 = -18

And now, we replace the results in the original equation:

4x - 3 - 6y + (-22) - 2y + 7​

= 4x - 8y - 18

Answer: its simplest form is 4x - 8y - 18

Answer:

A. 21

B. The age group that are 40

c. 2 participants

D. 33.3% ?

Step-by-step explanation:

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer:

$8 an hour

Step-by-step explanation:

1.) 92 - 20 = 72

2.) 3 x 8 = 24

3.) 6 x 8 = 48

4. 24 + 48 = 72

         OR

1.) 92 - 20 = 72

2.) 6 + 3 = 9

3.) 72 / 9 = 8

either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart

Answer:

I don’t know exactly what ur asking but I hope this helps

Step-by-step explanation:

6.33

NOT Answer:

i would be glad to answer this but whats a quotient

sory

Option D, y = cos x, is a function with a period of 2.

A function's period is the separation between two successive points on its graph that have the same value. The period of a function in trigonometry is the separation between two successive peaks or valleys on the graph. The coefficient of the variable in the trigonometric function determines the period of the function, which is correlated to the wavelength of a wave.

Option D, y = cos x, is a function with a period of 2. The separation between two successive peaks or valleys on the graph is known as the period of a trigonometric function.

A trigonometric function's period may often be calculated by dividing 2 by the absolute value of the coefficient of x. The period is 2π/1 = 2π for the function y = cos x, where x has a coefficient of 1.

Because the coefficient of x is 2, Option A, y = 3 cos 2x, has a period of π and a period of 2π/2 =.π.

Due to the fact that z is the coefficient of x, option B, y = -4 sin zx, has a period of 2π/z.

Given that the coefficient of x is 3, Option C, y = 2 sin 3x, has a period of 2π/3.

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The 10% condition when constructing a confidence interval for a population proportion states that the sample size should be less than 10% of the population size.

This is expressed mathematically as follows:

n/N < 0.10

Where n is the sample size and N is the population size. For example, if the population size is 500, then we must ensure that the sample size is less than 50 (500 x 0.10 = 50). This is because if the sample size is larger than 10% of the population size, then the confidence interval will not be reliable. In other words, the results of the confidence interval may be inaccurate and biased.

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A formula that describes the average revenue per person is:

average revenue per person = 1.4w

Average revenue per person is the ratio of the total revenue received to the number of people. It is calculated by dividing total revenue by the number of people.

We have:

Total revenue formula, M = 350w⁴

Total number of people formula, T = 250w³

Thus,

Average revenue per person = M/T

Average revenue per person = 350w⁴/250w³

Average revenue per person = 1.4w

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The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Using the properties of alternate angles, the value of x = 8 and ∠ A = 30

A transversal that crosses two parallel lines produces alternate exterior angles. They form two pairs (four total angles) of alternate outside angles since they are situated "outside" the two parallel lines but on different sides of the transversal.

For the given question,

∠A=6x−18

∠B=14x+38

As, both parallel lines are intersected by a transversal,

the value of angle ∠A and ∠180 - B is same as they are alternate angles,

⇒ 6x−18 = 180 - 14x - 38

⇒ 6x + 14x = 142 + 18

⇒ 20x = 160

⇒ x = 8

∠A = 6x−18

⇒ ∠ A = 30

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Correct question -

Answer:

Step-by-step explanation:

8 ÷ (⅓) = 8 × (3/1) = 24

An orthonormal set is a set of orthogonal unit vectors.

Normalization is the process of making unit vectors.

A set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.

Two vectors are orthogonal when their dot product equals zero.

An orthonormal set is one in which each vector has length 1 and is orthogonal.

The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".

An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.

To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.

Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.

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The given question is incomplete,

So , I take another question, The question is:

How to normalize vectors to produce an orthonormal set?

Step-by-step explanation:

100% - 25% off = 75%

Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.

75/100 × X = $60

75X/100 =$60

( cross multiply)

75X=100×60

75X= 6000

X=6000÷75

X= $80

The bar was x units long.

Your friend took 1/4x

Subtract what your friend took from the original length:

X - 1/4x = 3/4x remaining.

Answer: 0.05412

Step-by-step explanation:

Formula : Odds of having an event is given by  \(o=\dfrac{p}{1-p}\), where p = probability that event happens.

In terms to find p , we use \(p=\dfrac{o}{1+o}\)

Given, he back of the ticket lists the odds of winning each dollar value: 0.05 for $10, 0.04 for $25, 0.01 for $50, and 0.003 for $100.

Let X be the worth of ticket.

Then, the probability that the ticket is worth at least $25 =

\(P(X\geq 25)=P(X=25)+P(X=50)+P(X=100)\)

\(=\dfrac{0.04}{1+0.04}+\dfrac{0.01}{1+0.01}+\dfrac{0.003}{1+0.003}\\\\=0.05135\)

The odds that the ticket is worth at least $25 = \(\dfrac{0.05135}{1-0.05135}\)

=0.05412

hence, the odds that the ticket is worth at least $25 is 0.05412 .