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coldgirl [10]
3 years ago
13

Sophia's credit has an APR of 20.87 % and it just changed its compounding. From monthly to daily what will happen to the effecti

ve interest rate charged to Sophia
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

It will increase by 0.2%.

Step-by-step explanation:

In this problem we need to solve for the monthly interest first.

We use the formula:

r = (1+\dfrac{i}{n})^{n}-1

Now that we have the formula we now define our variables.

i = 20.87% or 0.2087

n = 12

r=(1+\dfrac{0.2087}{12})^{12} - 1

r=(1+\dfrac{0.2087}{12})^{12}-1

r=(1+\dfrac{0.0174})^{12}-1

r=(1.0174})^{12}-1

r= 1.2299-1

r= 0.2299 or 23%

Now we have to find the daily interest rate.

r=(1+\dfrac{0.2087}{365})^{365}-1

r=(1+\dfrac{0.2087}{365})^{365}-1

r=(1+0.00057178082)^{365}-1

r=(1.00057178082)^{365}-1

r= 1.2320-1

r= 0.2320 or 23.20%

23.20% - 23% = 0.20% increase.

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Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0
3 years ago
Please Help. Thank you
jeyben [28]
The answer is D. A translation does not change a figure's size or shape because each of its points are moved the same amount and in the same direction(s).
8 0
3 years ago
A lab technician cuts a 15 in piece of glass tubing into two pieces. One piece is 7 in longer than the other. How long are the​
zysi [14]

Answer:

2.1 in

Step-by-step explanation:

I only wrote the expression 7n = 15. Then figured it out from there. I ended up with n = 2.1

I'm sorry if this doesn't help. I tried my best to solve it. Hope this leads you to the right answer ^^

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2 years ago
Quadrilateral LMNO is a rectangle. Find MN.
Cloud [144]
(4x-1)=(5x-8)
x=7

4(7)-1= 27

5(7)-8= 27

So the answer is 27

<span>MN = 27</span>

3 0
3 years ago
Read 2 more answers
Can someone pleaseeee answer these.its urgent
anzhelika [568]

Answer:

1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.

2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.

Step-by-step explanation:

1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.

2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)

Hopefully this helps, and hopefully it isn't too confusing.

3 0
3 years ago
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