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3 years ago

How many solutions does the system of equations have?

1 answer:

3 0

First, simplify this system:

2x = -10y + 6 and x + 5y = 3

by dividing the first equation by 2. Result: x = -5y + 3

Subbing this into the 2nd equation, -5y + 3 + 5y = 3

This equation is always true, so this system has infinitely many sol'ns.

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Cindy set: 2 groups of 10 buttons and 34 single buttons

vova2212 [387]

In all you have 54 buttons because if you add 10 plus 10 that equals 20 plus 34 and that gets 54 buttons in all

4 0

3 years ago

You plan to set up an endowment at your alma mater that will fund $209,000 of scholarships each year indefinitely. If the princi

Leto [7]

Answer:

$199,047.62

Step-by-step explanation:

PV = X(1+i)^nm

X=$209000

i=5% = 0.05

n=1

m=1

Pv=$209000(1+0.05)^-1x1

Pv=$209000(1.05)^-1

Pv=$209000(1/1.05)

Pv=$209000/1.05

Pv=$199,047.62

$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.

6 0

2 years ago

A student deposits the same amount of money into her bank account each week. At the end of the second week she has $30 in her ac

Nonamiya [84]

The student will have $135 in her bank account at the end of the ninth week. You can fine this out by finding out the amount she deposits a week and to do this you would take the $30 and divide it by 2 because she had $30 at the end of the second week.
30/2=15
So you see that the student deposits $15 each week, so to find out how much money she will have in 9 weeks you will multiply her $15 by 9.
15x9=135
So the student will have $135 at the end of the ninth week.

6 0

2 years ago

If f(x) = 3x22, evaluate afI: ()k=1

Korolek [52]

Step 1: Write out the function given

$f(x)=3x^2-x$

Step 2: Interprete the question given

$\sum ^5_{k\mathop=1}f(\frac{k}{2})$

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

$\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}$ $\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}$

Hence, the answer is 33.75

5 0

7 months ago

Please help its for today before 11

Black_prince [1.1K]

Alright, the zeroes are where it intersects with the X-axis so...

4) -15 and 10

5) 6 and 18

6) -5 and 0

7) -20 and -8

8) 2 and 10

9) -21 and 14

Hope I was able to help you :)

6 0

2 years ago