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4 years ago

Please help me with this math problem

Mathematics

1 answer:

goldfiish [28.3K]4 years ago

3 0

If you look at the graph you can tell the graph is increasing before x = -2.

From x = -2 to x = 0, it's decreasing.

Then it's increasing again from x = 0 to x = 2, then decreasing after x = 2

So answer is the last one
It is increasing before x = -2 and from x = 0 to x = 2

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers

A company's revenue from selling x units of an item is given as R=1700x-2x^2 . If sales are increasing at the rate of 25 units p

viva [34]

Answer:

The daily rate is: 17500 units per day

Step-by-step explanation:

Given

$R = 1700x - 2x^2$

$\frac{dx}{dt} = 25$

Required

Find $\frac{dR}{dt}$ when $x = 250$

We have:

$R = 1700x - 2x^2$

Differentiate both sides with respect to time

$\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}$

Factorize

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

Substitute: $\frac{dx}{dt} = 25$ and $x = 250$

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

$\frac{dR}{dt} = (1700- 4*250)*25$

$\frac{dR}{dt} = (1700- 1000)*25$

$\frac{dR}{dt} = 700*25$

$\frac{dR}{dt} = 17500$

5 0

3 years ago

8+35/w=15 a.8 b.6 c.10 d.5

RoseWind [281]

Answer:

$\boxed{ \bold{ \huge{ \bold{w = 5}}}}$

Option D is the correct option

Step-by-step explanation:

$\sf{8 + \frac{35}{w} = 15}$

⇒ $\sf{ \frac{8 \times w + 35}{w} = 15}$ { w ÷ 1 = w , So, I wrote 8 × w }

⇒ $\sf{ \frac{8w + 35}{w} = 15}$

Apply cross product property

⇒ $\sf{8w + 35 = 15w}$

Move 15w to left hand side and change it's sign

Similarly, Move 35 to right hand side and change it's sign

⇒ $\sf{8w - 15w = - 35}$

Collect like terms

⇒ $\sf{ - 7 w = - 35 }$

Divide both sides of the equation by -7

⇒ $\sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }$

Calculate

⇒ $\sf{w = 5}$

Hope I helped!

Best regards!!

3 0

4 years ago

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Solve the equation. –18 + 3x = –6 –2 –8 –18 4

-Dominant- [34]

Its 4 hope this helped

5 0

3 years ago

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If a number n has exactly 7 divisors, how many divisors does n squared have?

Anna [14]

A number $n=p_1^{a_1}\cdot p_2^{a_2}\cdot\ldots\cdot p_k^{a_k}$ , where $p_k$ are distinct prime numbers, has $(a_1+1)(a_2+1)\cdot\ldots\cdot(a_k+1)$ divisors.

We know that $n$ has 7 divisors. 7 is a prime number, so among the numbers $a_1+1,a_2+1,\ldots,a_k+1$ there is only one that is equal to 7.

So,
$a_k+1=7\\
a_k=6$

That means $n=p^6$ where $p$ is a prime number.
$n^2=(p^6)^2=p^{12}$ , therefore the $n^2$ has $12+1=13$ divisors.

4 0

3 years ago