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Ilya [14]
3 years ago
10

Q=p(r+s) solve for p

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0
Q=p(r+s)
Q/(r+s)= p(r+s)/(r+s)
ANSWER
Q/(r+s) = P

Whatever you do to one side of the equation, you must do to the other.
Reil [10]3 years ago
3 0
Q = p(r + s)
Use the distributive property
Q = pr + ps
Q = p x r + p x s
Q = p x p + r x s
Q = p^2 + rs
Subtract rs from both sides
Q - rs = p^2
Square root both sides
sqrt Q - rs = p
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1; (1/4)/(1/4), all you do is flip the fraction to make the reciprocal and multiply, so (4/1)x(1/4)=1
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3 years ago
Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0
3 years ago
A 44<br> B 5<br> C 10<br> D None of the choices are correct.
Brums [2.3K]

Answer:

D. None of the choices are correct.

Step-by-step explanation:

If <em>B</em> is the midpoint of AC, then that means that AB is congruent to BC. Because this is true, you can set 8x + 4 and 10x - 8 equal.

8x + 4 = 10x - 8

Now just solve for x. Subtract 8x from both sides and add 8 to both sides.

4 = 2x - 8

12 = 2x

Then divide by 2.

6 = x

Another way to do this problem is to set up the same equation, but instead of solving it, plug in answer choices A, B, and C independently of each other. Then simplify to see if those are right. You'll find out that none of them are.

4 0
3 years ago
Can you answer the question in the picture pls :)
Sergeu [11.5K]
The answer is letter B
5 0
3 years ago
Caroline places five poles A,B,C,D,and E in order along a straight line. The distance poles A and D is 1 yard. The distance betw
hodyreva [135]
We have
------------------------------------------------------------------
A              B                C                  D                  E 
----------------------------------------------- 
                    1 yard 
--------------  
 1/5 yard                                           ------------------ 
                                                              7/10 yard
<span>The distance poles B and D= (1-1/5)=4/5 yard

</span>The distance poles B and E= BD+DE=4/5+7/10=(8+7)/10=15/10=3/2 yard

the answer is 3/2 yard (distance poles B and E)
8 0
3 years ago
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