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3 years ago

Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?

Mathematics

2 answers:

IrinaVladis [17]3 years ago

4 0

Answer:

The correct answer is c. The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.

Step-by-step explanation:

The formula of interest is A=P (1+r)ⁿ

A=Final amount

P= Principal ( deposit)

r= interest rate

n= time

As we can see, interest rate will be added to the final amount. If the interest rate is higher , higher will be the amount. So, it is an important issue when you are evaluating a loan.

lesantik [10]3 years ago

3 0

I think c because it is right i think

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7(8+x+2) equals what exactly i dont know

Nataly [62]

Answer:

70 + 7x

Step-by-step explanation:

7(8+x+2)

Combine like terms in the parenthesis

7(8+2+x)

7(10+x)

Distribute

70 + 7x

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3 years ago

Read 2 more answers

From measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert the area into squa

NemiM [27]

So the problem ask to find and convert the area into square meters. So to convert is you must do the cross multiplication process that could cancel out unit and made the answer into a square meter, so the answer would be 1. x10^-12m^2. I hope you are satisfied with my answer and feel free to ask for more

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3 years ago

Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the

8_murik_8 [283]

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

7 0

3 years ago

When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m

Lynna [10]

Answer:

$5,850

Step-by-step explanation:

4.5% = 0.045

0.045 x 130,000 = 5850

3 0

3 years ago

Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^

Gemiola [76]

Answer:

$\rm \displaystyle y' = 2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x}$

Step-by-step explanation:

we would like to figure out the differential coefficient of $e^{2x}(1+\ln(x))$

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

$\displaystyle y = {e}^{2x} \cdot (1 + \ln(x) )$

to do so distribute:

$\displaystyle y = {e}^{2x} + \ln(x) \cdot {e}^{2x}$

take derivative in both sides which yields:

$\displaystyle y' = \frac{d}{dx} ( {e}^{2x} + \ln(x) \cdot {e}^{2x} )$

by sum derivation rule we acquire:

$\rm \displaystyle y' = \frac{d}{dx} {e}^{2x} + \frac{d}{dx} \ln(x) \cdot {e}^{2x}$

Part-A: differentiating $e^{2x}$

$\displaystyle \frac{d}{dx} {e}^{2x}$

the rule of composite function derivation is given by:

$\rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dg} f(g(x)) \times \frac{d}{dx} g(x)$

so let g(x) [2x] be u and transform it:

$\displaystyle \frac{d}{du} {e}^{u} \cdot \frac{d}{dx} 2x$

differentiate:

$\displaystyle {e}^{u} \cdot 2$

substitute back:

$\displaystyle \boxed{2{e}^{2x} }$

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

$\displaystyle \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)$

let

$f(x) \implies \ln(x)$
$g(x) \implies {e}^{2x}$

substitute

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \frac{d}{dx}( \ln(x) ) {e}^{2x} + \ln(x) \frac{d}{dx} {e}^{2x}$

differentiate:

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \boxed{\frac{1}{x} {e}^{2x} + 2\ln(x) {e}^{2x} }$

Final part:

substitute what we got:

$\rm \displaystyle y' = \boxed{2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x} }$

and we're done!

6 0

3 years ago