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natita [175]
3 years ago
7

Sonia has a 5.8% fixed rate 20-year mortgage in the amount of $275,000. The total cost of principal and interest is about $465,2

62. Which of the following is closest to Sonia's monthly payment?
Mathematics
1 answer:
stiv31 [10]3 years ago
8 0
$465,262 / 240 (12 x 20) = 1983.5 = $1,939 


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The sum of two numbers is eleven. one number is seven less than the other. find the numbers
Pavlova-9 [17]

Answer:

9 & 2.

Step-by-step explanation:

let x represent the unknown numbers.

x + x-7 = 11

2x = 11+7

2x = 18.

divide both sides by 2.

x = 9.

x-7 = 9-7 = 2

7 0
3 years ago
A student wants to buy a new cell phone. Teen-Mobile charges $15 a month plus $10 for every one gigabyte of data used. Bruh-rizo
Reika [66]

Answer:

Let's define T(x) as the cost with the company Teen-Mobile, where x is the number of gigabytes used.

We have a constant fee of $15 plus extra $10 for each gigabyte used, then:

T(x) = $15 + $10*x

Let's define B(x), same as above, but for the company Bruh-rizon.

Here we have a constant of $30 plus $7 for each gigabyte used.

B(x) = $30 + $7*x

Where in each equation, the growth rate is the coefficient multiplicating the x (also called the slope) , and the other factor is the starting value (also called the y-intercept).

Now knowing the number of gigas that you use in a month, can decide which option is best for you.

5 0
3 years ago
Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours
Anna35 [415]
First we need to find the median of the data given. To do that, it should be in order:
12, 15, 18, 20, 23, 23, 28
So the median is 20

The only way to guarantee that the median doesn't change would be for the eight hour to have 20 visitors so the new data would be:
12, 15, 18, 20, 20, 23, 23, 28

Hope this helps!
3 0
3 years ago
Read 2 more answers
A swimming pool whose volume is 10 comma 000 gal contains water that is 0.03​% chlorine. Starting at tequals​0, city water conta
Katarina [22]

Answer:

C(60) = 2.7*10⁻⁴

t = 1870.72 s

Step-by-step explanation:

Let x(t) be the amount of chlorine in the pool at time t. Then the concentration of chlorine is  

C(t) = 3*10⁻⁴*x(t).

The input rate is 6*(0.001/100) = 6*10⁻⁵.

The output rate is 6*C(t) = 6*(3*10⁻⁴*x(t)) = 18*10⁻⁴*x(t)

The initial condition is x(0) = C(0)*10⁴/3 = (0.03/100)*10⁴/3 = 1.

The problem is to find C(60) in percents and to find t such that 3*10⁻⁴*x(t) = 0.002/100.  

Remember, 1 h = 60 minutes. The initial value problem is  

dx/dt= 6*10⁻⁵ - 18*10⁻⁴x =  - 6* 10⁻⁴*(3x - 10⁻¹)               x(0) = 1.

The equation is separable. It can be rewritten as dx/(3x - 10⁻¹) = -6*10⁻⁴dt.

The integration of both sides gives us  

Ln |3x - 0.1| / 3 = -6*10⁻⁴*t + C    or    |3x - 0.1| = e∧(3C)*e∧(-18*10⁻⁴t).  

Therefore, 3x - 0.1 = C₁*e∧(-18*10⁻⁴t).

Plug in the initial condition t = 0, x = 1 to obtain C₁ = 2.9.

Thus the solution to the IVP is

x(t) = (1/3)(2.9*e∧(-18*10⁻⁴t)+0.1)

then  

C(t) = 3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴t)+0.1)

If  t = 60

We have

C(60) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴*60)+0.1) = 2.7*10⁻⁴

Now, we obtain t such that 3*10⁻⁴*x(t) = 2*10⁻⁵

3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 2*10⁻⁵

t = 1870.72 s

7 0
3 years ago
Which is closer to 7?
Anna [14]

Answer:

A. 5.3

Step-by-step explanation:

While both of these numbers are close to 7, 5.3 is the closest and we can find this out with subtraction. So, 9.9 - 7 = 2.9, but 7 - 5.3 = 1.7. Which one can we determine is closer? Well, 2.9 > 1.7, so our answer must be A. 5.3!

Have a nice day and I hope this helped!

8 0
3 years ago
Read 2 more answers
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