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3 years ago

A $340 item is marked down by 50%. What is the new cost of the item?

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

$170 is the new cost of the item

LekaFEV [45]3 years ago

5 0

Answer: the answer is $170.00

Step-by-step explanation:

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15 POINTS!!! (16*4^3*8^8)^5 Find the answer and show work how you got it

777dan777 [17]

Answer:

2^170

Step-by-step explanation:

(16 x 4^3 x 8^8)^ 5

- start by converting it all to a common base

(2^4 x 2^3 x 2^24)^5

- calculate the product, by adding all the powers

(2^34)^5

= 2^170

5 0

3 years ago

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Pls help asap solve each inequality 9n - 1 < 10n 5h ≤ 12 + 4h

Stella [2.4K]

Here try this answer

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2 years ago

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A straight line has equation y=5-3x what is the gradient of the line?

BARSIC [14]

Answer:

-3

Step-by-step explanation:

1. rearrange so it's in the formula y=mx+C

2. y=-3x+5

y=mx+C

M=gradient

-3=m

gradient= -3

7 0

3 years ago

Express the function as the sum of a power series by first using partial fractions. f(x) = 8 x2 − 4x − 12 f(x) = ∞ n = 0 find th

alexandr1967 [171]

I'm guessing the function is

$f(x)=\dfrac8{x^2-4x-12}=\dfrac8{(x-6)(x+2)}$

which, split into partial fractions, is equivalent to

$\dfrac1{x-6}-\dfrac1{x+2}$

Recall that for $|x|$ we have

$\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

With some rearranging, we find

$\dfrac1{x-6}=-\dfrac16\dfrac1{1-\frac x6}=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n$

valid for $\left|\dfrac x6\right|$ , or $|x|$ , and

$\dfrac1{x+2}=\dfrac12\dfrac1{1-\left(-\frac x2\right)}=\displaystyle\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n$

valid for $\left|-\dfrac x2\right|$ , or $|x|$ .

So we have

$f(x)=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n-\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n$

$f(x)=\displaystyle-\sum_{n=0}^\infty\left(\frac{x^n}{6^{n+1}}+\frac{(-x)^n}{2^{n+1}}\right)$

$f(x)=\displaystyle-\sum_{n=0}^\infty\frac{1+3(-3)^n}{6^{n+1}}x^n$

Taken together, the power series for $f(x)$ can only converge for $|x|$ , or $-2$ .

6 0

3 years ago

HELPPP!! Triangle ABC is similar to triangle MOP. A = 45 and P = 102. What is the measure of B?

erma4kov [3.2K]

Answer:

$\large\boxed{\large\boxed{33\º}}$

Explanation:

The order of the letters naming the triangles is relevant. When it is said that triangle ABC is similar to triangle MOP, means that:

∡A ≅ ∡M

∡B ≅ ∡O

∡C ≅ ∡P

Therefore:

∡A = 45º (given)

∡P = 102º (given)

∡C = 102º (by substitution)

Now, you have two angles of triangle ABC and can find the third one:

∡A + ∡B + ∡C = 180º

∡B = 180º - ∡A - ∡B

∡B = 180º - 45º - 102º = 33º ← answer

6 0

3 years ago