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2 years ago

5

bobs gift shop sold 350 cards for mothers day one saleman henry sold 4% of the cards sold for mothers day how many cards did hen

ry sell?

1 answer:

marta [7]2 years ago

7 0

Answer:

14

Step-by-step explanation:

4% of 350 is 14 so he only sold 14

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How many ways can first second and third place assigned

Papessa [141]

Answer:

i cannot help you get the answer to the question without more information but i can explain how to solve it, what your question is, is called a "permutation"

Step-by-step explanation:

To calculate permutations, use the equation nPr, where n is the total number of choices and r is the amount of items being selected. To solve this equation, use the equation nPr = n! / (n - r)! , an exclimation point means the factorial, say we need the factorial of 4, we would do this 4x3x2x1 go left to right, and it is not all at once. you multiply 4 times 3 which equals 12, then multiply 12 times 2... so on and so forth

3 0

3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

Travis just got a new credit card that offers inductors APRof 3.6% for first 3 months and standard APR of 14.4% thereafter. If i

Makovka662 [10]

Answer:

Month 1 : 0.002988

Month 2: 0.00299692814

Month 3: 0.00300588297

Step-by-step explanation:

Since we're only finding the interest for the first three months, it's easy to do it by performing the simple interest formula. But first, we need divide 3 by 12, since we calculate interest using years. 3/12 = 1/4 = 0.25

The standard simple interest calculation is done by multiplying the starting amount, by the interest, by the time, then dividing by 100 to put it into a percentage.

1 month = 1/12 or approximately 0.083 of the year.

Let's say P = 1. For the first month, it will be 1 x 3.6 x 0.083 = 0.2988 / 100

The second month, (1 + 0.002988) * 3.6 * 0.083 = 0.299692814 / 100

The third month, (1.002988 + 0.00299692814) x 3.6 x 0.083 = 0.300588297/100

Given the initial amount be 1, those would be the periodic interest rate during the first three months.

5 0

3 years ago

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

tatyana61 [14]

Answer: $\large\boxed{\text{No Solution}}$

Step-by-step explanation:

<u>Given equation</u>

$\sqrt{t+1}+9=7$

<u>Subtract 9 on both sides</u>

$\sqrt{t+1}+9-9=7-9$

$\sqrt{t+1}=-2$

<u>Conclusion</u>

$\text{Since radical values are always positive, it is false that }\sqrt{t+1}\text{ will equal to -2}$

$\text{Therefore, it is }{\large\boxed{\text{No Solution}}}\text{ in the context of real numbers}$

Hope this helps!! :)

Please let me know if you have any questions

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1 year ago

How do I solve this question?

Montano1993 [528]

Answer:

p = $\frac{3}{2}$ , q = 9

Step-by-step explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2( $\frac{3}{2}$ )x + $\frac{9}{4}$ - $\frac{9}{4}$ )

= 4(x + $\frac{3}{2}$ )² - 4 × $\frac{9}{4}$

= 4(x + $\frac{3}{2}$ )² - 9

4 0

2 years ago