All categories

3 years ago

Jane's basic insurance cost is $559.90 per year. Her insurance company offers a typical "safe-driver discount." What would be he

r rate if she went three years without an accident?

Mathematics

1 answer:

Travka [436]3 years ago

7 0

$559.90 - (559.9 \times 0.10) = 503.91$

You might be interested in

B) Which one of the following points lies on the line 2y = 5x - 3?

sergeinik [125]

Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.

A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.

C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.

D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.

E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

Therefore, the correct answer is Option D: (3, 6).

7 0

2 years ago

Please help extra points URGENT

arsen [322]

Answer: The correct answer is Choice D.

Step-by-step explanation: The correct answer is choice D.

Y = the total amount money that Kelly earned

X = the cost of each manicure

So, in choice D, the total amount that Kelly earned equals 12 times the cost of the manicure plus the 60 in tips that she received for the day.

7 0

3 years ago

You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che

Phantasy [73]

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, $w$ represents the week, $s$ represents the saving account and $c$ represents the checking account.

Balance in saving account in any week $=s=5w+25$

Balance in checking account in any week $=c=10w+50$

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find $w$ for $2s = c$ .

Putting the values, we have:

$2(5w+25)=10w+50$

$\Rightarrow \mathrm{True\:for\:all}\:w$

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

7 0

2 years ago

OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$