Express the polynomial 2m^2-3+7m in standard form

Answers

Answer 1

Answer: standard form is basically ordering it in order of decreasing powers, left to right, largest to biggest

powers of the placeholder, not of constants
we see we have 2nd degree and 1st
2>1
2m^2 then 7m^1 then -3m^0 or
2m^2+7m-3

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Compute the sales tax on the following transactions. An article retails for $38.50. The city sales tax is 4%, and the federal excise tax is 7%. How much is the total tax? A. 1.54 B. 2.70
C. 4.24
D. 34.26

Answers

The answer is C) 4.24

4% + 7% = 11%

to get 11% of 38.50 you move the decimal two spaces to the left on the percent and multiply that number by the other number.

11% ---> .11

38.50 x .11= 4.24.

I hope this answer gave you a better understanding on how to work with percentages! :) Have a good day :)

Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?

Answers

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective: Divide 16 by 5 then divide 48/15

16/5=3.2 48/15=3.2 Hence the porportions are the same.

Find the balance in the account: $1,600 principal earning 7%, compounded semi-annually, after 33 years

Answers

A principal invested for n number of years increases as the equation projects F = P * (1+ i) ^n where F is the future worth, p is the present worth or principal and i is the interest rate. substituting, F = $1600 * (1+ 0.07/2) ^33*2 equal to amount of future worth or balance of $15494.70

Answer:

$15,494.70

Step-by-step explanation:

Compounding twice year, 3.5% each, 66 times

result=$1,600*1.035^66 = $15,494.70

Shade the model to show the decimal 0.674

Answers

0.674 means that it 674/1000

which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.

If the model consist of 500 squares, you have to shade 337 of the squares ( you get the number after dividing both 674 and 1000 with 2)

Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?

Answers

The correct answer is:
5.9 years.

Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.

The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time

using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.

This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).

Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).

Simplifying the right hand side, we have:
10000-1200x=2000+160x.

Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.

Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.

Divide both sides by 1360:
$(8000)/(1360) = (1360x)/(1360)$ ;
5.9=x.

Let x be the number of needed years.

1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.

2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have $\$2,000\cdot (1.08)^x.$