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matrenka [14]
2 years ago
8

Can someone help me with number 8?

Mathematics
1 answer:
Hoochie [10]2 years ago
6 0

Answer:

Step-by-step explanation:

I cant really see it post it again

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Square the binomial<br>(2x - 3)²​
n200080 [17]

Step-by-step explanation:

Change it into this

(2x-3)(2x-3)

Then multiply the insides and outsides and add them

(2x*2x) + (2x* -3) + (-3*2x) + (-3*-3)

Simplify

4x^2 - 6x -6x + 9

Simplify again

4x^2 - 12x + 9

6 0
3 years ago
9.
Mashcka [7]
To solve this we are going to use the formula for compounded interest: A=P(1+ \frac{r}{n})^{nt}
where 
A is the final amount after t years 
P is the initial amount 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
t is the time in years 

We know for our problem that P=1380, r= \frac{5}{100} =0.05, and t=3. Since the interest is compounded daily, it is compounded 365 times in year; therefore, n=365. Lets replace those values in our formula to find A:
A=P(1+ \frac{r}{n})^{nt}
A=1380(1+ \frac{0.05}{365})^{(365)(3)}
A=1603.31

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>
4 0
3 years ago
Marry Emma earned $45.00 babysitting her cousin. She saved $18.50 and spent the remainder. How much did Mary Emma spend?
gizmo_the_mogwai [7]

Answer:

She spent $26.50

Step-by-step explanation:

subtract $18.50 from $45.00

3 0
3 years ago
The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
3 years ago
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