Answer:
9.5%
Step-by-step explanation:
Use the formula I = Prt
I is the interest (unknown), P is the principal (1000), rate is the percent (unknown), and t is time in years (9/12).
9 months is a fraction of a year. There are 12 months in a year, so our fraction is 9/12. You can reduce this fraction by dividing by 3. The fraction reduced is 3/4. You can also use the decimal which is .75.
First we need to solve how much interest we earned. 1071.25 is the balance, so we need to subtract the principal from the balance.
1071.25 - 1000 = 71.25
Plug the numbers in to the formula. We are solving for r.
71.25 = 1000(.75)r
71.25 = 750r
71.25/750 = 750r/750
r = 0.095
Convert the decimal to a percent by moving the decimal two places right.
0.095 = 9.5%
Well, that would be 1.5x7.. which is 10.5 :) your welcome
<span><span> 5n2+10n+20</span> </span>Final result :<span> 5 • (n2 + 2n + 4)
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5n2 + 10n) + 20
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> 5n2 + 10n + 20</span> = <span> 5 • (n2 + 2n + 4)</span>
Trying to factor by splitting the middle term
<span> 3.2 </span> Factoring <span> n2 + 2n + 4</span>
The first term is, <span> <span>n2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2n </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> 2 </span>.
<span><span> -4 + -1 = -5</span><span> -2 + -2 = -4</span><span> -1 + -4 = -5</span><span> 1 + 4 = 5</span><span> 2 + 2 = 4</span><span> 4 + 1 = 5</span></span>
for the first one, use Pythagoras theory to find the answer which is
opposite2+adjacent2=hypotenus2
the 2 behind all of them describe the square of all of them
