How many years will it takes an investment of 3000$ to amount to 5,000 if money is invested at 4.1% compounded monthly

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

f(5) = f(x + 3) - f(x)

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

Answer:

I dont understand

Step-by-step explanation:

Answer:

[tex]d=0.364\ g/cm^3[/tex]

Step-by-step explanation:

It is given that,

Mass of benzene, m = 0.1 L

Mass, m = 36.4 g

We know that, 1 L = 1000 cm³

0.1 L = 100 cm³

The density of an object is equal to its mass divided by its volume. So,

[tex]\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3[/tex]

So, the density of benzene is [tex]0.364\ g/cm^3[/tex].

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

its c because ppl eheueebeuebeue eueeb

35/40 ×100 is a numerical expression to describe the percentage of the questions that Alberto got correct on his geography test.

Given that, Alberto got thirty-five out of forty questions correct on his geography test.

We need to determine the

percentage of the questions he got correct, and multiply the quotient of thirty-five and forty by one hundred.

The following formula is a common strategy to calculate a percentage:

Now, 35/40 ×100=87.5%

Therefore, 35/40 ×100 is a numerical expression to describe the percentage of the questions that Alberto got correct on his geography test.

To learn more about a percentage visit:

https://brainly.com/question/13450942.

#SPJ2

Answer:

336/13 books in 48 months

Step-by-step explanation:

14 books : 26 months

first, find how many books he reads in one month (by dividing the given rate by the number of months)

14 books : 26 months

/26             /26

7/13 books : 1 month

now multiply by the number of months that this problem requires

7/13 books : 1 month

*48               *48

336/13 books : 48 months

For a better understanding of the answer provided here, please have a look at the attached diagram.

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:

[1] is the angle  

[2] is Supplementary

[3] is the segment bc

Thus, the above are the words or names that correctly fill in the blanks to complete the proof.

Answer:

See below.

Step-by-step explanation:

  Statements:                        Reasons:

1) ABCD is a parallelogram     : Given

2) ∠1≅∠2                                   : Alternate Interior Angles Are Congruent

3) ∠2+∠3=180                           : Angle Addition Postulate

4) ∠1+∠3=180                            : Substitution

5) ∠1 is supplementary to ∠3   : Definition of Supplementary Angles

And we're done!

Answer:

2n^3

Step-by-step explanation:

n^3 represents the cube of the number n; therefore,

"twice the cube of a number" is 2(n^3) or 2n^3

Answer:

Step-by-step explanation:

step one:

let the number of Blu-rays  be b and

DVDS be d,

step two:

given that Blu-rays cost $25.99each and

DVDS cost $15.99 each,

we can model the cost of the Blu-rays and DVDS, as

100=25.99b+15.99d

hence the expression for the number of Blu-rays and DVDS, is given as

100=25.99b+15.99d

Answer: 6 one inch fish

Step-by-step explanation: he needs to have 5 gallons of water for every one-inch fish. 6 x 5 is 30

Answer:

56ײ-221x+108

Step-by-step explanation:

Answer:

14 and 49 10 are anchor points trend line to this question

Answer:

20

Step-by-step explanation:

Plug in 3 everywhere there is a y and solve.

(3)^2+2(3)+5

9+6+5

20

Answer:

$72.91

Step-by-step explanation:

1.) 0.0075 x 67.82= 5.0865

2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place

Answer:

3 and 1/3 because 7 minus 3 and 1/3 equals 3 2/3 or you could also do 3+3=6 and 2/3+1/3=1 and 1+6=7

The distance between -7 and -3 2/3 on the number line is 3 1/3

The numbers are given as:

-7 and -3 2/3

Calculate the absolute difference between both numbers

d = |-7 + 3 2/3|

Evaluate the difference

d = | 3 1/3|

Evaluate the absolute value expression

d = 3 1/3

Hence, the distance between -7 and -3 2/3 on the number line is 3 1/3

Read more about number lines at:

https://brainly.com/question/4727909

Answer:

ECB

ACB

CDE (if it doesn't matter what order the letters are in)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.

 [tex]a_1=S_1=3\cdot1^2+4\cdot1=3+4=7[/tex]

b.

   [tex]a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}[/tex]

c.

 [tex]a_{20}=7\cdot20+1=141[/tex]

Answer:

The Slope Is -3

Step-by-step explanation:

Hope This Helps

Plz Mark Brainliest!

Answer: 7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the slope is defined as

XXX

m

=

Δ

y

Δ

x

=

y

2

−

y

1

x

2

−

x

1

Answer:

8a²+8a+12b = 8a²+8a+12b

Step-by-step explanation:

first, expand the brackets

4a + 4a + 12a² + 8b + 4b - 4a²

then, collect like terms

8a + 8a² + 12b

then, rearrange

8a² + 8a + 12b

Answer:

55 performances

Step-by-step explanation:

The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.

y = 88,000 + 5,900x

The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances

y = 7,500x

Now set the equations equal to each other and solve for x

7,500x = 88,000 + 5,900x

1,600x = 88,000

x = 55

They need to have 55 performances for the cost and the revenue to break even.

Answer:

832.5.

Step-by-step explanation:

sorry, but this cannot type fractions, so just take the answer.

Answer:

832.5

Step-by-step explanation:

To find the area of a trapezoid, you need to use the formula (a+b)/2 x h

a = 18 = base

b = 27 = base

h = 37 = height

18 + 27 = 45

45/2= 22.5

37 x 22.5 = 832.5

Step-by-step explanation:

Hey there!

By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.

So,

2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)

8x + 28°=180°

8x = 180° - 28°

8x = 152°

[tex]x = \frac{152}{8} [/tex]

X = 19°

Therefore, X = 19°.

Hope it helps...

Answer:

x=19

Step-by-step explanation:

These are same-side interior angles. The Same-Side Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. This means that the sum of the two angles is equal to 180°.

2x+6x+28=180°

8x=180-28

8x=152

x=19