Stock in Ombor Medical Supplies earns a return of 5.3% annually, while bonds issued by Ombor Medical Supplies earns a return of 4.1% annually. If you invest a total of $2,400 in Ombor Medical Supplies, $1,400 of which is in bonds and $1,000 of which is in stocks, which side of the investment will show a greater return after six years, and how much greater will it be?
a. The stocks will earn $55.60 more than the bonds.
b. The stocks will earn $118.60 more than the bonds.
c. The bonds will earn $82.00 more than the stocks.
d. The bonds will earn $26.40 more than the stocks.

Answer:

150 feet

Step-by-step explanation:

in order to find the solution we have to take the L.C.M of 25 and 30

L.C.M of 25 and 30 is 150

so after 150 feet , they will both fall down

Answer: They will both fall down after 150 feet.

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple (LCM)

of 30 and 25:

To obtain the multiple of a number we have to multiply that number by another number (not zero) in the multiplication table order (by 1,by 2,by 3,etc)

30,60,90,120,150

25,50,75,100,125,150

The LCM is a number that appears on both lists, and is the smallest.

They will both fall down after 150 feet.

Feel free to ask for more if needed or if you did not understand something.

Answer:

1.  P ( tails) = 1/2

2.P (number greater than 4)   = 1/3

3.  P (2 die sum to 8) = 5/36

Step-by-step explanation:

A coin only has 2 possibilities, head or tails, and they are equally likely

So the probability of getting a tails is 1/2

P ( tails) = 1/2

A die has the numbers 1,2,3,4,5,6 .  There are 2 numbers greater than 4.  They are 5 and 6.  So there are 2 of the 6 choices that work.

P (number greater than 4)  = 2/6  = 1/3

See the dice chart

There are 36 possibilities when you roll the die.

There are 5 that sum to 8

P (2 die sum to 8) = 5/36

Answer:

Guy above is correct

Step-by-step explanation:

Answer:

n = 9 is the value in the replacement set is a solution to the equation [tex]3(n+7)=48[/tex]

Step-by-step explanation:

Given an equation: [tex]3(n+7)=48[/tex]                      .....[1]

Replacement set: {8, 9, 10}

For n = 8

Substitute in equation [1], we get;

[tex]3(8+7)=48[/tex]  

[tex]3(15)=48[/tex]

[tex]45=48[/tex]           False.

Similarly, For n = 9

Substitute in equation [1], we get;

[tex]3(9+7)=48[/tex]  

[tex]3(16)=48[/tex]

[tex]48=48[/tex]           True.

for n = 10

Substitute in equation [1], we get;

[tex]3(10+7)=48[/tex]  

[tex]3(17)=48[/tex]

[tex]51=48[/tex]           False.

Therefore, the value in the replacement set is a solution to this equation [tex]3(n+7)=48[/tex] is, 9

Answer:

9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.

This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.

Answer D points to the right.

Answer:

The answer is D

Step-by-step explanation:

MrsStrong was correct!!!! Thank you

Answer:

Total = 686000 meters for 10 weeks 7 days a week.

Step-by-step explanation:

Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7

a = 8000

n = 10

d = 400

Sum = (a + L)*n/2

Sum = (8000 + 11600)*10/2

Sum = 19600 * 10/2

Sum = 98000 meters.

This total represents 1 training day a week.

The total amount is 7 times this figure.

Total = 7 * 98000 = 686 000 meters.

Answer: 5, 3, [tex]\dfrac{1}{6}[/tex], D

Step-by-step explanation:

-5 < 0 so f(-5) = | -5 | = 5

-3 < 0 so f(-3) = | -3 | = 3

6 > 0 so f(6) = [tex]\dfrac{1}{6}[/tex]

graph D (since x can equal zero)

Answer:

45/63

Step-by-step explanation:

6 3/10=63/10,    4  1/2=45/10,

(45/10)/(63/10)=45/63

QUESTION 34

We want to find the variance of [tex]82,44,67,52,120[/tex].

The variance can be calculated using the formula,

[tex]\sigma^2=\frac{\sum(x-\bar X)^2}{n}[/tex]

where

[tex]\bar X =\frac{82+44+67+52+120}{5}[/tex]

[tex]\bar X =\frac{365}{5}[/tex]

[tex]\Rightarrow \bar X =73[/tex]

This means that,

[tex]\sigma^2=\frac{(82-73)^2+(44-73)^2+(67-73)^2+(52-73)^2+(52-73)^2+(120-73)^2}{5}[/tex]

This gives us,

[tex]\sigma^2=\frac{(9)^2+(-29)^2+(-6)^2+(-21)^2+(47)^2}{5}[/tex]

[tex]\sigma^2=\frac{81+841+36+441+2209}{5}[/tex]

[tex]\sigma^2=\frac{3608}{5}[/tex]

[tex]\sigma^2=721.6[/tex]

QUESTION 35

We want to find the variance of [tex]10,12,15,18,11,13,14,16,19,20[/tex].

The variance can be calculated using the formula,

[tex]\sigma^2=\frac{\sum(x-\bar X)^2}{n}[/tex]

where

[tex]\bar X =\frac{10+12+15+18+11+13+14+16+19+20}{10}[/tex]

[tex]\bar X =\frac{148}{10}[/tex]

[tex]\fRightarrow \bar X =14.8[/tex]

This means that,

[tex]\sigma^2 =\frac{(10-14.8)^2+(12-14.8)^2+(15-14.8)^2+(18-14.8)^2+(11-14.8)^2+(13-14.8)^2+(14-14.8)^2+(16-14.8)^2+(19-14.8)^2+(20-14.8)^2}{10}[/tex]

This gives us,

[tex]\sigma^2=\frac{(-4.8)^2+(-2.8)^2+(0.2)^2+(3.2)^2+(-3.8)^2+(-1.8)^2+(-0.8)^2+(1.2)^2+(4.2)^2+(5.2)^2}{10}[/tex]

[tex]\sigma^2=\frac{23.04+7.84+0.04+10.24+14.44+3.24+0.64+1.44+17.64+27.04}{10}[/tex]

[tex]\sigma^2=\frac{105.6}{10}[/tex]

[tex]\sigma^2=10.56[/tex]

QUESTION 36

We want to find the variance of [tex]100,140,130,180,80,160[/tex].

The variance can be calculated using the formula,

[tex]\sigma^2=\frac{\sum(x-\bar X)^2}{n}[/tex]

where

[tex]\bar X =\frac{100+140+130+180+80+160}{6}[/tex]

[tex]\bar X =\frac{790}{6}[/tex]

[tex]\Rightarrow \bar X =131.67[/tex]

This means that,

[tex]\sigma^2=\frac{(100-131.6667)^2+(140-131.6667)^2+(130-131.6667)^2+(180-131.6667)^2+(80-131.6667)^2+(160-131.6667)^2}{6}[/tex]

This gives us,

[tex]\sigma^2=\frac{(-31.6667)^2+(8.3333)^2+(-0.6667)^2+(48.3333)^2+(-51.6667)^2+(28.3333)^2}{6}[/tex]

[tex]\sigma^2=\frac{10325}{9}[/tex]

[tex]\sigma^2=1147.22[/tex]

To find the variance of a set of data, find the mean, subtract the mean from each data point, square the differences, and find the average of the squared differences. The standard deviation is the square root of the variance.

To find the variance of a set of data, follow these steps:

For the data set 82, 44, 67, 52, 120 (Question 34), the mean is 73, the squared differences are 81, 841, 36, 441, and 1849, and the average of the squared differences is 631.20, rounding to two decimal places.

For the data set 10, 12, 15, 18, 11, 13, 14, 16, 19, 20 (Question 35), the mean is 14.8, the squared differences are 23.04, 4.84, 0.64, 8.84, 12.96, 3.24, 1.44, 2.56, 19.36, and 29.16, and the average of the squared differences is 10.10, rounding to two decimal places.

To find the standard deviation of a set of data, take the square root of the variance. For the data set 100, 140, 130, 180, 80, 160 (Question 36), the variance is 9300, and the standard deviation is 96.49, rounding to two decimal places.

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Answer:

-1< x< 3  x is an integer

Step-by-step explanation:

There are the dots on the number line.  Three points are represented

x= 0,1,2

We want an inequality

-1< x< 3  x is an integer

Answer:

a. -2, even mult. and 1, odd mult.

b.[tex](x+2)^2(x-1)[/tex]

c. Odd degree of 3 or higher, likely higher due to the turns in the graph.

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

In this graph, there are two real zeros: -2,1

We can write them in intercept or factored form as (x-1) and (x+2).  

Because the graph never crosses the x-axis at x=-2 the zero has an even multiplicity of at least 2.  The opposite is true for x=1 because it crosses. Therefore it has an odd multiplicity of at least 1.

The graph is a sideways s shape and ends up so is positive.  

This means the function has a degree of 3 or higher with the degree being odd.

Answer:

64.5A

Step-by-step explanation:

Answer:

m∡1 + m∡2 = 180

Step-by-step explanation:

m∡1 + m∡2 = 180

This is because supplementary means they add up to 180°.

Answer:

The answer is A. 1 1/2

Step-by-step explanation:

You have 3 5/12  - 2 1/3

1/3 of 12 is 4.

So change 2 1/3 to 2 4/12

3 5/12 - 2 4/12 = 1 1/2

I hope this helps!

Cheers, July.

Answer:

Number of metric tons of corn produced by country A = 373 million MT

Number of metric tons of corn produced by country B = 234 million MT

Number of metric tons of corn produced by country C = 57 million MT

Step-by-step explanation:

From the given information we have

A+B+C = 664 ____equation(1)

A = B+C+82 ____equation(2)

B = C + 177 ____equation(3)

1) Plugging in B=C+177 into equation 2, we get

A = B+C+82

=> A = (C+177) + C +82

=> A = C+177+C+82

=> A = C +C +177+82

=> A= 2C +  259 ____let it be equation (4)

2) Plugging in A=2C+259 from equation 4 and B=C+177 from equation 3 into the equation 1, we get

A+B+C = 664

=> (2C+259)+(C+177)+C = 664

=> 2C+C+C+259+177 = 664

=> 4C + 436 = 664

3) Subtracting 436 from both the sides, we have

4C + 436 - 436 = 664 - 436

4) Cancelling out +436 and -436 from the left side, we get

4C = 228

5) Dividing both the sides by 4, we get

[tex]\frac{4C}{4} = \frac{228}{4}[/tex]

6) Cancelling out the 4's from the left, we get

C = 57

7) Plugging in C=57 into the equation 3, we get

B = C + 177

=> B = 57+177

=> B = 234

8) Plugging in B=234 and C=57 into the equation 1, we get

A+B+C = 664

=> A+234+57=664

=> A + 291= 664

9) Subtracting 291 from both the sides, we get

A + 291 - 291 = 664 - 291

10) Cancelling out +291 and -291 from the left side, we get

A = 373

So, A = 373, B= 234, C=57

Let S = spoon

Let K = knife

1 knife is thee times the cost of a spoon, so it would be 3S

Now you have 9S + 12K = 82.80

We can replace the K with 3S:

9S +12(3S) = 82.80

Simplify the left side:

9S + 36S = 82.80

Add:

45S = 82.80

Divide both sides by 45"

S = 82.80 / 45

S = 1.84

One spoon cost $1.84

We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:

Knife = 1.84 x 3 = $5.52

Answer:

1.84 x 3 = $5.52

Answer:

10.82 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

If ΔABC and ΔDEF are similar, then

AB is proportional to DE

BC is proportional to EF

CA is proportional to FD

and

angles A and D are congruent

angles B and E are congruent

angles C and F are congruent

Answer:

B.)Segment BC is proportional to segment EF, and angles A and D are congruent.

Step-by-step explanation:

Answer: 173

Step-by-step explanation: 173 x 3 = 519. 520-173 = 347

Answer:

32 houses will have a pool

Step-by-step explanation:

40% of 80 is 32

The x-value that makes the line through the points (x, -9) and (0, 1) have a slope of -4 is x = 5/2 or 2.5.

To find the x-value that makes the line through the points (x, -9) and (0, 1) have a slope of -4, we can use the slope formula:

slope = (change in y) / (change in x)

Given that the slope is -4 and the two points are (x, -9) and (0, 1), we can plug the values into the slope formula:

-4 = (-9 - 1) / (x - 0)

Now, simplify the equation:

-4 = -10 / x

Now, cross-multiply:

-4x = -10

Now, solve for x by dividing both sides by -4:

x = -10 / -4

x = 5/2

So, the x-value that makes the line through the points (x, -9) and (0, 1) have a slope of -4 is x = 5/2 or 2.5.

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Answer:

∠6 > ∠3 is TRUE.

Step-by-step explanation:

We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.

∠10 > ∠7

FALSE;

Because∠10 is acute while ∠7 is obtuse.

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

∠6 > ∠3

TRUE;

Because∠3 is acute while ∠6 is obtuse.

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

∠9 > ∠11

FALSE;

Because∠9 is acute while ∠11 is obtuse.

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

∠8 > ∠11

FALSE;

Because∠8 is acute while ∠11 is obtuse.

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

[tex]f(x)=x^3+3x^2-10x-24\\\\y-intercept\ for\ x=0:\\\\f(0)=0^3+3(0)^2-10(0)-24=-24[/tex]

Answer:

The attached image shows he graph for given function.

Step-by-step explanation:

We are given the following expression in the question:

[tex]f(x) = x^3 + 3x^2-10x-24[/tex]

The zeroes of the given function can be calculated as:

[tex]x^3 + 3x^2-10x-24 = 0\\x = -4, x = -2, x=3[/tex]

Thus,the graph for the given function passes through the x-axis on the points (-4,0), (-2,0) and (3,0).

The function crosses the y-axis at the point (0,24)

The attached image shows the graph for given function.

Thus, the second option is the correct graph for given function.

[tex]\begin{cases}4x+2\ge14\\-21x+1<22\end{cases}[/tex]

In the first inequality, we have

[tex]4x+2\ge14\implies4x\ge12\implies x\ge3[/tex]

In the second, we have

[tex]-21x+1<22\implies-21x<21\implies x>-1[/tex]

The solution to the system is the intersection of these two intervals, which would be [tex]x\ge3[/tex].

Answer:

Adriano's this month earning is $1150

Step-by-step explanation:

Adriano's existing customers =200

Every customer Pays subscription fee = $5 per month

This month number of customers joined =40

And number of number of customers cancelled subscription =10

So this month addition of new customers = 40-10 =30

Therefore total numbers of subscribers =200+30 =230

And money earned this month = 230× $5

                                                   = $1150

Answer:

HELLO :

f(4) = -1/2(4)+5 = -2+5=3