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tamaranim1 [39]
3 years ago
12

Is 4/7 bigger or smaller than 3/5

Mathematics
2 answers:
crimeas [40]3 years ago
4 0

4/7=.57

3/5=.6

.6 is bigger than .57 so 4/7 is smaller than 3/5

blondinia [14]3 years ago
3 0
\frac{4}{7}=\frac{4 \times 5}{7 \times 5}=\frac{20}{35} \\&#10;\frac{3}{5}=\frac{3 \times 7}{5 \times 7}=\frac{21}{35} \\ \\&#10;\frac{20}{35} < \frac{21}{35} \\ &#10;\Downarrow \\&#10;\frac{4}{7} < \frac{3}{5}

4/7 is smaller than 3/5.
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Dave is considering two loans. Loan U has a nominal interest rate of 9. 97%, and Loan V has a nominal interest rate of 10. 16%.
Vsevolod [243]

Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

<h2>Effective Interest Rate;</h2>

The effective interest rate is determined by the formula;

= \left(1+\dfrac{r}{t} \right )^t

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

Then,

= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537

Therefore,

Loan V has a higher effective rate by,

=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%

Hence, Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

For more details about Interest rate refer to the link given below.

brainly.com/question/1398822

 

5 0
3 years ago
Evaluate the function and simplify.<br><br> f(x)=6x^2 -1/x^2<br><br> f(-x)=?
forsale [732]

Step-by-step explanation:

f(-xl= 6(-x)^2 - 1/(-x)^2

=6x^2- 1/x^2

f(x)= f(-x)

It is an even function

5 0
3 years ago
Find the value of 4x2 – 2y when x = 3 and y = 2.
Alina [70]

Answer:20

Step-by-step explanation:

4(3)2-2(2)

12(2)-4

24-4=20

6 0
3 years ago
three green socks, four red socks, and five blue socks are in a drawer, and 2 socks are withdrawn at random. Find the probabilit
andreyandreev [35.5K]

Step-by-step explanation:

Number of socks: 3+4+5= 12

Number of red socks= 4

Red socks/other socks= 4/12

Simplify: fraction: 1/3

percentage: 33.33%

decimal: 0.3333

4 0
2 years ago
An empty can weighs 30 grams. The weight of the same can filled with liquid is 47.3 grams. Which equation could be used to find
Alika [10]

Answer:

w = y - x is the equation to find w

Where,

w = Weight of the liquid

x = Weight of the empty can

y = Weight of the can with liquid

Step-by-step explanation:

Let

Weight of the empty can = x

Weight of the liquid = w

Weight of the can with liquid = x + w = y

x= 30 grams

w = ?

y= 47.3 grams

y = x + w

w = y - x

= 47.3 - 30

= 17.3

w= 17.3 grams

Therefore, the weight of the liquid is 17 .3 grams

3 0
3 years ago
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