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kodGreya [7K]
3 years ago
11

Recall that an integer 'd' is said to be a divisor of an integer 'a', if 'a/d' is also an integer. For how many integers 'a' bet

ween -200 and -1 inclusive is the product of the divisors of a negative?
Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

The integers are -1,-2,-4,-5,-8,-10,-20,-25,-40,-50,-100,-200

Step-by-step explanation:

Step1. To get negative integers between -200 and -1, obtain the factors of -200,that is negative numbers that can divide -200 without a remainder. Whatever negative number that can divide -200 are the required integers.

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Answer please I will give brainiest to the one who answers first.
Lerok [7]

Answer:

  • $1,094,748.09
  • $8600.28
  • 11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

  A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

__

b1) The amortization formula is good for this.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the amount earning interest at annual rate r compounded n times per year for t years.

  A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

__

b2) The account balance after n months will be ...

  B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

  300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

  300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

  -1,806,191.02 = -1,011,442.93(1.00408333^n)

  1.785757 = 1.00408333^n

  n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0
3 years ago
What is the equation for shifting the standard sine curve 2 units horizontally?
ratelena [41]
     Just add the displacement value to variable. If this value is positive, the graph will move to the right, otherwise it will shift to left.

f(\O)=sen(\O+x)
 
     Where: x=displacement value

If you notice any mistake in my English, please let me know, because I am not native.
3 0
3 years ago
A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?
faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

n = 4

k = 3

_{n}P_{k}=\dfrac{4!}{(4-3)!}

_{n}P_{k}=\dfrac{4!}{1!}

_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}

_{n}P_{k}=\dfrac{4*3*2*1!}{1}

_{n}P_{k}=\dfrac{24}{1}

7 0
3 years ago
What is 3/16= c-7/8 please answer
Bingel [31]

Answer:

c=17/16

Step-by-step explanation:

3/16=c-7/8

find the common denominator

3/16=c-14/16

add 14/16 on both sides to cancel

c=17/16

7 0
3 years ago
Read 2 more answers
What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
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