If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?

Answer:

n^2 + 2n.

Step-by-step explanation:

n       =       1     2     3     4     5

term t =     3    8     15   24   35

Diffs  =          5    7      9     11

                        2     2     2             - so the nth term contains n^2.

n^2   =       1     4      9    16    25

t - n^2 =    2    4      6     8     10

This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n

So the nth term of the quadratic sequence = n^2 + 2n.

Answer:

15

Step-by-step explanation:

n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.

Answer:

Step-by-step explanation:

numbers of Ostrich = 8700 ÷ 12

numbers of Ostrich = 725

Answer:

94.20 yds

Step-by-step explanation:

C = 2 pi r

     2 pi (15) = 94.20 yds

Answer is 6.

Explaination:

When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.

Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

Answer:

I think 90

Step-by-step explanation:

Would help if you provided more information

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

Answer:

For the d day Jackson exercised for t(d)=  30 + 2d where d is the number of day.

t(d)= 30 + 2d

Step-by-step explanation:

Let the total time on the treadmill be given by y each day and let x take the values of number of the days exercised . For the first day x= 0  and so on.

Therefore

For the first day Jackson exercised for  30 minutes

y= 30 + 2x

y= 30 + 2(0)

y= 30 minutes

For the second day Jackson exercised for (x=1) 32 minutes

y= 30 + 2x

y= 30 + 2(1)

y= 32 minutes

For the third day Jackson exercised for (x=2) 34 minutes

y= 30 + 2x

y= 30 + 2(2)

y= 34 minutes

For the fourth day Jackson exercised for (x=3) 36 minutes

y= 30 + 2x

y= 30 + 2(3)

y= 36 minutes

For the d day Jackson exercised for (x=d) 30 + 2d where d is the number of day.

y= 30 + 2x

y= 30 + 2(d)

y= 30 + 2d

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

Answer:

The area is 256

Step-by-step explanation:

Step-by-step explanation:

4x - 5y = -20

-5y = -4x -20

y = 4/5x + 4

Answer: $1125

Step-by-step explanation: 7500 x 3%=  225   Then multiply 225 by the 5 years. You will then get 1125.  Marsha earned $1,125 in interest.

I hoped this helped, have a great rest of your day!

Answer:

$1125

Step-by-step explanation:

plz crown

Answer:

8 cookies left over

Step-by-step explanation:

use long division.

divide 143 by 15.the remainder is 8

Answer:

y=0x+5

Step-by-step explanation:

Answer:

2,2gggffgigzrfgcf gg cyg

Answer:

v=2500-312.5x, after 3 years its worth 1562.5$

Step-by-step explanation:

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

Answer:

x [tex]\geq 11[/tex]

Step-by-step explanation:

x can equal anything -11 and above

Answer:

3.14

Step-by-step explanation:

Step-by-step explanation:

2x 3x5 = 30 ÷ 3 = 10

hope this helps

Answer:

416$

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Every tenth is equal to ten one-hundreths/10%. So, since 0.2 is essentially a different way to write 20%, 20% of customers wanted cheese and no chili.

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

Answer:

yo

Step-by-step explanation: