Jose invests $4000 in an investment account paying 8% annually for 12 years. Suppose the interest was compounded quarterly instead of annually.

How much would the future value of the investment increase?

Enter your answer as a dollar amount, such as: $302.26

Answer:

The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.

Step-by-step explanation:

im not sure if this helps but....

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.

If all of three angles of a triangle are < 90° then triangle is acute.

If one of the angle is of 90°  then the triangle is right angled triangle.

If one of the angle is  > 90°  then triangle is called obtuse triangle.

How to identify if a triangle is acute, right angled or obtuse?

Let we have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If A^2+B^2 > H^2  , then triangle is obtuse

Given:

Length of the sides of the triangle; 2 , 5 and 4inches

If a , b and c is sides of the triangle such that c is the longest side then;

1). if c² > a² + b² implies that triangle is Acute angled.

2). if c² = a² + b²  implies that triangle is Right angled.

3). if c² < a² + b²  implies that triangle is Obtuse angled.

We have, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

therefore; c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

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Answer:

  74.3 feet

Step-by-step explanation:

Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...

  (12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft

Answer:

3.508 kilograms

Step-by-step explanation:

This question can be solved using a rule of three.

We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?

1kg - 1000g

xkg - 3508g

[tex]1000x = 3508[/tex]

[tex]x = \frac{3508}{1000}[/tex]

[tex]x = 3.508[/tex]

So the correct answer is:

3.508 kilograms

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

Answer:

  35

Step-by-step explanation:

Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.

The LCM will be abx = 14x, so we have ab = 14.

Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...

  a=2, b=7

For a=2 and ax=10, we have x=5.

The dad's age is bx = 7·5 = 35.

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

Answer:

24.8 mins

Step-by-step explanation:

Time > timemark > frequency

0 – 10 > 10/2 = 5 > 5

10 – 20 > (10+20)/2 = 15 > 15

20 – 30 > (20+30)/2 = 25 > 13

30 – 40 > (30+40)/2 = 35 > 10

40 – 50 > (40+50)/2 = 45 > 7

The mean time for the 50 people is given by:

Mean = summation (mid time x frequency) / total frequency

Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50

Mean = [25 + 225 + 325 + 350 + 315] / 50

Mean = 1240 / 50

Mean = 24.8 mins

The mean traveling time of the given data will be 24.8 minutes.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

   Time >     timemark     >    frequency

 0 – 10 >      10/2 = 5       >          5

10 – 20 > (10+20)/2 = 15  >         15

20 – 30 > (20+30)/2 = 25 >       13

30 – 40 > (30+40)/2 = 35 >        10

40 – 50 > (40+50)/2 = 45 >         7

The mean time for the 50 people is given by:

Mean = summation (mid time x frequency) / total frequency

Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50

Mean = [25 + 225 + 325 + 350 + 315] / 50

Mean = 1240 / 50

Mean = 24.8 mins

The mean traveling time of the given data will be 24.8 minutes.

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Answer:

y=2x

Step-by-step explanation:

Every one x is two y.

Answer:

13.4 centimeters

Step-by-step explanation:

In this case to calculate the distance we must take into account the data that they give us in the exercise.

The final length would be equal to the initial length added to the product of standard deviations from the mean and standard deviation given by the engineer, like this:

L = 13 + 4 * 0.10

L = 13 + 0.4

L 13.4

That means that lengths will a bolt be destroyed when the value is 13.4 centimeters

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

Answer: 2. 121 could be the dividend and 11 will be the quotient. 3) 35 could be the dividend and -5 could be the divisor.  

4) 256 could be the dividend and -16 would be the quotient. 5) 12 could be the divisor and 144 could be the dividend. 6) 17 could be the divisor and and 9 could be the quotient.

Step-by-step explanation:

2. 121/11= 11

3. 35/-5= -7

4.256/-16 =-16

5.144/12= 12

6.153/17=9

Answer:

1000 grams

Step-by-step explanation:

Answer:

216

Step-by-step explanation: If they are 1 by 1 tiles that means that all you need to do is multiply 18 by 12 to get 216. Hope this helps :)

Answer:

216 Tiles

Step-by-step explanation:

18 by 12

8*12=216

Use a Tile Calculator plus this is easy

Wastage: 5%

Tiles with Wastage = 227 Tiles

Answer:

[tex]tan(D) = \frac{21}{20}[/tex]

Step-by-step explanation:

Step(i):-

Given in triangle DOC

Cos(D) = 20/29

now

[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]

We Know that trigonometry formulas

[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]

[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]

           = [tex](\frac{29}{20} )^{2} -1[/tex]

          = [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]

[tex]tan^2(D) = \frac{441}{400}[/tex]

[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]

[tex]tan(D) = \frac{21}{20}[/tex]

Answer:

There are many ways to solve this problem, here let's follow the hints

Probability of having exact 6 boys in 8 children:

8C6 x P(boys)^6 x P(girls)^2 = 8C6 x (1/2)^6 x (1/2)^2 =8C6 x (1/2)^8

Probability of having exact 7 boys in 8 children:

8C7 x P(boys)^7 x P(girls)^1 = 8C7 x (1/2)^7 x (1/2)^1 =8C6 x (1/2)^8

Probability of having exact 8 boys in 8 children:

8C8 x P(boys)^8  = 8C8 x (1/2)^8

Add these three, we have the solution

P = (8C6 + 8C7 + 8C8) x (1/2)^8 = (28 + 8 + 1) x (1/2)^8 = 0.1445

=> Option D is correct.

Note: 8C6, 8C7, 8C8 are combination notation.

Hope this helps!

:)

Answer:

the answer is d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hmm... I would think it is B...

b^2-4ac is discrimant. It is 0?

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold

Answer:

Check the explanation

Step-by-step explanation:

a) from the scatter plot in the attached image below, it appears that relationship is approximately linear

b) least square line: that =0.3940+0.0355x

c) for 10 C difference expected difference in corrosion rate =0.0355*10=0.355

d) for x=20 ; predicted temperature =0.3940+0.0355*20=1.1041

e) fitted values are:

X                      ŷ

26.600        1.3385

26.000        1.3172

27.400        1.3669

21.700         1.1645

14.900        0.9230

11.300          0.7952

15.000        0.9266

8.700          0.7029

8.200          0.6851

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

Answer:

c ≥ 10 dozen

Step-by-step explanation:

Victor wants to have at least 10 dozen cookies for the bake sale.

In layman terms it can be understood as that Victor wants either  10 dozen cookies or more than that such as 11, 12, 13, 50 , 100 whatever number is greater than 10.

Let the no. of dozen of cookies wanted by him is c

according to condition

if victor wants  either 10 dozen cookies

it can be represented mathematically as

c = 10 dozen  (1)

_____________________________________

If victor wants no. of dozens of cookies greater than 10 .

it can be written as

c >10  dozen (2) (">" is symbol for greater than . expression simply means value of x should be greater than 10)

______________________________________________

now combining  equation one and two, we have

c ≥ 10 dozen . It can means that x can take value starting from 10 to any no greater than..

1 7/10 is equivalent to the improper fraction 17/10

Answer:

Sam workrate 1/5

Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7

combined workrate: 1/5 + 2/7 = 17/35

they will mow the lawn in  35/17 = 2 and 1/17 hours

2 hours 3 1/2 mins

Step-by-step explanation:

Let x represent number of bicycles and y represent number of tricycles.

We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.

We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:

[tex]2x+2y=50...(1)[/tex]

[tex]2x=50-2y...(1)[/tex]

We know that a bicycle has 2 wheels and a tricycle has 3 wheels.

We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:

[tex]2x+3y=64...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]50-2y+3y=64[/tex]

[tex]50+y=64[/tex]

[tex]50-50+y=64-50[/tex]

[tex]y=14[/tex]

Therefore, 14 tricycles were offered in the sale.

Step-by-step explanation:

In statistics, linear regression is a linear approach to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. ... Linear regression has many practical uses.

Answer:

  P = 100x + 75y

Step-by-step explanation:

The objective is profit, so the objective function is the function that defines profit:

 P = 100x + 75y

where x is the number of large clocks made and y is the number of small clocks made per day.

__

Comment on other choices

Inequalities are generally associated with constraints on the manufacturing. Here, those would be ...

The variables are constrained to be non-negative, because we cannot build a negative number of clocks.

__

To maximize profit in this situation, the maximum possible number of large clocks should be produced, since they are the most profitable. Then the remaining capacity should be used to produce as many small clocks as possible: 5 large clocks and 3 small clocks for a profit of $725 per day.

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35

c

All the information you need is in the quadratic trinomial ... Read from right to left:

Find factors of 49 which ADD (+) to give 14.

These will be  7 and 7  because: 7 × 7 = 49 and 7 + 7 = 14

The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:

( x − 7 ) ( x − 7 ) = ( x − 7 ) 2

Answer:Each person should get 7.5 milliliters  or seven and a half perfume.

Step-by-step explanation:

15/2=7.5

Each person should get 7.5 milliliters or seven and a half perfume.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in maths and science.

Thus, unit price of something is price of 1 thing.

Suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

WE know that 2 people are evenly sharing 15 milliliters of perfume.

So, one person will share;

15/2

=7.5

Therefore, Each person should get 7.5 milliliters or seven and a half perfume.

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Answer:

GH 1533

Step-by-step explanation:

Let Dauda's share of the money=x

Patricia had twice as much  as Dauda, therefore:

Patricia's share=2x

Luca had GH 600.00 more than Dauda, therefore:

Luca's Share =x+600

If Patricia had GH 2,000.00

Then: 2x=2000

x=1000

Therefore:

Next, we determine the average share.

[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]