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2 years ago

Dana buys a cat pillow for 43.00 the sales tax is 7%?

Mathematics

1 answer:

Doss [256]2 years ago

6 0

Answer:

Step-by-step explanation:

43.00 = 100% = 1

7% = 0.07

So to work out the total price you need to times 43 by 1.07 = 46.01

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a ratio of science books to art books is 2:5. 20 % of the books were unsold and 2240 were sold. total amount of each book?

mash [69]

Science = 512
art = 1,280

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2 years ago

Jacob works as a mechanic at an hourly rate of $36 and earns time and a half for for any overtime. Last week he worked 37 hours

Korvikt [17]

Answer:

1620 which isn't there so I'm probably wrong but maybe c or a

Step-by-step explanation:

all we do is 36(37+8) and first we do 37 plus 8 that's 45 so 45×36

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3 years ago

How would you solve #2 and #3?

Pani-rosa [81]

Connect the dots to each other

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2 years ago

The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F

hodyreva [135]

Answer:

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

2x=9-1

2x=8

x=8/2=4

Since y=x+1 then y=4+1=5

Therefore, the original number, xy is 45

4 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

2 years ago