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Arte-miy333 [17]
3 years ago
13

Which of the following correctly completes the square for the equation below x^2+6x=22

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
X² + 6x = 22
x² + 6x = 31 - 9
x² + 6x + 9 = 31
(x+3)² = 31
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You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o
Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

A=P(1+r)^t

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59

Since, A_1 < A_2

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0
2 years ago
Simplify<br><br> 1/4 (1-2/3)^2+1/3
tiny-mole [99]
In exact form: 13/36

in decimal form: 0.36111111...
7 0
3 years ago
Read 2 more answers
Just say 1,2,3,4,5,6 or 7 and there are more than 1 answer WORTH 90 POINTS!! HELP ME​
alisha [4.7K]
Yo bro i got to add words but the answer is 2
7 0
3 years ago
Can someone please help me I really need help please help me
scZoUnD [109]

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

3 0
2 years ago
Read 2 more answers
Is 17/31 greater than 19/14
andreev551 [17]

Answer:

No

Step-by-step explanation:

Put both in your calculator. Do it in this order.

17

÷

31

=

0.5484

=========

Now do the next one

18

÷

14

=

1.357

19/14 > 17/31

4 0
3 years ago
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