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3 years ago

Dan pays £714.73 a year on his car insurance

Mathematics

1 answer:

LenaWriter [7]3 years ago

5 0

Answer:

The Current Insurance cost = $685.43

Step-by-step explanation:

Given that Dan pays £714.73 a year on his car insurance.

Reduced Percentage = 4.1%

Reduced Amount = 4.1% × 714.73

= [4.1 / 100] × [714.73]

= 0.041 × 714.73

= $29.30

The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.

Current Insurance cost = 714.73 - 29.30

= $685.43

Therefore, the Current Insurance cost = $685.43

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A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x

Pavlova-9 [17]

Since <em>x</em> is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2. Now we use that in our function, $y=55*2^x$ .

$y=55*2^2=55*4=220$
There will be 220 foxes after 28 years.

6 0

3 years ago

Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2

ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is (x - h)² = 4p(y - k), where

The vertex of the parabola is (h , k)
The focus is (h , k + p)
The directrix is at y = k - p

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

∴ k + p = 3 ⇒ (1)

∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ $\frac{1}{12}$ (x - 5)² = y

- Switch the two sides

∴ y = $\frac{1}{12}$ (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = $\frac{1}{12}$ (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

#LearnwithBrainly

8 0

4 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

I need help with this one also don’t put a link

Nadya [2.5K]

Answer: 306 cm^2

Step-by-step explanation:

Surface is found by add all the areas of the sides together, including sides, top and bottom. You might need to divide the 3D shape into different shapes in order to find the area of the sides/top/bottoms. Area for rectangle = bxh.

8 0

3 years ago

A fishing tackle box is 13 inches long, 6 inches wide, and two and one half inches high. What is the volume of the tackle box

weqwewe [10]

Answer:

$195^{3}$ inches

Step-by-step explanation:

13*6*2.5

7 0

3 years ago