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2 years ago

Can someone pleaseeee help me :(

Mathematics

1 answer:

dexar [7]2 years ago

4 0

Answer: x-5 / x

Step-by-step explanation:

because…

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What is the decimal multiplier to increase by 5.3%?

rosijanka [135]

Answer:

0.053

Step-by-step explanation:

4 0

3 years ago

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Write y=-3(x-7)^2-8 in vertex form

Veronika [31]

It's in the verex form:

$f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex$

$y=-3(x-7)^2-8\\\\(7,\ -8)-vertex$

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3 years ago

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Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000

AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0

3 years ago

6 multiplication problems that ar involved in the solving of 325×89

gogolik [260]

325*89.1

Let's decompose this into:

325 = 300 + 25

89.1 = 80 + 9 + 0.1

Then we have the multiplication:

(300 + 25)*(80 + 9 + 0.1)

Let's distribute the multiplication:

300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1

So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.

Then the list of six multiplications involved in solving this problem are:

300*80 = 24,400

300*9 = 2,700

300*0.1 = 30

25*80 = 2,000

25*9 = 225

25*0.1 = 2.5

Now we add all of those and get:

325*89.1 = 24,400 + 2,700 + 30 + 2,000 + 225 + 2.5 = 28,957.5

4 0

3 years ago

Which does not describe the same situation y=3x+5

Naddika [18.5K]

Given the function. y = 3x + 5

For, x = -3; y = 3(-3) + 5 = -9 + 5 = -4
For x = 1; y = 3(1) + 5 = 3 + 5 = 8
For x = 4; y = 3(4) + 5 = 12 + 5 = 17

Thus the table representing the function is the table with: -3, 1 and 4 as x-values and -4, 8, 17 as y-values.

For x = 0; y = 3(0) + 5 = 0 + 5 = 5
For y = 0; 0 = 3x + 5; 3x = -5 and x = -5/3

Thus the graph of the function is a straight line passing through points (0, 5) and (-5/3, 0).

To illustrate the fuction as a word statement we say that y is five more than three times x

From the given descriptions, the graph does not represent the graph of y = 3x + 5.

Therefore, the one that does not describe the same situation is the graph.

3 0

3 years ago