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4 years ago

What is the product? 5/10x10/3

Mathematics

2 answers:

BabaBlast [244]4 years ago

4 0

Answer:

The answer to 5/10 x 10/3 = 5/3

5/3

Step-by-step explanation:

First, multiply the numerators with the denominators. That would be...

5/10 x 10/3 = 5x10 over 10x3

That would equal 50/30

Simplify that, and you would get 5/3

liubo4ka [24]4 years ago

3 0

The answer is 50/30 but when you simplify it, the answer is 5/3.

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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

Which expression both gives the average rate of change of the function h(x)

liubo4ka [24]

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval a ≤ x ≤ b is found by:

$\frac{f(b)-f(a)}{b-a}$

Here, a is 0 and b is 3, so: $\frac{f(3)-f(0)}{3-0}=\frac{f(3)-f(0)}{3}$

Just plug in 3 for the first term and 0 for the second term in the numerator:

- First term: $\frac{1}{2} (3^{3+\frac{1}{2} })+3=\frac{1}{2} (3^{3\frac{1}{2} })+3$

- Second term: $\frac{1}{2} (3^{0+\frac{1}{2} })+3=\frac{1}{2} (3^{\frac{1}{2} })+3$

So, the final answer is:

$\frac{[\frac{1}{2} (3^{3\frac{1}{2} })+3]-[\frac{1}{2} (3^{\frac{1}{2} })+3]}{3}$

Thus, the answer is D.

Hope this helps!

5 0

3 years ago

What is the sum of the interior angles of a 16-sided polygon

Lynna [10]

The answer is 2520 degrees

8 0

4 years ago

GEOMETRY HELP! SIMILAR TRIANGLE!

mylen [45]

1) Yes
2)B. AA
3) The angles are congruent and both are right triangles.
4) 90
5) 60
6) 60
7) 90
9) 4

7 0

4 years ago

Someone help me please

gogolik [260]

x/5 = 6/15
15x = 30
x = 2

answer
x = 2 ft

y/10 = 6/15
15y = 60
y = 4

answer
y = 4 ft

3 0

3 years ago

Read 2 more answers