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Shkiper50 [21]
3 years ago
8

You wish to accumulate $14,580 in 6 years. Payments are made at the end of every six-month period into an account earning 7.2% c

ompounded semi-annually. Find the required payment amount to accomplish your goal.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
Equation required for this question:

an • 1.072^n = 14,580

Where a = payment every half year and n = number of half years

There are 12 half years in 6 years.

Therefore n = 12, substitute this.

12a • 1.072^12 = 14,580

12a = 14,580 / 1.072^12

12a = 6,330~

a = 527.5 ~
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The cake density is 0.454 ounce per cubic inch and the fair price is $0.20 per ounce. What should be a fair price for each cake?
aleksklad [387]

Answer:

price = x * 0.2

or

price = x * 0.454 * 0.2

Step-by-step explanation:

In this case we must know either the mass of the cake or its volume.

Given the case that we know the mass of the cake, it would be:

price = x * 0.2

where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:

price = 10 * 0.2 = 2

which means that each cake costs $ 2

Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.

price = x * 0.454 * 0.2

where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:

price = 10 * 0.454 * 0.2 = 0.908

which means that each cake costs $ 0.9

5 0
3 years ago
Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex
siniylev [52]

Answer:

\large \boxed{\sf \ \ \ p=-11 \ \ \ }

Step-by-step explanation:

Hello,

\alpha \text{ and } \beta \text{ are the roots of the following equation}

   2x^2+6x-7=p

It means that

   2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\

And we know that

\alpha= 2\cdot \beta

So we got two equations

   2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1

For \beta =0, \ \ \alpha =0, \ \ p = -7

For \beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11

I assume that we are after two different roots so the solution for p is p=-11

b) \alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1

So a quadratic equation with the expected roots  is

x(x-1)=x^2-x

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Subtract three-forths from 2 times p
Savatey [412]

Answer:

Hi there!

Your answer is:

2p - 3/4

Hope this helps!

5 0
3 years ago
X = 2y - 4<br> 7x + 5y = -66
madreJ [45]

Answer:

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49
Iteru [2.4K]

Answer:

1. Median refers to the central value of a collection of data

Therefore it is 73.4

2. Mode refers to the frequency of a value in a collection of data

It will be 49 as it is repeated 2 times

3. Range refers to The greatest number subtracted from the smallest number

Which will be 90-49=41

Hope this helps dude!

Please mark me as brainliest

7 0
3 years ago
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