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PilotLPTM [1.2K]

3 years ago

14

If 7 times a number is decreased by 5 and this difference is doubled the result is 14 less than twice the number. What is the nu

mber

1 answer:

andrey2020 [161]3 years ago

6 0

2(7n-5)=2n-14

14n-10=2n-14

12n=-4

n=-1/3

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7400 dollars is placed in an account with an annual interest

Anastasy [175]

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

$x^y=z\\log_xz=y$

which means that

$log_{1.06}2.594=n$

Solve and get

16.362

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2 years ago

1. Elissa is buying a new car. She has an excellent credit score of

k0ka [10]

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

$\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}$

where:

PMT = monthly payment
P = loan amount
i = interest rate per month (in decimal form)
n = term of the loan (in months)

Given:

P = $19,500 - $4,000 = $15,500
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n = 5 years = 60 months

$\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}$

$\implies \sf PMT=273.3788438$

$\implies \sf PMT=\$273.38$

7 0

1 year ago

Find the domain for each expression. (1/x)+5<br> 1/x<br> X+5/x+5<br> X^2/x<br> 7/(x-2)

wel

Using it's concept, it is found that the domain for the expressions is, respectively, given by:

$x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2$

<h3>What is the domain of a function?</h3>

It is the <u>set that contains all possible input values</u>.

In a fraction, the denominator cannot be zero, hence:

The domain of the first two expressions is of $x \neq 0$ .

The domain of the last expression is of $x \neq 2$ .

The third expression can be simplified, as:

(x + 5)/(x + 5) = 1.

The same is true for the fourth, as:

x²/x = 1.

Neither has any restriction, hence their domain is all real numbers, represented by $(-\infty, \infty)$ .

More can be learned about the domain of a function at brainly.com/question/25897115

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2 years ago

What is the range of the data set? <br><br> 61<br> 40<br> 41<br> 55

antoniya [11.8K]

Answer:

40

Step-by-step explanation:

The range is the difference between the largest value and the smallest value in the data set.

minimum value = 21 and maximum value = 61

range = 61 - 21 = 40

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Anika [276]

<span>this is the answer = "center center" I hope this help.. </span>

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