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2 years ago

Are the ratios 2:1 and 8:4 equivalent?

Mathematics

2 answers:

alukav5142 [94]2 years ago

6 0

$\huge\textbf{Hey there!}$

$\large\text{2 : 1}\\\\\large\text{= 2}\times\large\text{4 : }\large\text{1}\times\large\text{4}\\\\\large\text{= 8 : 4}$

$\large\textsf{8 : 4}\\\\\large\textsf{= 8}\div\large\textsf{4 : 4}\div\large\textsf{4}\\\\\large\textsf{= 2 : 1}$

$\large\textbf{Thus, 2:1 \& 8:4 ARE equivalent.}$

$\huge\textbf{Therefore, your answer is: \boxed{\mathsf{YES!}}}\huge\checkmark$

$\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}$

~ $\frak{Amphitrite1040:)}$

zhannawk [14.2K]2 years ago

3 0

Answer:

Yes

Step-by-step explanation:

Just like with fractions, 8:4 can be reduced to 2:1

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3 years ago

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Answer:

Step-by-step explanation:

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=160mph

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3 years ago

Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

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For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

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True
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