How much would you have to
deposit today to have an
accumulated amount of
$20,000 in 20 years if yearly
interest is 4.75% compounded
continuously?

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

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Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

[tex]p = \frac{19}{25}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

[tex]p = \frac{38}{50} = \frac{19}{25}[/tex]

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Answer:

Yes its a quadrilateral

Step-by-step explanation:

It has 4 sides

Answer:

yes

Step-by-step explanation:

It is an irregular quadrilateral

Hope this helps

Answer:

C.

Step-by-step explanation:

Find 5% of 19:

19 x 0.05 = 0.95

0.95 + 19 = 19.95

answer is C. 19.95

Answer:

Option 4

Step-by-step explanation:

In Quadrant IV,

If cosθ = -√3/2, then :

option d. 37/2 ÷ 17/4 is correct.

Step-by-step explanation:

[tex]18\ \frac{1}{2} \div 4\ \frac{1}{4} [/tex]

[tex] = > \frac{37}{2} \div \frac{17}{2} [/tex]

Answer:

Your question does not make sence

Answer:

slope = 2 / 3

Step-by-step explanation:

slope = rise / run

rise = 2

run = 3

slope = 2 / 3

Answer:

B is a coefficient

Step-by-step explanation:

Coefficient of 2O2 is 2.

B = 2

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

Answer:

See below

Step-by-step explanation:

[tex]\sqrt{3}[/tex] x   IS equivalent to   x [tex]\sqrt{3}[/tex]

[tex]\sqrt{3x}[/tex]    is NOT equivalent to  x [tex]\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

Given a right angle triangle ABC.

If ∠BCA = 90°

the hypotenuse AB = 26

AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

Answer:

         [tex]\ tan \ A = \dfrac{24}{10}[/tex]

Step-by-step explanation:

[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]

Answer:

Question?

Step-by-step explanation:

where is the Question?

Answer:

Ratio 3 : 1

First person 5 biscuits 

Second person 15 biscuits 

Step-by-step explanation:

“one person gets three times as many as the other”  means  “the ratio is 3 to 1 or just 3 : 1”

………………………

Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.

It’s clear that we have to solve this equation:

x + 3x = 20

Solving:

x + 3x = 20

⇔ 4x = 20

⇔ x = 20/4 = 5

Final answer:

First person: 5 biscuits

Second person: 3×5 = 15 biscuits

The two linear equations in this problem are:

a) First, we know the relation:

distance = speed*time.

In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:

d(t) = (3.1 mi/h)*t

This is the linear equation that gives the distance as a function of time.

b) Now we want to get the time as a function of the distance, so we just need to isolate t,

t(d) = d/(3.1 mi/h).

This linear equation gives the time as a function of the distance d.

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Answer:

slope = 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 5/0- 2 = 9/2

Answer:

there are 3 ferrets,15 dogs,27 cats

Step-by-step explanation:

the ratio of the three

9:5:1

the ferrets,1/15 * 45= 3

the dogs,5/15 * 45= 15

the cats, 9/15 * 45=27

Answer:

ROI = 10.00%

Step-by-step explanation:

Investment Gain = $300.00

ROI = 10.00%

Annualized ROI = 21.00%

Investment Length = 0.50 years

Answer:

594

Step-by-step explanation:

A=πrl+πr²

(22/7×9×12)+(22/7×9²)

=594

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

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Step-by-step explanation:

f(x)=3x²-4x+8

f(1)=(3*1)²-4(1)+8

f(1)=3²-4+8

f(1)=9-4+8 or using BODMAS

f(1)=5+8 or f(1)=9-12

f(1)=13 or f(1)=-3

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

-2^7 = -128

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = [tex](-2)^{n-1}[/tex]

-128 = [tex](-2)^{n-1}[/tex]

[tex](-2)^{7}[/tex] = -128

So, n-1 = 7

n = 8

The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

A function assigns the value of each element of one set to the other specific element of another set.

Function N represents the number of components that a new employee can assemble per day.

N(t)=(50t)/(t+4)

Function E represents the number of components that an experienced employee can assemble per day.

E(t)=(70t)/(t+3)

In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,

[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]

Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

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Answer:

D(t)= 10t(2t+13)/ (t+4)(t+3)

Step-by-step explanation:

Answer:

-6/5 = x

Step-by-step explanation:

Multiply by 5 to get rid of fractions:
-40 = 35x + 2

Subtract by 2 to get all terms on one side:

-42 = 35x
Divide by 35 to get x term:

-42/35 = x

-6/5 = x

Answer:

No, because the sides lengths are not proportional.

Step-by-step explanation:

By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

Answer:

So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.

The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2.  If side AB is the only one that can move then we would just extend that side twice the original length.