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Tanya [424]
3 years ago
9

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Mathematics
2 answers:
Sonbull [250]3 years ago
8 0

Answer: 7/2^2

Step-by-step explanation:

Ed 2020

tamaranim1 [39]3 years ago
5 0

Answer: (7/2)^2

Step-by-step explanation:

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0
3 years ago
If GJ = 7 and HJ = 6, then H _____ G. Choose the relationship symbol that would make a true statement. &lt; = &gt;
pantera1 [17]

It would be less than. (<)

6 0
3 years ago
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Which statement correctly explains how kasi could find a solution to the following system of linear equations using elimination
jarptica [38.1K]

A. She can multiply the bottom equation by -4 and then add the equations to solve for h.

-4g - 15h = -17

4g - 20h = -52

Add them to get

-15h = -17

-20h = -52

From here, you can solve for h.

5 0
3 years ago
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Find the amplitude of y = -4 sin x.
lyudmila [28]
Answer:
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4
6 0
2 years ago
On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line s
liq [111]

Answer:

Step-by-step explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q.  Note how 3 and 5 add  up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.

8 0
3 years ago
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