Caroline invested $80,000 in an account paying an interest rate of 8 1/8% compounded
daily. Qasim invested $80,000 in an account paying an interest rate of 7 3/4/%
compounded quarterly. After 10 years, how much more money would Caroline have
in her account than Qasim, to the nearest dollar?

PLEASE HELP!

The number of additional red marbles to be added to the total 24 marbles present in the bag is 16 marbles.

What is Probability?

From the question, it is given that the,

Number of Red marbles = 8

Number of Yellow marbles = 9

Number of Green marbles = 7

So, the total number of marbles = 8 + 9 + 7 = 24

Let [tex]x[/tex] be the additional number of red marbles added to the bag.

The total number of red marbles after the addition of [tex]x[/tex] red marbles into the bag = [tex]8+x[/tex]

The total number of all marbles after the addition of [tex]x[/tex] red marbles into the bag = [tex]24+x[/tex]

The probability of randomly drawing a red marble is given as equal to [tex]\frac{3}{5}[/tex]

We know that, the probability of randomly drawing a red marble is equal to the ratio of the total number of red marbles to the total number of all marbles.

---> P(R) = n(R)/n(T)

Substituting the given values, we get

3/5 = 8+x / 24+x
---> 5(8+x) = 3(24+x)
---> 40 + 5x = 72+3x

Solving, we get

5x - 3x = 72 - 40
---> 2x = 32
---> x = 16

Therefore, the additional number of red marbles to be added to obtain the required probability is equal to 16.

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The coordinates of the image of the point (−9,−3) under the same translation will be (-7,-5).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that the image of the point (-3, -6) under a translation is (-1, -8).

The coordinate by which the first given condition is translated as,

(-3, -6) - (x,y) =  (-1, -8)

(x,y) = (-3, -6) - (-1, -8)

(x,y) =(-3-(-1), -6-(-8)

(x,y) =(-3+1),(-6+8)

(x,y) =(-2,+2)

The coordinates of the image of the point (-9, -3) are under the same translation obtained as,

=(−9,−3)- (-2,+2)

=(-9-(-2) , (-3-(+2))

=(-9+2),(-3-2)

= -7,-5

Thus, the coordinates of the image of the point (−9,−3) under the same translation will be (-7,-5).

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The value of x and y in the similar triangles are 10 and 12 respectively.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

In other words, similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other

The triangles ABC and MPN are similar triangles.

Therefore,

∠A = ∠M

∠B = ∠P

∠C = ∠N

Hence, let's find x and y using the proportion as follows:

[tex]\frac{AB}{MP}=\frac{BC}{PN}=\frac{AC}{MN}[/tex]

Hence,

PN = y

MP = x

Therefore, let's find x

[tex]\frac{9}{6}=\frac{15}{x}[/tex]

cross multiply

9x = 90

x = 90 / 9

x = 10

Let's find y

[tex]\frac{9}{6}=\frac{18}{y}[/tex]

cross multiply

9y = 108

y = 108 / 9

y = 12

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Answer:

y=12

x=34

Step-by-step explanation:

x+y=46

3y-2=x

(3y-2)+y=46

4y-2=46

   +2.  +2

4y=48

/4.  /4

y=12

x+12=46

 -12.  -12

X=34

Hopes this helps please mark brainliest

1. The revised annual depreciation on December 31, 2022, is $3,650.

2. The journal entry to record depreciation on December 31, 2022 is as follows:

Debit Depreciation Expense $3,650

Credit Accumulated Depreciation $3,650

To record the depreciation expense for the year.

3. The balance in Accumulated Depreciation for Equipment on December 31, 2022, is $37,150.

Cost of equipment = $75,000

Purchase date = July 1, 2019

Estimated useful life = 5 years

Salvage value = $8,000

Depreciable amount = $67,000 ($75,000 - $8,000)

Annual depreciation expense = $13,400 ($67,000/5)

Accumulated Depreciation for two and half years to December 2021 = $33,500 ($13,400 x 2.5)

Book value after 2.5 years = $41,500 ($75,000 - $33,500)

New estimated useful life = 10 years

Revised salvage value = $5,000

Revised depreciable amount = $36,500 ($41,500 - $5,000)

Revised annual depreciation expense = $3,650 ($36,500/10)

Accumulated Depreciation on December 31, 2022 = $37,150 ($33,500 + $3,650)

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The expression we get from the given functions f and g defined for all real numbers x.

(f+g)(x)=4x+1

(f-g)(x)=2x+11

(f.g)(3)=-30

Given that,

All real numbers x are defined by the functions f and g.

f(x)=3x+6

g(x)=x-5

We have to find the expression

(f+g)(x), (f-g)(x) and (f.g)(3)

Take the functions,

f(x)=3x+6

g(x)=x-5

Now, First

(f+g)(x)

f(x)+g(x)           (Substitute in the place of f and g functions)

Which is

3x+6+x-5

4x+1

(f+g)(x)=4x+1

Now, second

(f-g)(x)

f(x)-g(x)

Which is

3x+6-(x-5)

3x+6-x+5

2x+11

(f-g)(x)=2x+11

Now, third

(f.g)(3)

f(3)×g(3)

Which is

(3(3)+6)×((3)-5)

(9+6)×(3-5)

15×-2

-30

(f.g)(3)=-30

Therefore, The expression we get from the given functions f and g defined for all real numbers x.

(f+g)(x)=4x+1

(f-g)(x)=2x+11

(f.g)(3)=-30

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Answer:

They spent a total of 1 and 1/2 hours swimming.

Step-by-step explanation:

It is because 1 1/4 plus 1 1/4 equals 1 2/4 which mean 2/4=1/2 so in total they spent 1 1/2 hours swimming

Making the subject as x, the expression is x = u/9

The given equation is

9x = u

It can be written as

u = 9x

We need to make x as the subject in the given expression

9x = u

u = 9x

here u is the subject

9x = u

x = u/9

Therefore, making the subject as x, the expression is x = u/9

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The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

Given,

Consider the interview of a person is a trial.

Lets consider it success if a person  owns a dog and consequently , a person without a dog will be a failure.'

Let the random variable X represent the number of persons to be interviewed to get 5 dog owner: in other words, to get 5 successors.

Probability of a success in each trial is p = 0.3. Therefore probability of a failure in each trial is q = 1 - p = 0.7 .

Because trials are independent. X has a negative binomial distribution with parameters k = 5, p = 0.3

P(X =x ) = b(x: k, p) = [tex][(x-1)(k-1)] p^kq^r^-^k[/tex]

where, x = k , k + 1 , k + 2......(1)

Now, Lets find the probability that the tenth person randomly interviewed in that city is the fifth one to own a dog

Using equation (1), we get:

P(X = 10) = b(10: 5, 0.3)

                = [(10-1) (5 - 1)][tex](0.3)^5(0.7)^1^0^-^5[/tex]

               = [(9)(4)] [tex](0.3)^5(0.7)^1^0^-^5[/tex]

               = 0.05146

Hence, The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

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The size sample that should be taken so that at 95% confidence the margin of error will be 2 months or less is:47.0596.

Using this formula to find the sample size

n = z² × σ² / e²

Where,
n = sample size =?

z = z-score = 1.96

σ = Standard deviation = 7 months

e = Margin of error = 2 months or less

Let plug in the formula

n = (1.96²× 7²) /2²

n = 3.8416 × 49 / 4

n =47.0596

Therefore the sample size is 47.0596.

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The best firm for the Appliance manufacturer for the repair work is Firm 2 .

In the question ,

it is given that ,

An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis .

The acceptable range of the repair time is 50 minutes to 90 minutes.

the mean repair time for firm 1 = 74 minutes and standard deviation of 4 minutes .

the mean repair time for firm 2 = 72 minutes and standard deviation of 5.1 minutes .

the range is calculated using the formula

Range = Mean ± Standard Deviation

So , for firm 1 ,

the Range = 74 ± 4

= 74 [tex]+[/tex] 4       and      74 - 4

= 78     and   70

the range for firm 2 is

= 72 ± 5.1

= 72 [tex]+[/tex] 5.1      and      72 - 5.1

= 7.1        and       66.9  

The second company has a lower range and it should be preferred .

Therefore ,  The best firm for the Appliance manufacturer for the repair work is Firm 2 .

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Answer: Area of triangle=30 cm²

Step-by-step explanation:

Let's name the triangle ABC.

Assuming these are the 3 sides of the triangle, and naming them a,b,c.

a=5 cm

b=13 cm

c=12 cm

Semi perimeter of the triangle ABC= s = (a+b+c)/2

s=(5+13+12)/2 =30/2=15.

Area of triangle ABC= √(s * (s-a)*(s-b)*(s-c)

                                  =  √(15*(15-5)*(15-13)*(15-12)

                                  =  √15*10*2*3

                                  = √150*6

                                  =√900

                                   =30 cm²

Area of triangle ABC = 30 cm².

The point Q'(x, y) = (- 1.5, - 1.5) is located in quadrant III and 3 units away from point Q(x, y) = (1.5, - 1.5).

In this question we find the location of an ordered pair on the coordinate plane and we are asked to find a possible solution that is in quadrant III and three units away from the original point.

A point (x, y) is in the quadrant III if x < 0 and y < 0 and we can determine a resulting point by using the following translation formula:

(x, y) → (x - 3, y)

If we know that (x, y) = (1.5, - 1.5), then the resulting point is:

Q'(x, y) = (1.5, - 1.5) + (- 3, 0)

Q'(x, y) = (- 1.5, - 1.5)

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Answer:

Step-by-step explanation:

divide by R

Jenni wrote the converse statement properly, however the statement is false, hence the correct option with a counter example is:

Yes; two angles that each measure 41°.

A conditional statement is written as follows:

p -> q.

In which the terms of the conditional statement are listed as follows:

In this problem, the statement is:

If angles are right angles, then the angles have the same measure.

Hence the terms is:

For the converse statement, the hypothesis and the conclusion are exchanged, hence:

q -> p.

Thus the converse of Jenni's statement is:

If two angles have the same measure, then they are right angles.

Which means that she wrote the converse statement properly.

However, the angles do not necessarily need to measure 90º, they only need to have the same measure, hence the correct option is:

Yes; two angles that each measure 41°.

The complete problem is:

Jenni wrote a conditional statement and its converse.Conditional: If angles are right angles, then the angles have the same measure.Converse: If angles have the same measurement, then they are right angles.Did Jenni write the converse statement properly? Give a counterexample to dispute the validity of the converse statement.No; two angles that each measure 45°Yes; two angles that each measure 90°Yes; two angles that each measure 41°No; two angles that each measure 82°.

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Answer: 16

Step-by-step explanation:

To *increase* 24 in the ratio 2:3

To *increase* a quantity in given ratio consider new quantity and old quantity.

Formula: New quantity:old quantity=given ratio solution: let us take the new quantity as x, old quantity as 24(given) and given ratio=2:3(given)

-> x:24=2:3

-> x/24=2/3

-> Multiply with 24 on both sides to get x

-> 24*x/24=2/3*24

-> x=16

So, the *increase* of 24 in the ratio 2:3 is 16

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Answer: The size of the sugar order decreased by 40%.

Step-by-step explanation:

1,090 is 100%

654 is 60% of 1,090 (1,090 ÷ 0.6 = 654)

1,090 - 654 =  436, and 436 is 40% (0.4) of 1,090

1,090 (100%) - 436 (40%) = 654 (60%)

The percent of the decrease in the size of the sugar order is 40%.

Answer:

Slope is the same thing as gradient

The formula is

y2-y1/x2-x1

where y2 is =8

y1 is =5

x2 is=-7

x1 is =-4

when we substitute, your answers will be

= -1

Answer:

It is 120/529

Step-by-step explanation:

The steps are:
Step 1: When we divided, we change the dividing fraction into mutiplying fraction at the last fraction: 5/23 x 24/23
Step 2: We mutiply it on each row like 5 x 24 & 23 x 23
Step 3: When we finished with the answer, we put it like the order of the fraction: 120 & 529 so we get 120/529

Thats all the step by step explaination!


Please mark me brainliestttttttttttttttttttttttttttttttttttttttttttttttt !!!!!!!!!!!!!!!!!!!!!!!!11

The amount in terms of the original amount is $1,404 and the year end amount is $6,604.

a. Original amount

Original amount = 5200 - (5200× .27)

Original amount = $5200 - $1,404

Original amount = $3,796

b. Year-end amount

Year-end amount  = 5200+  $3,796

Year-end amount =$8996

Therefore the original amount is $3,796 and the year end is $8996.

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Answer:

[tex]-\frac{1}{2}(x-1)[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{3-1}{1-5}=-\frac{1}{2}[/tex].

Using the point (1,3), the equation is [tex]y-3=\boxed{-\frac{1}{2}(x-1)}[/tex].

A polynomial that satisfies given conditions is:

P(x) = x³ - x² + 81x - 81

In this question, we need to find a polynomial that satisfies given conditions.

We have been given that -9i is a root of polynomial.

This means, the conjugate of -9i that is, 9i must be a root of polynomial p.

From given information we can say that the zeros of polynomial p(x) must be (x - 1), (x + 9i), and (x - 9i)

So, we get a polynomial p(x) = 0

(x - 1)(x + 9i)(x - 9i) = 0

(x - 1)(x² - (9i)²) = 0

(x - 1)(x² - (-81)) = 0

(x - 1)(x² + 81) = 0

x³ - x² + 81x - 81 = 0

Therefore, a polynomial that satisfies given conditions is:

P(x) = x³ - x² + 81x - 81

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The value of 12 - x can at most be 4 for the given inequality and it is true therefore, all itineraries are possible.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say the day spend in Benin, Ghana and Togo are B, G, and T respectively.

As per the given,

B + G + T = 30

Here, 2 ≤ B ≤ 12, G ≤ 13, and T ≤ 9.
(12 - B) + (13 - G) + (9 - T) = -30 + 12 + 13 + 9 = 4

Also, B ≥ 2 or B ≤ -2 ⇒ 12 - B ≤ 12 - 2 = 10

Hence "The value of 12 - x can at most be 4 for the given inequality and it is true therefore, all itineraries are possible".

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Answer:

$1036.28

Step-by-step explanation:

Marking something up by 100% means doubling the price. Let's do this step first:

863.57 * 2 = 1727.14

Next, the discount is 40%

I would find this by taking the 10% value, multiplying that by 4 and subtracting that from our new value

10% = 172.714

40% = 690.856

Now our newest value:

1727.14 - 690.856

1036.284

Round to 2 decimal places (as is proper when dealing with cents):

1036.28

Thus, our newest (discounted) price is:

$1036.28

The number of different codes available is 4500 unique codes

What is digit?
A positional numeral system uses a single symbol, such as "2," or a combination of symbols, such as "25," to represent numbers. This single symbol is known as a numerical digit. The word "digit" derives from the fact that ten fingers (Latin: digiti) on each hand correspond to the ten numeral symbols used in the base-10 system, or decimal digits (Old Latin: decem, meaning "ten"). The absolute value of the base determines how many different digits are necessary for a given numeral system with just an integer base. For instance, the binary system (base 2) only needs two digits, whereas the decimal system (base 10) necessitates ten digits (0 through 9). (0 and 1).

The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

There are nine options because the first digit cannot be 0. (assuming 1 can be the first digit as well as all others)

There are 10 options for the second digit, third digit, fourth digit, and fifth digit.

4 digits must be odd, giving you 5 options (1,3,5,7,9)

9*10*10*5=4500 unique codes

Hence, there are 4500 unique codes available

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Markus' biweekly earnings (gross pay every two weeks) are $2,727.16.

The annual gross pay can be divided by 26 to get the biweekly earnings.

Another way to compute the biweekly earnings is by adding up the withholding taxes, deductions, and net earnings.

In practice, the net earnings are equal to the gross pay less withholding taxes and deductions.

Annual gross pay = $65,500

Payment period = biweekly (1st and 15th every month)

Social Security = $156.19

Medicare =            36.53

Federal tax  =     445.96

Total withholding = $636.68

Retirement = $45

Health Insurance = $200

Total deductions = $245

Net Earnings = $1,845.48

Biweekly ross pay (earnings) = $2,727.16 ($636.68 + $245 + $1,845.48)

Thus, Markus earns $2,727.16 every two weeks.

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9664.9 is the  Blanche's balance be from Account 2 over 5.5 years

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has determined that her two best bets are an account that compounds semi-annually at an annual rate of 3.7%

an account that compounds daily at an annual rate of 3.9% (Account 2).

We need to find how much Blanche's balance be from Account 2 over 5.5 years

A = p(1 + r/n)nt

A = 7900(1 + 0.037/2)²ˣ⁵⁵

A ≈7900(1 + 0.0185)^11

A ≈ 7900(1.0185)¹¹

A ≈ 7900(1.223)

A=9664.92

9664.9 is the  Blanche's balance be from Account 2 over 5.5 years

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[tex]p = \frac{kd^{2}}{u}[/tex] is an equation that expresses the relation.

Directly proportion means if variable x and y varies equally.

Increment of one variable result to another one.

The ratio of these variable remains same throughout.

Inversely proportion means if one variable increases the second one will decreases. It is opposite of directly proportion.

According to the question,

p varies directly. with the square of d and inversely with u

p ∝ d²

p ∝ 1/u

Combining both the equation,

p ∝ d²/u

Putting k as the constant

p = kd²/u is our required equation

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Answer: 5/8

Step-by-step explanation:

remove the +'s because -'s are more valued. -1/5 is 0.2 and because we're subtracting 1.45-0.2 its 1.25. -5/8 = 0.625 and if you subtract 1.25-0.625 its 0.625 so its just 5/8

[tex]\frac{5}{8} .[/tex]

[tex]1.45 + (-\frac{1}{5} )+ (-\frac{5}{8} )[/tex]

[tex]1.45 -\frac{1}{5} -\frac{5}{8}[/tex]

[tex]\frac{145}{100} -\frac{1}{5} -\frac{5}{8}[/tex]

[tex]\frac{145/5}{100/5} -\frac{1}{5} -\frac{5}{8}\\ \\\frac{29}{20} -\frac{1}{5} -\frac{5}{8}[/tex]

Note. You always need to multiply each fraction by the same number on both numerator and denominator.

[tex]\frac{29*2}{20*2} -\frac{1*8}{5*8} -\frac{5*5}{8*5}\\ \\\frac{58}{40} -\frac{8}{40} -\frac{25}{40}[/tex]

[tex]\frac{58-8-25}{40} \\ \\\frac{25}{40}[/tex]

[tex]\frac{25/5}{40/5}\\ \\\frac{5}{8}[/tex]

[tex]1.45 + (-\frac{1}{5} )+ (-\frac{5}{8} )= \frac{5}{8} .[/tex]