Answer:
The two consecutive positive integers are
and
.
Step-by-step explanation:
Let
be an even integer, then the next even integer is
.
The sum of the squares of these even integers is
.
We can write the following equation and solve for
.
.
We expand to get,
.
We simplify to get,
.
This gives us,

We divide through by 2 to get,
.
This is now a quadratic trinomial
We split the middle term to get,
.
We factor to obtain,




We discard
since it is not a positive integer.

Hence the two consecutive positive even integers are,

and

Similar shapes are just shapes that have the same proportions and relative size. For example, a square that's 4 x 4 and a square that's 2 x 2. Although one's smaller, they are both the similar shapes.
Answer:
A.) 588329.896
B.) 274300
C.) 1657.18474
D.) 1.002
(All answers unrounded.)
Explanation:
I converted each unit to the unit used in the other number (E.g., for question A I converted tons to kilograms, and then finished solving.)
Answer: The amount is $14794.39 and the interest is $9794.39
Step-by-step explanation: If you deposit <em><u>$5000</u></em><u> </u>into an account paying <em><u>7.5%</u></em> annual interest compounded yearly , how much money will be in the account after <em><u>15 years</u></em>?
To find amount we use formula:
A-P(1+r/n) n*t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
P=$5000, r=7.5, n=1 and, t=15 years
After plugging the given information we have
A= $5000 (1+0.075/1)^1.15
A= 5000 *1.075^15
A=14794.39
To find interest we use formula A=P+I'
since A= 14794.39 and P=5000
we have: A=P+I 14794.39=5000+I
I= 14794.39 -5000
I=9794.39