How much would $300 invested at 4% interest compounded monthly beworth after 8 years? Round your answer to the nearest cent.A10) = P(1+)

Answer:

Simplifying

x2 = 16x + -28

Reorder the terms:

x2 = -28 + 16x

Solving

x2 = -28 + 16x

Solving for variable 'x'.

Reorder the terms:

28 + -16x + x2 = -28 + 16x + 28 + -16x

Reorder the terms:

28 + -16x + x2 = -28 + 28 + 16x + -16x

Combine like terms: -28 + 28 = 0

28 + -16x + x2 = 0 + 16x + -16x

28 + -16x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0

28 + -16x + x2 = 0

Factor a trinomial.

(2 + -1x)(14 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying

14 + -1x = 0

Solving

14 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 0 + -14

-1x = 0 + -14

Combine like terms: 0 + -14 = -14

-1x = -14

Divide each side by '-1'.

x = 14

Simplifying

x = 14

Solution

x = {2, 14}

Step-by-step explanation:

I type fast lol

Answer:

2

Step-by-step explanation:

Evaluate [5 + (-9)] ÷ [(-4) + 2]

Answer:

2

Step-by-step explanation:

[5 + (-9)] ÷ [(-4) + 2]

= [5 -9] ÷ [-4 + 2]

= -4 ÷ -2

= 2

Answer : 3 cups

Explanation: if the sugar is as twice as much as butter we need 2 cups of sugar if flour is 3 times as much as sugar we’ll need 6 cups half of 6 is 3

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

Answer:

x=7,3

Step-by-step explanation:

x^2-8x+14=2x-7

Add 8x to both sides.

x^2+14=10x-7

Add 7 to both sides.

x^2+21=10x

x^2+7*3=10x

(x*7)+(x*3)=10x

x=7,3

Hope this helps plz hit the crown :D

Answer:

Given that,

Calvin has three alarm clocks which sound at different intervals.

Clock A goes off every 10 minutes

Clock B every 15 minutes

Clock C every 20 minutes.

To find: the three clocks sound together every _minutes

The three clock sounds together for every least common minutes of the 3 clocks (A,B,C)

To find LCM of 10,15,20.

we get,

LCM of 10,15,20 is 60

Therefore we get that,

The three clock sounds together for every 60 minutes.

Answer is:

The three clock sounds together for every 60 minutes.

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: \: \: 9.6 = 1.2b}}\)

Swap the sides of the equation

\( \hookrightarrow{ \sf{1.2b = 9.6}}\)

Divide both sides by 1.2

\( \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}\)

Calculate

\( \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}\)

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

Answer:

\(y=\frac{3}{7} x-\frac{9}{7}\)

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need to first find the slope of the line. To do this, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, we have the points (–7, –3) and (–14, –6), so our formula becomes:

slope = (-6 - (-3)) / (-14 - (-7)) = -3 / -7 = 3/7

We can now use the point-slope formula to find the equation of the line:

y - y1 = m * (x - x1)

where m is the slope and (x1, y1) is a point on the line. In this case, we have m = 3/7 and (x1, y1) = (-7, -3), so our equation becomes:

y - (-3) = (3/7) * (x - (-7))

We can now rearrange this equation to put it into slope-intercept form:

y = (3/7) * x + (3 * (-7) / 7) = (3/7) * x - 9/7

Therefore, the equation of the line in slope-intercept form is y = (3/7) * x - 9/7.

Answer:

1.5 or 1 1/2

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

put it in a fraction so its 45/30 then divide both sides by 15 since they are divisable by 15.

45/30 divided by 15/15 is 3/2 which is equal to 1.5

The individual purchased office supplies worth PHP 5,000 on credit from National Bookstore.

When someone makes a purchase on credit, they are essentially taking out a loan to buy the item(s) and agreeing to pay back the amount owed at a later date. In this case, the individual purchased office supplies worth PHP 5,000 on credit from National Bookstore. This means that the individual did not pay for the supplies at the time of purchase, but instead received the supplies and agreed to pay the store back at a later date. The terms of the credit agreement, including the interest rate and payment due dates, would have been outlined at the time of the purchase.

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The transaction includes debiting the office supplies expense account for $5,000 and crediting the accounts payable account for $5,000.

When a business purchases office supplies on credit from a vendor like National Bookstore, the accounting entry to record this transaction would typically include debiting the office supplies expense account and crediting the accounts payable account.

Debiting the office supplies expense account reflects the increase in expenses related to acquiring the supplies while crediting the accounts payable account represents the liability owed to National Bookstore. This entry accurately reflects the financial impact of the transaction and ensures proper recording of the purchase in the company's financial records.

Full question:

She purchased office supplies worth $5,000 credit from national bookstore. Identify the account treatment for the transaction.

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Answer:

8x + 3x=11x

Explain:

Every time you see the word sum, you add

When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.

Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.

As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.

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Answer:

5555

Step-by-step explanation:

because it was the highest in there

I think this is the answer but i can't confirm because your theory and my theory can be different

Answer:

$5.00 ; no

Step-by-step explanation:

Given that:

135 / 360 = 0.375

90 / 360 = 0.25

135/ 360 = 0.375

X ___ 5 _____10 _____ 0

P(x): _0.25___0.375___0.375

Expected value :

ΣX*p(X) :

5(0.25) + 10(0.375) + 0(0.375)

1.25 + 3.75 + 0

= $5

b) If you have to pay $10 to play, is it a fair game?

For the game to be fair :

Amount paid = Expected winning

$10 ≠ $5

Since, amount paid is greater than expected winning, then the game is not fair

Answer:

-9

Step-by-step explanation:

for linear equations, the show off the line is the coefficient of x.

in this case, the slope would be -9

Answer:

x = \(\sqrt{120}\) ≈ 10.95

Step-by-step explanation:

Use Pythagorean Theorem a²+b²=c²

6²-4²=a²

36-16=a²

a²=20

a=\(\sqrt{20}\)

\(\sqrt{20\)²+10²=c²

20+100=c²

c²=120

c= \(\sqrt{120}\) ≈ 10.95

Answer:25%

Step-by-step explanation:

do 17/68

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

Answer:

For F(x)=10x the chart should go,

(-2, 1/100)

(-1, 1/10)

(0, 1)

(1, 10)

(2, 100)

For F(x)=6x the chart should go,

(-2, 1/36)

(-1, 1/6)

(0, 1)

(1, 6)

(2, 36)

If this helped please give brainliest :)

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.

In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

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The number (up to isomorphism) of abelian groups of order n is different from the number (up to isomorphism) of abelian groups of order m, unless n and m are isomorphic.

To understand why, consider the fact that the number of abelian groups of a given order is determined by the prime factorization of that order. Specifically, the number of abelian groups of order p^n is equal to the number of partitions of n, where p is a prime number. Thus, the number of abelian groups of a given order is determined by the prime factorization of that order.

If two orders have different prime factorizations, then the numbers of abelian groups of those orders will be different. For example, the number of abelian groups of order 12 is different from the number of abelian groups of order 15, since 12 and 15 have different prime factorizations. On the other hand, if two orders have the same prime factorization, then the numbers of abelian groups of those orders will be the same (up to isomorphism), since the number of abelian groups of an order is determined solely by the prime factorization of that order.

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A sequence can be arithmetic or geometric sequence

The function that defines the sequence is f(n) = 10 -3n

The sequence is given as:

7,4,1,-2,-5...

The above sequence is an arithmetic sequence, with an initial value of 7, and a common difference of -3.

So, the function is:

\(a_n = a +(n -1)d\)

This gives

\(a_n = 7 +(n -1)(-3)\)

\(a_n = 7 +3 -3n\)

\(a_n = 10 -3n\)

Hence, the function that defines the sequence is f(n) = 10 -3n

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The function g does not have an inverse since it is  one-to-one. Therefore, g^(-1)(0) is defined   value of g^(-1)(0) is -7.

To find g^(-1)(0), we need to determine the input value (x) for which g(x) equals 0. In other words, we are looking for the x-value that corresponds to a y-value of 0 in the original function g.
Given the function g with the points (-1, -5), (0, -7), (3, 0), and (9, 1), we can observe that the y-value of 0 is associated with the x-value of 3. Therefore, g(3) = 0.
Now, to find g^(-1)(0), we need to determine the inverse of g and input 0 into that inverse function. Since the inverse of g swaps the roles of x and y, the inverse of g will have the points (-5, -1), (-7, 0), (0, 3), and (1, 9).
By examining the inverse function, we find that g^(-1)(0) corresponds to the y-value of -7 when x equals 0. Hence, g^(-1)(0) = -7.

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To find the slant asymptote of the function y = x^2 + 4x + 4, we need to perform polynomial long division. In this case, we will divide the function by y = x.


1. Divide the function y = x^2 + 4x + 4 by y = x using polynomial long division.
2. x goes into x^2 x times. Write x on top.
3. Multiply x by x, which is x^2. Write x^2 under x^2 in the dividend and subtract it.
4. Bring down 4x from the dividend.
5. x goes into 4x, 4 times. Write 4 next to x on top.
6. Multiply 4 by x, which is 4x. Write 4x under 4x in the dividend and subtract it.
7. Bring down the constant term 4 from the dividend.
8. Since the degree of the remaining dividend (constant term) is lower than the divisor's degree (x), we stop dividing.


After performing polynomial long division, we get the quotient y = x + 4, which is the equation of the slant asymptote for the given function.

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The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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