Estimate then record the product $473x9

Answers

Answer 1

Answer: So because 9 and 10 are close to each other, and the fact that 10 is really easy to multiply by, you do 473 x 10 which is 4730, because you just add a 0 to the end.
This means that an estimate is 4730 or if you want to be less specific, <4730, because 9 is less than 10.
The actual product though is 4257.

Answer 2

Answer: the Answer is 4,267
473 times 9 is 4,267 because u always multiply the number that is below the number that u are multiplying 4,267 times 9. 9 times 7 is 27 9 times 7 is 64 plus 2 is 66 and 9 times 4 is 36 so always multiply that small number with the numbers that is bigger

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You want to have $3000 in your savings account after 3 years. Find the amount you should deposit for each of the situations described below.a. the account pays 3% annual interest compounded quarterly
b. the account pays 2.25% annual interest compounded monthly
c. the account pays 2% annual interest compounded daily
(SHOW YOUR WORK)

Answers

A) take the annual interest and divide it by 4 since it is compounded quarterly.
.03 ÷ 4 = .0075. Add 1 to include your principal. 1.0075 and raise it to the 12th power since you will be doing this 4 times a year for 3 years (4 x 3 =12).
Since you want 3000 at the end of this period you should do:

3000 ÷ (1.0075¹²) and you get $2742.71 which is how much you should put in.

B) .001875 is the monthly rate of 2.25% (.0225 divided by 12)
This time we have to do it to the 36th power since there are 36 months in 3 years.
Don't forget to add the 1 to include your money.
3000 ÷ (1.001875¹²) = $2804.36

C) 2% compounded daily means .02 ÷ 365 = (about) .00005479
Once again we add our principal by putting a 1 in front 1.00005479
3000 ÷ (1.00005479¹⁰⁹⁵) (1095 because 365 x 3 years = 1095 days)
= $2825.31

Just to emphasize why I always added 1. Since I am dividing, dividing by 1 givesyou the same as you start with (3000 ÷1 is still 3000) The small numbers after the 1 reduce the amount (3000) to the amount you will have to put in to realize $3000 at the end of each time period.

Final answer:

To have $3000 in the savings account after 3 years, you should deposit $2688.97 for situation a, $2669.29 for situation b, and $2667.99 for situation c.

Explanation:

To find the amount you should deposit for each situation, we can use the formula for compound interest:

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

where A is the final amount, P is the principal amount (the initial deposit), r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years.

Using the given information, we can calculate:

For situation a (3% annual interest compounded quarterly), we have A = $3000, r = 3% = 0.03, n = 4 (since interest is compounded quarterly), and t = 3. Rearranging the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.03/4))^(4*3) = $2688.97 (rounded to two decimal places).
For situation b (2.25% annual interest compounded monthly), we have A = $3000, r = 2.25% = 0.0225, n = 12 (since interest is compounded monthly), and t = 3. Substituting these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.0225/12))^(12*3) = $2669.29 (rounded to two decimal places).
For situation c (2% annual interest compounded daily), we have A = $3000, r = 2% = 0.02, n = 365 (since interest is compounded daily), and t = 3. Plugging these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.02/365))^(365*3) = $2667.99 (rounded to two decimal places).

Learn more about Compound interest here:

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Estimate the sum of 21+17.

Answers

40 Is The Sum Of 21+17.

When estimating sums, you need to round to get to the answer.

So in the problem:

21+17 = ?

I round 21 to 20.

I round 17 to 20.

So know, the problem is:

20+20

The answer to 20 + 20 equals 40.

The answer is 40.

If 9(x − 9) = −11, then x = ?A. -92/9
B. -20/9
C. -11/9
D. -2/9
E. 70/9

Answers

$9(x - 9) =-11\n \n9x-9\cdot 9=-11\n \n9x-81=-11 \ \ |+81\n \n9x-81+81=-11+81\n \n9x=70 \ \ /:9\n \nx=(70)/(9)\n \nAnswer : \ E. \ \ 70/9$

$9(x - 9) = -11\n 9x-81=-11\n 9x=70\n x=(70)/(9)$

What do the graphs of multiplicative patterns have in common?

Answers

Multiplicative patterns are the patterns in which when a constant value (apart from zero) is multiplied by a given input value to know the output value.Hence the graphs of multiplicative pattern have in common that they are repetitive for the same value. The multiplicative pattern graph for the above equation is attached below.

What is multiplicative pattern graph?

Multiplicative patterns are the patterns in which when a constant value (apart from zero) is multiplied by a given input value to know the output value. Such patterns are multiplicative pattern as they are repeating the values for variables with the same number.

Let a function of variable x for a line as,

$y=4x$

The value for variable $y$ will be different for the different values of the variable $x$ . For the given function when the value of $x$ is 0 then

$y=4*0$

$y=0$

When the value of $x$ is 1 then

$y=4*1$

$y=4$

When the value of $x$ is 2 then

$y=4*2$

$y=8$

when the value of $x$ is 3 then

$y=4*3$

$y=12$

Thus the values for the function is in the form of multiple of four. Such patterns are multiplicative pattern as they are repeating the values for variables with the same number.

Hence, the graphs of multiplicative pattern have in common that they are repetitive for the same value. The multiplicative pattern graph for the above equation is attached below.

Learn more abut the multiplicative pattern here;

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they repeat by adding that same number again and again

5–2•3+6(9+1)=? Geometry Math.

Answers

Answer:

Step-by-step explanation:

5 - 2 • 3 + 6(9 + 1) =

Use the correct order of operations.

Do the addition in the parentheses first.

= 5 - 2 • 3 + 6(10)

Now do the multiplications in the order they appear from left to right.

= 5 - 6 + 60

Now do additions and subtractions in the order they appear from left to right.

= -1 + 60

= 59

320= how many hundreds/ones? You get

Thanks

Answers

Okay, so the place values are ones, tens, and then then hundreds, from the right to left. Following that pattern, the 0 would be the ones, the 2 would be tens, and the 3 would be the hundreds. So, now you know how to find the place value, you can determine that there are 3 hundreds, 2 tens, and ones, or 20 ones and 3 hundreds.

3 one hundreds and 20 ones

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