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Maslowich
3 years ago
13

compare the pair of fractions below. match the statements to the correct symbol. each symbol may be used more than once or not a

t all. 3/7 is < > or = 9/21

Mathematics
1 answer:
Lelu [443]3 years ago
4 0
3/7 is equal to 9/21 because when you simplify 9/21 you can divide both 9 and 21 with 3 so you would get 3/7
hope this helps
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2. Saul invested an average of $425 per month since age 30 in various securities for his
BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

5 0
3 years ago
Fedor invests $3300 in an account earning 2% interest, compounded
katen-ka-za [31]

Answer:

  c.  $3866

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

  A(8) = $3300(1.02^8) = $3386

7 0
2 years ago
Which is an equation of the line that passes through<br> the points (5, 2) and (10, -3)?
sashaice [31]

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

x_1=5\\y_1=2\\x_2=10\\y_2=-3

Now substitute these values into the formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-2}{10-5}

Simplify

m=\frac{-5}{5}

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: brainly.com/question/27166723

4 0
2 years ago
What is the midpoint for (-10,3) and (-3,-4)
vova2212 [387]

The midpoint is (-6.5,-0.5)

try using Desmos.com, when dealing with coordinates and functions. It really works!

7 0
3 years ago
Need help on number 3 please!!
Galina-37 [17]

Answer:

f(x) - g(x) = x - 3

Step-by-step explanation:

f(x) - g(x)    starting with the basic equation

2x - (x + 3)    implementing the values into equation

x - 3       subtracting x and 3 from 2x making 2x into 1x (or just x) and making a       negative 3

6 0
2 years ago
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