Can some one help me with this？

With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.

As per the given,

Principle amount P = $500

Rate of interest r = 6% annually

Total investment = P(1 + r)^T

1500 = 500(1 + 0.06)^T

300 = 1.06^T

Take natural logs on both sides

ln300 = T ln1.06

T = 18.3 years

Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".

For more information about compound interest,

brainly.com/question/26457073

#SPJ2

Step-by-step explanation:

Given that,

A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.

Let x represent the length of the sides of squares removed from each corner.

(a) The volume of a cuboid is given by :

V = lbh

Put values,

V = x(40-2x)(40-2x)

(b) (40-2x) = -2(x-20)

So,

V = x(40-2x)(40-2x)

= [tex]4x\left(x-20\right)^2[/tex]

(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]

It is a cubic polynomial. Its degree is 3.

Answer:

Replace the variable x with −1

in the expression.

f(−1)=−(−1)²−1

Simplify −(−1)²−1.

Remove parentheses.

−(−1)²−1

Multiply −1 by (−1)²

by adding the exponents.

(−1)³−1

Raise −1 to the power of 3.

−1−1

Subtract 1 from −1.

−2

Step-by-step explanation:

Hope it's right

Answer:

The right answer is "[tex]0.2<\mu d<7.2[/tex]".

Step-by-step explanation:

The given values are:

[tex]\bar{x_0} = 3.7[/tex]

[tex]s_o=4.95[/tex]

[tex]t_{\frac{0.05}{2} }=2.2621[/tex]

As we know,

95% confidence for [tex]\mu_0[/tex] will be:

= [tex]\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }[/tex]

The lower bound will be:

= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]0.16\simeq 0.2[/tex]

The upper bound will be:

= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]7.23\simeq7.2[/tex]

Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"

Answer:

1/2  1/100

Step-by-step explanation:

One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

A number that expresses parts of a whole object or a set of objects is known as a fraction.

Given

One half of one tenth

Rewriting in mathematical form

= [tex]\frac{1}{2} (\frac{1}{10} )[/tex]

= [tex]\frac{1}{20}[/tex]

Hence, One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

Learn more about fraction here

https://brainly.com/question/10708469

#SPJ2

Answer:

1/9

Step-by-step explanation:

3 ^ -2

The negative in the exponent means to bring it to the denominator

1/ 3^2

1/9

Answer:

C. 1/9

Step-by-step explanation:

Answer:

the are would be 18

Step-by-step explanation:

bc 2x3=6 and then 4x3=12 so 12+6=18

Answer:

x = 49

Step-by-step explanation:

x/7 = 7

Multiply each side by 7

7* x/7 =7* 7

x = 49

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

Answer:

Step-by-step explanation:

Height= 1 foot

Radius= 1 foot

Density= 60 pounds per cubic foot

Density = mass/ volume

Vol of cone= 1/3× 22/7 ×(radius^2)

=1/3×22/7×1×1

=22/21

Mass=volume × density

= 22/21 × 60

=440/7

Energy = mgh

= 440/7 ×10 × 1

= 628.57 foot pounds

Answer:

Step-by-step explanation:

Area of the circle = 1400π

ie. πr^2 = 1400π . ie r^2 =1400. So r=10√14

Area A = πr^2.Differentiate w.r.t.t

dA/dt = 2πr. dr/dt

900 = 2×π×10√14 .dr/dt

So. dr/dt = 900/2×π×10√14 = 45/π√14 m/sec.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

(-10, -4)

Step-by-step explanation:

That is the ordered pair

Answer:

Step-by-step explanation:

a.12÷36/7=7/3

12*7/36

84/36

7/3

b.let the number be x

x*1/2=x/2

x*1/2

x/2

A- True

12÷36/7 = 2.333...

7/3 = 2.333....

Hence it's true

B- True

Consider Any random number eg 10

multiplying it by 1/2 gives 5

and dividing by 2 also gives 5

hence it's true.

C- False

3/2 = 1.5

multiplying it to any number will produce half of the number more.

Answer:

150 square feet

Step-by-step explanation:

12 1/2 * 12 = 150

Answer:

Option D.

Step-by-step explanation:

Domain and range of inverse function:

The domain of the inverse function(x values) is the range(y values) of the original function.

The range of the interse function(y values) is the domain of the original function(x values).

Original function:

Domain: [tex]x \geq 0[/tex]

Range: [tex]y \leq -1[/tex]

Inverse function:

x values in the domain of the inverse function are the y values in the range of the original function. So

Domain: [tex]x \leq 1[/tex]

Same for range(exchange of y and x).

Range: [tex]y \geq 0[/tex]

The answer is given by option D.

Answer:

Red and blue is the correct answer

Step-by-step explanation:

Answer:

you add an image

Step-by-step explanation:

Answer:

... if it had the same slope in the y=mx+b equation where m is the slope and x is just x and b is the y-intercept

Step-by-step explanation:

say Car A had the equation y=2x+3- Car B would also have to have be y=2x but the y intercept could be any value

Answer:

Volume: The space which fills up a certain object on the inside.

Answer:

A) 99.74%

B) 633.6 hours and 986.4 hours

Step-by-step explanation:

Solution :

Given that ,

mean =  u =810

standard deviation = sigma  = 90    

P(540< x <1080 ) = P[(540-810) /90 < (x - u   ) /  sigma < (1080-810) /90 )]

= P( -3< Z < 3)

= P(Z <3 ) - P(Z < -3)

Using z table    

=0.9987-0.0013

= 0.9974

answer=99.74%

(B)

middle 95% of score is

P(-z < Z < z) = 0.95

P(Z < z) - P(Z < -z) = 0.95

2 P(Z < z) - 1 = 0.95

2 P(Z < z) = 1 + 0. 95= 1.95

P(Z < z) = 1.95/ 2 = 0.975

P(Z <1.96 ) = 0.975

z  ±1.96    

Using z-score formula  

x= z * sigma  +  u

x= -1.96* 90+810

x= 633.6

Using z-score formula  

x= z * sigma  +  u

x=1.96* 90+810

x= 986.4

633.6 hours and 986.4 hours

Answer:

Answer. = 176 m sq.

Step-by-step explanation:

Hope it helps you

Have a nice day

Answer:

Step-by-step explanation:

first no answer=1/4*8/-7 =8/-28

second no answer=6/-5*7/2 =42/-10

Answer:

800 Books were signed out

Step-by-step explanation:

20% of 4000 is 800

Hi there!  

»»————-　★　————-««

I believe your answer is:

800 books.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}[/tex]

⸻⸻⸻⸻

There should be 800 books that were teen romance.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Average strength of bond = 8.08 (Approx.)

Step-by-step explanation:

Given data;

11.5  12.1  9.9  9.3  7.8  6.2  6.6  7.0  13.4  17.1  9.3  5.6  5.7  5.4  5.2  5.1  4.9  10.7   15.2  8.5  4.2  4.0  3.9  3.8  3.6  3.4  20.6  25.5  13.8  12.6  13.1  8.9  8.2  10.7  14.2  7.6  5.2  5.5  5.1  5.0  5.2  4.8  4.1  3.8  3.7  3.6  3.6  3.6

Find:

Average strength of bond

Computation:

Average mean = Sum of all observation / Number of observation

Average strength of bond = [11.5 + 12.1 + 9.9 + 9.3 + 7.8 + 6.2 + 6.6 + 7.0 + 13.4 + 17.1 + 9.3 + 5.6 + 5.7 + 5.4 + 5.2 + 5.1 + 4.9 + 10.7 +  15.2 + 8.5 + 4.2 + 4.0 + 3.9 + 3.8 + 3.6 + 3.4 + 20.6 + 25.5 + 13.8 + 12.6 + 13.1 + 8.9 + 8.2 + 10.7 + 14.2 + 7.6 + 5.2 + 5.5 + 5.1 + 5.0 + 5.2 + 4.8 + 4.1 + 3.8 + 3.7 + 3.6 + 3.6 + 3.6] / 48

Average strength of bond = [387.8] / 48

Average strength of bond = 8.0791

Average strength of bond = 8.08 (Approx.)

Answer:

B) the interquartile range of the data set is 2

Step-by-step explanation:

To find the interquartile range you have to subtract Q3-Q1. Which would be 3-1 and the answer is 2.

Hope this helped :)

Answer:86 Step-by-step explanation: