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Artist 52 [7]
3 years ago
10

What is the value of the dependent variable if the value of the independent variable is –4?

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0
If you would like to know the value of the dependent variable if the value of the independent variable is - 4, you can calculate this using the following steps:

independent variable ... - 4 ... x
dependent variable ... f(x)

<span>f(x)= -3x^2 + 5x
</span>f(-4) = -3 * (-4)^2 + 5 * (-4) = -3 * 16 - 20 = -48 - 20 = - 68

The correct result would be C. <span>–68.</span>
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50 points! Please help me
Inga [223]

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

6 0
3 years ago
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the
beks73 [17]
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t}  }
where
m is the monthly payment
P is the amount
r is the interest rate in decimal form 
t is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
\frac{4}{100} =0.04
We also know from our question that P=224500 and t=30, so lets replace those values into our formula to find the monthly payment:
m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)}  }
m=1071.80

We can conclude that the monthly payment during the initial period is $1071.58<span />
7 0
3 years ago
Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)
Artemon [7]

The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

So, we can make the equation y=2x+b. We need to find b, and put b in.

To find b, put in the numbers of y and x.

10=2(-1)+b

Solve for b:

10=-2+b\\b=10+2\\b=12

Now replace b in the original equation with 12 and that will be the answer:

The answer is y=2x+12.

5 0
3 years ago
The organizer of a conference is selecting workshops to include. She will select from 4 workshops about genetics and 7 workshops
kirza4 [7]
What can u explain this in a different way cuz what does this mean
4 0
3 years ago
Write the computer program for;urgent​
AlladinOne [14]

ANSWER:

#include <stdio.h>

#define PAYRATE 10 //basic pay rate per hour

#define OVERTIME 15 //in excess of 40 hours a week

int NetPay(int hours);

int main()

{

int userWeeklyHours;

printf("Please enter your total weekly working hours: \n");

scanf("%d", &userWeeklyHours);// get the user weekly hours

NetPay(userWeeklyHours);

return 0;

}

int NetPay(int hours)// implementing the function to calculate total pay, total taxes, and net pay

{

int firstRate, secondRate, restOfRate, secondAmount, rest, payAfterTax, payedBeforeTax, overHours;

if (hours > 40)

{

overHours = hours - 40;

payedBeforeTax = (40 * PAYRATE) + (overHours * OVERTIME);

}

else

payedBeforeTax = hours * PAYRATE;//defining the user first paycheck before taxes

if (payedBeforeTax <= 300)//paying only first rate case

{

firstRate = payedBeforeTax*0.15;

payAfterTax =payedBeforeTax - firstRate;

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate, payAfterTax);

}

else if (payedBeforeTax > 300 && payedBeforeTax <= 450)//paying first and second rate

{

secondAmount = payedBeforeTax - 300;

firstRate = (payedBeforeTax - secondAmount) * 0.15;

secondRate = secondAmount * 0.20;

payAfterTax = payedBeforeTax - (firstRate + secondRate);

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate + secondRate, payAfterTax);

}

else if (payedBeforeTax > 450)// paying all rates

{

rest = payedBeforeTax - 450;

secondAmount = (payedBeforeTax - 300) - rest;

firstRate = (payedBeforeTax - (rest + secondAmount)) * 0.15;

secondRate = secondAmount * 0.20;

restOfRate = rest * 0.25;

payAfterTax = payedBeforeTax - (firstRate + secondRate + restOfRate);

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate + secondRate + restOfRate, payAfterTax);

}

return payAfterTax;

}

8 0
3 years ago
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