you want to deposit $4000 in a bank where you earn and interest rate of 6 percent per year. what will it’s future value be after five years?

Answer & Step-by-step explanation:

For this problem, all we have to do is add f(x) to g(x). So, we will add (x -2) to (x² + x - 6).

(x - 2) + (x² + x - 6)

Combine like terms.

x² + (x + x) + (-2 + (-6))

x² + 2x - 8

So, (f + g)(x) is equal to x² + 2x - 8

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

Answer:

596

Step-by-step explanation:

I typed in 656 as the other person it was but it wasn't

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic series is given as:

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

The 64th term of the arithmetic sequence is 596.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

common difference = 2

The first term = 2.

We have,

29, 38, 47,.....

First term = 29

a(1) = 29

Common difference:

= 38 - 29

= 9

Now,

The nth term of an arithmetic series is given as:

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

The value of the 64th term in the arithmetic sequence.

a(64) = a(1) + (64 - ) x 9

a(64) = 29 + 63 x 9

a(64) = 29 + 567

a(64) = 596

Thus,

The 64th term of the arithmetic sequence is 596.

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Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

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4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by  2:

x = 7

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Answer:

a) 1,14%

b) 317%

Step-by-step explanation

J = C . i . t

540 - 500 = 500 . i . 7

40 = 500 . 7 . i

i = 0,0114 = 1,14% within day

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

J = 500 . 0,0114 . 365 = 2085,71

2085,71 - 500 = 500 . i . 1

1585,71 = 500 . i

i = 3,17 = 317% annual

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

Answer:

x^2+6x+8

Step-by-step explanation:

x x x=x^2

x x2= 2x

4 x x=4x

4 x 2= 8

x^2+2x+4x+8

x^2+6x+8

Answer:

[tex]Volume = 54\,\pi[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

[tex]Volume=\pi \,R^2\,H[/tex]

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ= [tex] \sqrt{3969} [/tex]

XZ= 63 (simplify)

sinY

= XZ/ ZY

[tex] = \frac{63}{65} [/tex]

Answer:

63/65

Step-by-step explanation:

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

Answer:

$1,352.5

Step-by-step explanation:

A=p(1+r/n)^nt

Where,

P=principal

r=interest rate

n=no of periods

t=time

P=$5,000

r=2%

n=4

t=12

A=5000(1+0.02/4)^4*12

=5000(1+0.005)^48

=5000(1.005)^48

=5000(1.2705)

=$6,352.5

How much more money after 12 years

=$6,352.5-$5000

=$1,352.5

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

Answer:

between step 1 and 2 he left off the 5

Answer:

Correct option: C

Step-by-step explanation:

To solve the equation m*5 - 8 = -6, we can use the following steps:

step1: sum 8 in both sides, to make m*5 be the only term in the left side.

m*5 = 2

step2: divide both sides by 5, then we will have 'm' isolated in the left side.

m = 2/5

So the operations we could use is: add 8 to each side and then divide each side by 5.

Correct option: C

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

Answer:

E. x = 4

F. x = -2

Step-by-step explanation:

Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Answer:

7.125pounds

Step-by-step explanation:

if a recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes, in order to get the weight of the ingredients in the stew in pounds, we will convert all the units to pounds first and then add them together.

On conversion;

since 1 ounce = 0.0625pounds

Weight of beans in pounds = 22 * 0.0625 = 1.375pounds

Weight of meats = 2 1/2 pounds

Weight of carrots in pounds = 14*0.0625 = 0.875pounds

Weight of potatoes in pounds = 2+(6*0.0625) = 2+0.375 = 2.375pounds

weight of the ingredients in the stew in pounds = 1.375+2.5+0.875+2.375

weight of the ingredients in the stew in pounds = 7.125pounds

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

Answer:

1700

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

Based on the information given regarding the graph, it should be noted that the correct option is graph 4.

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).

Therefore, the section of the graph where the actual solution to the system lie is in graph 4.

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