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2 years ago

Find the pattern for sequence 5,10,20,40

Mathematics

2 answers:

lord [1]2 years ago

8 0

Answer:

it multiples time 2 every time

Step-by-step explanation:

5 to ten 5times 2

10 to 20 10 time 2

20 to 40. 20 time 2

vlabodo [156]2 years ago

4 0

Answer:

Everything is x2 itself.

Step-by-step explanation:

5x2=10 10x2=20 20x2=40

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Calculate interior angle of a regular 15 sided polygon

AleksAgata [21]

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = $\frac{sum}{n}$ = $\frac{2340}{15}$ = 156°

8 0

3 years ago

Arturo purchased a package of 50 blank CDs. After he used “x” CDs, he had “x” less than 50 CDs remaining. How many CDs did he ha

Katarina [22]

Answer:

19 Cds left.

Step-by-step explanation:

The question said he used 31 Cds, so 50 minus 31 is 19.

4 0

2 years ago

Write an equation parallel to 5x-4y=4 that passes through the point (-8,2)

ehidna [41]

Since the line is parallel, the same coefficients can be used for x and y. The constant on the right needs to change so that the given point will satisfy the equation.

... 5x - 4y = 5(-8) -4(2) = -40 -8 = -48

Your equation is

... 5x -4y = -48

4 0

2 years ago

Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up

Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

a. Ms. Lane will repay the bank fewer dollars than she initially borrowed.

b. Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

c. Ms. Lane's repayment will give the bank greater purchasing power than it originally loaned her.

d. Ms. Lane's repayment will give the bank the same purchasing power that it originally loaned her.'

Solution :

We have,

The borrowed amount, P = $ 1,000,

Interest rate, r = 10% = 0.1,

Time, t = 1 year,

Thus, the returned amount,

$A=P(1+r)^t=1000(1+0.1)^1=1000(1.1) = \$ 1100$

∵ A > P

⇒ Ms. Lane will repay the bank greater dollars than she initially borrowed.

Now, the price level went up by 15 percent,

∵ 1000 + 15% of 1000 = 1000 + 150 = 1500

And, 1500 > 1100

⇒ Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

8 0

3 years ago

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9

skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let $u^2=x^4\\u = x^2$

Subbing in:

$9u^2-2u-7=0$

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

$9u^2-9u+7u-7=0$

Group together in groups of 2:

$(9u^2-9u)+(7u-7)=0$

Now factor out what's common within each set of parenthesis:

$9u(u-1)+7(u-1)=0$

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

$(u-1)(9u+7)=0$

Remember that $u=x^2$

so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

$(x^2-1)(9x^2+7)=0$

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring $(x^2-1)$ gives us that x = 1 and -1. The other set is a bit more tricky. If