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Lelu [443]
3 years ago
12

When dealing with a loan, who benefits from compounding interest more frequently, and why?

Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

Answer:

a.

The lender benefits, because the interest compounded increases further interest calculations.

Step-by-step explanation:

When dealing with a loan , the lender benefits from compounding interest more frequently. This is because the amount of interest compounded on the principle increases and this new amount further increases due to interest calculations.

nalin [4]3 years ago
4 0

right answer is a.  

The lender benefits, because the interest compounded increases further interest calculations.

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What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a perc
KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

n(S) = 2^{10} \\= 1024

Let A be the event that the tails appear 7 times:

Then,

C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\

Converting into percentage:

P(A) = 0.1171*100=11.7%

So, option C is correct ..

6 0
3 years ago
Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at the
tiny-mole [99]
The missing digit is number 3. The total amount should be $132

I multiplied 11 by the numbers 10 and above to get the possible three digit answer who has 1 as the first digit and 2 as the last digit.

11 x 10 = 110
11 x 11 = 121
11 x 12 = 132

The 11 members of the Middle School Math club each paid $12 for a guest speaker.
7 0
2 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
(10×2+99×-2)÷(×+10)=
hammer [34]

the answer is: -178/x+10

5 0
3 years ago
Read 2 more answers
The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system. m1 = 4, m2 = 3, m3
viva [34]

Answer:

M_x= 8

M_y = 6

Therefore the co-ordinate of the center of mass is = (\frac{4}{5},\frac{3}{5})

Step-by-step explanation:

Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.

Center of mass of a triangle is the centriod of a triangle.

Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)

M_x = ∑(mass × x-co-ordinate)

M_y = ∑(mass × y-co-ordinate)

Therefore  

M_x = (4×2)+{3×(-3)}+(3×3)

     =8

M_y = {4×(-3)}+{3×1}+(3×5)

    =6

The x co-ordinate of the center of mass is the ratio of M_x to the total mass.

The y co-ordinate of the center of mass is the ratio of M_y to the total mass.

Total mass (m) = m₁+ m₂+ m₃

                        = 4+3+3

                        =10

The x co-ordinate of the center of mass is \frac {8}{10} = \frac {4}{5}

The y co-ordinate of the center of mass is \frac{6}{10}=\frac{3}{5}

Therefore the co-ordinate of the center of mass is = (\frac{4}{5},\frac{3}{5})

4 0
3 years ago
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