Express the number of inches n (d) as a function of the number of yards d

Answers

Answer 1

Answer: An= a1+(r-1)d
Is the formula for an arithmetic function involving D

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Identify the variation as direct, inverse, joint or combined.s=c/t^3
direct
inverse
joint
combined

Answers

Answer:

Inverse

Step-by-step explanation:

Assuming that c is a constant (the constant of proportion), s = c / (t^3) is a case of inverse variation: As t increases, s decreases.

Hope this helps <3

What is pythagoras triplets?

Answers

A pythagoras triplet is a set of three numbers ... not just any three numbers,
but a set where the (square of one of them) is the sum of the (squares of the
other two).

If they're related in that way, then they can be the lengths of the sides of a
right triangle.

If they're not, then they can't.

Which statements about the system are true? Check all that apply. y = x – 4
3y – x = –7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y–intercept.
The equations represent the same line.
The lines intersect.

Answers

Answer:

The correct answers are:

The system has one solution.

The lines intersect.

Step-by-step explanation:

We are given system of linear equations as:

y=x-4--------(1)

and 3 y-x= -7----------(2)

on substituting the value of 'y' from equation (1) into equation (2) we have:

3(x-4)-x=-7

⇒ 3x-3×4-x=-7

⇒ 3x-x= -7+12

⇒ 2x=5

⇒ $x=(5)/(2)$

also putting the value of x into equation (1) we have:

$y=(5)/(2)-4=(5-8)/(2)=(-3)/(2)$

Hence, we get a unique value of x and y on solving the system of linear equations.

Hence, the system has one solution.

the slope for line y=x-4 is 1 ( since on comparing the equation with y=mx+c; where m denotes the slope of line and c is the y-intercept)

y-intercept is -4

but the slope of line 3y-x = -7 i.e.

$y=(x-7)/(3)=(x)/(3)-(7)/(3)$

hence the slope of second line is: $(1)/(3)$ .

and y-intercept is $(-7)/(3)$ .

They represent different lines.

the lines intersect at the point $((5)/(2),(-3)/(2))$

Answer and explanation:

Given : Equations $y=x-4$ and $3y-x=-7$

To find : Which statements about the system are true? Check all that apply.

Solution :

First we solve the system of equations,

$y=x-4$ .....(1)

$3y-x=-7$ ......(2)

Substitute y from (1) in (2),

$3(x-4)-x=-7$

$3x-12-x=-7$

$2x=5$

$x=(5)/(2)$

Substitute the value of x in (1),

$y=(5)/(2)-4$

$y=(5-8)/(2)$

$y=(-3)/(2)$

1) The system has one solution i.e. $((5)/(2),-(3)/(2))$

2) The system has solution which means it is not parallel lines.

Writing equation in slope from, $y=mx+c$

$y=x-4$ where m=1 and c=-4

$3y-x=-7$ where $m=(1)/(3)$ and c=-4

3) Both lines have different slopes.

4) Both lines have the same y-intercept.

5) The equations represent the different lines.

6) The lines intersect at $((5)/(2),-(3)/(2))$

Craig is considering four loans. Loan L has a nominal rate of 8.254%, compounded daily. Loan M has a nominal rate of 8.474%, compounded weekly. Loan N has a nominal rate of 8.533%, compounded monthly. Loan O has a nominal rate of 8.604%, compounded yearly. Which of these loans will offer Craig the best effective interest rate?

Answers

Loan L that has a nominal rate of $8.254\%$ , compounded daily offer Craig the best effective interest rate.

Further explanation:

Given:

The options are as follows,

(a). Loan L has a nominal rate of $8.254\%$ , compounded daily.

(b). Loan M has a nominal rate of $8.474\%$ , compounded weekly.

(c). Loan N has a nominal rate of $8.533\%$ , compounded monthly.

(d). Loan O has a nominal rate of $8.604\%$ , compounded yearly.

Explanation:

The compound interest rate formula can be expressed as follows,

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

Here, A represents the amount, P represents the principal amount, r represents the interest rate n represents the number of times interest rate compounded and t represents the time.

Consider the amount as $\$100$ for 2 years.

The amount after year if the interest rate is $8.254\%$ , compounded daily can be calculated as follows,

$\begin{aligned}{\text{A}} &= 100{\left( {1 + \frac{{0.08254}}{{365}}} \right)^(2 * 365)} \n&= \$ 117.95 \n\end{aligned}$

The amount after year if the interest rate is $8.474\%$ , compounded weekly can be calculated as follows,

$\begin{aligned}{\text{A}} &= 100{\left( {1 + \frac{{0.08474}}{{52}}} \right)^(2 * 52)}\n&= \$ 118.45 \n\end{aligned}$

The amount after year if the interest rate is $8.533\%,$ compounded monthly can be calculated as follows,

$\begin{aligned}{\text{A}} &= 100{\left( {1 + \frac{{0.08533}}{{12}}} \right)^(2 * 12)}\n&= \$ 118.54\n\end{aligned}$

The amount after year if the interest rate is $8.254\%$ , compounded daily can be calculated as follows,

$\begin{aligned}{\text{A}} &= 100{\left( {1 + \frac{{0.08604}}{1}} \right)^(2 * 1)} \n&= \$ 117.95\n\end{aligned}$

Loan L that has a nominal rate of $8.254\%$ , compounded daily offer Craig the best effective interest rate.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Simple interest

Keywords: Craig, four loans, loan L, loan M, loan N, loan O, nominal rate, compounded daily, effective rate, compounded monthly, compounded weekly, compounded yearly, interest rate, Principal, invested, interest rate, account, effective interest rate, total interest, amount.

In order for you to be able to determine on which is the best effective interest rate, we need to compute each interest and see on how much would it accrue after it matures. The formula to use is the compound interest formula which is A=P(1+r/n)^nt, wherein A is the amount of due including the interest, P as the principal, r as the interest rate, n as the number of times it would be compounded per year and t as the number of years it would be loaned. To reassign the formula with each given interest rate, and assuming that the amount to be loaned would be 1,000 and the number of years it would be loaned will be 5 years, the amount due after 5 years for the 8.254% compounded daily will be 1,510.82, for the 8.474% compounded weekly will be 1,527.03, for the 8.533% compounded monthly will be 1,529.80, for the 8.604% compounded yearly will be 1,510.88. The best effective interest rate offer would be the 8.254% compounded daily.

Solve for a.a+(−7)=−17

What is the answer?

a=−24

a=−10

a = 10

a = 24

Answers

a + (-7) is the same as a - 7, so you could rewrite it as
a - 7 = -17
+ 7
a = -10
So your answer is a = -10, I hope this helps!

Answer:

-10

Step-by-step explanation:

just took the test

Determine whether it is possible to form a triangle using each set of segments with the given measurements.7.4 centimeters, 8.1 centimeters, 9.8 centimeters
Yes or No.

Answers

Are we talking about edges or the physical sides of the triangle?

If edges (corners / angles of the triangle), then no, because it doesn’t add up to 180. I don’t think the measurements of the sides matter, tho.

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Water coming out from a fountain is modeled by the function f(x)= -x^2+5x+4 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x=3 to x=5 represent?A. The water falls down with an average speed of 3 ft./s from three seconds to five seconds. B. The water falls down with an average speed of 5 ft./s from three seconds to five seconds. C. The water travels an average distance of 3 feet from 3 seconds to 5 seconds. D. The water travels an average distance of 5 feet from 3 seconds to 5 seconds.

The difference of two numbers is 12. the larger number is one less than twice the smaller number. find the two numbers.

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