The number of cats that you have is; 27 cats
<h3>How to calculate algebra word problems?</h3>
Let the number of cats alice has be x.
Since you have thrice the amount of cats that alice has, then you have 3x cats.
Bob has 7 less cats than you. Thus, bob has; 3x - 7
If they have a total of 56 cats, then;
x + 3x - 7 + 3x = 56
7x - 7 = 56
7x = 56 + 7
7x = 63
x = 63/7
x = 9
Thus, number of cats you have = 3x = 3 * 9 = 27 cats
Read more on algebra word problems at; brainly.com/question/13818690
The constant of proportionality is equal to 11.
<h3>Constant of Proportionality</h3>
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.
The constant of proportionality can be solved mathematically as
The constant of proportionality is the value that makes y = 11x and it is 11.
Learn more on proportionality here;
brainly.com/question/28413384
#SPJ1
The amount of money that John would have in his account when he is ready to retire is $6,351,400.21.
<h3>How much would be in the retirement account?</h3>
The formula that can be used to determine the future value of the annuity is
Future value = Daily deposit x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 3.5 / 365 = 0.0096%
- n = (65 - 48) x 365 = 6205
Annuity factor = [(1.000096^6205) - 1] / 0.000096 = $8468.53
Future value = 750 x $8468.53 = $6,351,400.21
To learn more about annuities, please check: brainly.com/question/24108530
#SPJ1
