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2 years ago

7

A band will sell CDs of their music at their concert for $5.00 each. The band ordered 300 CDs at a cost of $1.25 each. Which ine

quality represents the number of CDs, n, the band needs to sell to make a profit of at least $500?

1 answer:

sp2606 [1]2 years ago

4 0

They will make 3.75 off of each cd, so divide and multiply and do all the math your brain can do. You got this.

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

4 0

2 years ago

Read 2 more answers

HELP PLEASEEE!!

Luden [163]

$\left[\begin{array}{ccc}2&6&3\\-5&1&4\end{array}\right]$

R1 ÷ 2 = $\left[\begin{array}{ccc}1&3&1.5\\-5&1&4\end{array}\right]$

R2 ÷ -5 = $\left[\begin{array}{ccc}1&3&1.5\\1&-0.2&-0.8\end{array}\right]$

R2: R1 - R2 = $\left[\begin{array}{ccc}1&3&1.5\\0&3.2&2.3\end{array}\right]$

R2 ÷ 3.2 = $\left[\begin{array}{ccc}1&3&1.5\\0&1&0.71875\end{array}\right]$

R1: R1 - 3R2 = $\left[\begin{array}{ccc}1&0&0.65625\\0&1&0.71875\end{array}\right]$

Answer: x = 0.65625, y = 0.71875

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2 years ago

In a national survey of 1987 adults, 1570 responded that lack of respect and courtesy in American society is a serious problem,

Alik [6]

<h2>Answer with explanation:</h2>

As per given , we have

$H_0: p\leq\dfrac{3}{4}\\\\H_a: p>\dfrac{3}{4}$

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem : $p=\dfrac{1257}{1987}\approx 0.6326$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{ 0.6326-0.75}{\sqrt{\dfrac{0.75(1-0.75)}{1987}}}=-12.09$

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.

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3 years ago

What is the value of 16 - 3k + 5 when k = 4?

DENIUS [597]

Answer:

9

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

9

The answer is 9.

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2 years ago

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What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15<br> step by step please!

mash [69]

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2) - 5 = 4 - 5 = - 1

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

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1 year ago