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MakcuM [25]
2 years ago
6

An investment fund starts at $0 and grows at a rate of $100 per month. Another fund starts at $4000 and reduces by $720 per year

. After how long will the funds have the same amount of money?
Mathematics
1 answer:
Pie2 years ago
6 0

Answer:  2 years 1 month

Step-by-step explanation:

2 years 1 month at $100 a month = $2,500

$720 x 2 years = $1,440

$720 / 12 months = $60

$1,440 + $60 = $1,500

$4,000 - $1,500 = $2,500

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The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x
DaniilM [7]
We have the following equation:
 x2 + y2 + 42x + 38y - 47 = 0
 We rewrite the equation:
 x2 + 42x + y2 + 38y - 47 = 0
 x2 + 42x + y2 + 38y = 47
 Rewriting we have:
 x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
 x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
 Rewriting we have:
 (x + 21) ^ 2 + (y + 19) ^ 2 = 849
 The center of the circle is:
 (x, y) = (-21, -19)
 The radio is:
 r = root (849)
 r = (849) ^ 2

 A circle of the same radius is given by:
 x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
 Let's check:
 x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
 x ^ 2 - 50x + y ^ 2 - 30y = - 1
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
 (x-25) ^ 2 + (y-15) ^ 2 = 849
 Answer:
 
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
 
(x, y) = (-21, -19)
 
r = (849) ^ 2
 
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
5 0
2 years ago
Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.
dem82 [27]

Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

6 0
2 years ago
Monica found the volume of the prism below using the expression 4 + (4 times one-half). A prism has a length of 2 centimeters, h
Sphinxa [80]

Answer:

i think its A and D

Step-by-step explanation:

sry if im wrong

7 0
2 years ago
Read 2 more answers
Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
marishachu [46]

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

5 0
2 years ago
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select thr
AlladinOne [14]

Answer:

first one and last two

Step-by-step explanation:

B)

3 0
2 years ago
Read 2 more answers
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