What is 712,000 rounded to the nearest 10,000?

In his first year, a math teacher earned $32,000. Each successive year, he

Ivan

Answer:

Step-by-step explanation:

Each successive year, he

earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence(amount earned in the first year).

r represents the common ratio.

n represents the number of terms(years).

From the information given,

a = $32,000

r = 1 + 5/100 = 1.05

n = 20 years

The amount earned in his 20th year, T20 is

T20 = 32000 × 1.05^(20 - 1)

T20 = 32000 × 1.05^(19)

T20 = $80862.4

To determine the his total

earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as

Sn = (ar^n - 1)/(r - 1)

Therefore, the sum of the first 20 terms, S20 is

S20 = (32000 × 1.05^(20) - 1)/1.05 - 1

S20 = (32000 × 1.653)/0.05

S20 = $1057920

3 0

3 years ago

Can someone help please

Ira Lisetskai [31]

Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.

5 0

3 years ago

A local realtor makes 6% commission on all houses he sells. Last month his sales totaled $1,850,000. How much will his commissio

Eddi Din [679]

His commission would be 111,000.
You can get this answer by multiplying 6% times 1,850,000. This would get you the answer of 111,000.

Hope this helps! I would greatly appreciate a brainliest! :)

6 0

3 years ago

Each of these labelled bags contains two apples.

Dahasolnce [82]

Step-by-step explanation:

all bags are mislabeled. that means, whatever is written on either of the 3 bags, is wrong.

so, the bag labeled "green" is NOT the one with 2 green apples. the one labeled "red" is NOT the one with 2 red apples.

and - my favorite - the one labeled "red/green" is NOT the one with the mixture.

so, we pick one apple from the bag that is currently (mis-)labeled as "red/green".

as it cannot be the mixed bag, it must be one of the pure color bags.

whatever color shows up, we know this is the bag with 2 apples of that color.

then the bag that was labeled with that color must be the other pure color (if it were the mixed bag, it would mean that the third bag was labeled correctly, which is not the case). and then the third bag is the mixed one.

for example :

we get a red apple in our first pick.

so, the bag, that was originally (but wrongly) labeled as "red/green" gets the label "red".

then the bag with the original (but again wrong) label "green" gets now the label "red".

and the third bag with the original (but wrong) label "red" gets the "red/green" label.

if the first apple is green, then the same principle just with reversed colors applies.

7 0

2 years ago

At a bottling plant, 10,000 liters of carbonated water

Dvinal [7]

Answer:

2500

Step-by-step explanation:

10,000/3,000=10/3

10x750=7500

7500/3=2500

8 0

3 years ago