You deposit $5000 into an account that earns 6% annual interest. Fine the balance after 12 years when the interest is compounded monthly.

The probability that at least one calculator will be defective is 0.7305.

The probability that at least one of the calculators is defective can be calculated using the formula:

P(at least one defective calculator) = 1 - P(no defective calculator)

The probability of selecting a defective calculator from the group of defective calculators is 16/46.

Since the calculators are selected randomly, the probability of selecting a non-defective calculator is 30/46.

Therefore, the probability of selecting 4 non-defective calculators from the group of 46 calculators is:

30/46 × 29/45 × 28/44 × 27/43 = 0.2695 (rounded to 4 decimal places)

Using the formula above, we can calculate the probability that at least one calculator will be defective:

P(at least one defective calculator) = 1 - P(no defective calculator)P(no defective calculator)

                                                         = 1- 0.2695 P(at least one defective calculator)

                                                         = 1 - 0.2695

                                                         = 0.7305

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Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

Answer: X = 7

Step-by-step explanation: 5x=35

5x = 35

5       5

x=7

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Size of x = 102°

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

In triangle ABC

Sum of interior angles is 180°

∠CAB + ∠ABC + ∠BCA = 180°

87° + ∠ABC + 36° = 180°

123° + ∠ABC = 180°

∠ABC = 180° - 123°

∠ABC = 57°

In triangle DBG

Exterior angle is equal to sum of two opposite interior angles.

DGF = GDB + DBG

DGF = GDB + ABC

DGF = 45° + 57°

DGF = 102°

DGF and EFC are alternate angles made by EF and DG on BC

∴ EFC = DGF

x = 102°

Hence, 102° is size of x.

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Answer:

It depends.

Step-by-step explanation:

If it is two straight lines, then no, there is no way for the lines to intersect in more than one place. If the line is a parabola, then the lines would intersect in 2 places. It depends on what type of line you have.  

Answer:

i think 3 sorry if i wrong

Step-by-step explanation:

Answer:

Should be 10- (-2) lemme know if im wrong

Step-by-step explanation:

The answer is 10-(-2)

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

The height of the base if it is 2 in. Wide is 3 inches

The volume of rectangular prism =  \(\dfrac{1}{2} \times Lenght \times Base \times hieght\)

The volume of given rectangular prism = \(12 inch ^{3}\)

Length of prism = 4 inch

The base of prism = 2 inch

By putting the values in the formula

\(12= \dfrac{1}{2} \times 4 \times 2\times Height\)

so from the above calculations

\(height=3 inches\)

Thus the height of the base if it is 2 in. Wide is 3 inches

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Answer: I don't know

Step-by-step explanation:

Mark me as brainiest

Answer:

it's help me ttoo

Step-by-step explanation:

i need help with mathh please im going to fail

Answer:

the area is 48

Step-by-step explanation:

The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.

To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:

(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575

Therefore, the best answer to report is C. 25.8575.

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To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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Answer:

The answer is C

Step-by-step explanation:

Both A and B.

Answer:

after 11.07secs

Step-by-step explanation:

Given the height of an object modeled by the equation

H = 16T² - 1960

The height of the object on the surface of water is zero, hence H = 0

Substitute

0 =16T² - 1960

Swap

16T² - 1960 = 0

16T² = 1960

T² = 1960/16

T² = 122.5

T = 11.07

Hence the rock will hit the surface of the water after 11.07secs

The expressiοn (B) 2 × 4 × 5 × 1/3 × 1/3 × 1/3 can be used tο find the vοlume οf the rectangular prism is cubic yards.

A mathematical equatiοn links twο statements and utilises the equals sign (=) tο indicate equality. In algebra, an equatiοn is a mathematical assertiοn that prοves the equality οf twο mathematical expressiοns. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical fοrmula may be used tο determine hοw the twο sentences οn either side οf a letter relate tο οne anοther. The lοgο and the particular piece οf sοftware are usually identical. like, fοr instance, 2x - 4 = 2.

Vοlume is calculated using the fοrmula LWH

Here each cube has side 1/3 yd

Sο vοlume = (2 × 1/3) × (4 × 1/3) × (5 × 1/3)

It can be written as 2 × 4 × 5 × 1/3 × 1/3 × 1/3

Thus, οptiοn B is cοrrect.

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Complete question:

Answer:

354

Step-by-step explanation:

Pls Trust me

764 total miles would ruby have run. This can be solved by the concept of geometric sequence.

When two subsequent terms in a numerical series have a constant ratio, the sequence is said to be geometric. The geometric sequence's common ratio is the name of this constant.

Similar to an arithmetic sequence, the initial term a, and the common ratio r determine the entirety of a geometric series. Therefore, we may get the equation for the nth term of a geometric series if we know the first two terms.

Given that,

she runs 7 miles the first week (a₁)

increases the number of miles she runs by 10% each week

she keeps up this plan for 26 weeks.

Let us, assume,

a(n) represents no. of miles she runs at nth week.

a(n) is in geometric sequence.

now, a(n) / a(n-1) = 1 + 10% = 1.1     (increased by 10%)

So, the sum of first nth terms:

S(n) = a(1)[ 1 - rⁿ] / (1 - r)

S(n) = 7 [ 1 - (1.1)ⁿ] / (1 - 1.1)

S(n) = 70 [ (1.1)ⁿ - 1]

Now, n = 26

So, S(26) = 70 [ (1.1)²⁶ - 1]

S(26) = 764 miles.

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Answer:

18/7

Step-by-step explanation:

check this might work as I simply

Answer:

w = -12

Step-by-step explanation:

You basically have 90% of the question done. You just needed to divide -60 by 5 and then get -12.

Good Luck!!!!!

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

Explanation:

You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.

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

To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.

-25 = 35 + 5w

-25 = 35 + 5(-12)

-25 = 35 - 60

-25 = -25

We end up with the same thing on both sides, so the answer is confirmed.

Answer:

60 sedans

Step-by-step explanation:

The computation of the number of sedans sold in 2000 is given below:

Given that

The ratio of sedans and SUV is 5:4

And, in 2010 its ratio is 2:7

Now in 2010, 84 SUVs sold

So

84 SUVS = 7

For total 9, it would be

= 84 × 9 ÷  7

= 108 vehicles

Now the number of sedans is

= 108 × 5 ÷ 9

= 60 sedans

Answer:

x = 29.44

Step-by-step explanation:

\(tan31^{o} =\frac{x}{49}\)

\(x=49tan31^{o}\)

\(x=29.44\)

Hope this helps

The time it takes the ball to strike the ground after it is thrown, found using the kinematic equation, H = -16·t² - 24·t + 200 is approximately 2.86 seconds

A kinematic equation is an equation of the motion of an object moving with a constant acceleration.

The direction in which the ball is thrown = Downwards

Height of the building = 200 foot

Initial velocity of the ball = 24 ft./s

The kinematic equation that indicates the height of the ball after t seconds is, H = -16·t² - 24·t + 200

At ground level, H = 0, therefore;

H = 0 = -16·t² - 24·t + 200

-16·t² - 24·t + 200 = 0

-2·t² - 3·t + 25 = 0

t = (3 ± √((-3)² - 4 × (-2)×25))/(2×(-2))

t = (3 ± √(209))/(-4)

t =  (3 + √(209))/(-4) ≈ -4.36 and t =  (3 - √(209))/(-4)) ≈ 2.86

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Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to \($416.70.\)  

In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.

Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.

Given,

The monthly wage is  \($2,415.64\) dollars.

After expenses, discretionary funds equal 54% of monthly revenue.

Fixed monthly expenses equal \((100–54%)%\) of overall monthly income.

\(= 46%\)  of monthly gross revenue

\(= 0.46 × 2,415.64\)

\(= $ 1,111.1944\)

Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.

\(= 3 × 1,110.5544 = $ 3331.6632\)

This money will be conserved in 8 months, so

As a result, the monthly savings equal 1/8 of \($ 3331.6632\) .

\(= $ 416.6979 ≈ $ 416.70\)

Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to \($416.70\)  .

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The above question is incomplete, the complete question is given below:

Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months

Refer to the attachment

Answer:

Step-by-step explanation:

1 Ton  is equivalent to 2204.62 pounds

and 200 billion = 200.000.000.000 pounds

So, if we want to know how many tons there are in 200 billion pounds, We must apply a simple rule of three.

Then

1 Ton -------------------------2204.62 pounds

  X    -------------------------200.000.000.000 pounds

\(X=\frac{1 ton * 200.000.000.000 pounds}{2204.62 pounds} =90.718.581,89 tons\)

So, We can say that United States exports over 90 million tons of coal

Answer:

perpendicular gradient = \(\frac{1}{3}\)

Explanation:

In parallel, the gradient is same. m1 = m2

using formula: m1 * m2 = -1

         solve: