Answer:
44, 46
Step-by-step explanation:
The integers are both even, so if the smaller one is x, then the larger one is x+2.
Therefore:
((x) + (x+2))² = 4048 + (x)² + (x+2)²
(2x + 2)² = 4048 + x² + x² + 4x + 4
4x² + 8x + 4 = 2x² + 4x + 4052
2x² + 4x - 4048 = 0
x² + 2x - 2024 = 0
(x + 46) (x - 44) = 0
x = -4+, 44
Since x must be positive, x = 44. And x+2 = 46. So the numbers are 44 and 46.
Let's check:
(44 + 46)² = 8100
4048 + 44² + 46² = 8100
Answer:
13x=13
Step-by-step explanation:
...............
The answer to this question would be: 17 years
The <span>interest rate is 3.8% compounded twice a year. The function of the saving account amount would be:
f(x)= </span><span>4,790.23* (1+ 0.038/2)^2x
</span>f(x)= 4,790.23* (1.019)^2x
Then for f(x)= 9,000 the x value would be:
9,000= 4,790.23* (1.019)^2x
9,000/4,790.23= (1.019)^2x
1.8788= (1.019)^2x
<span>2x=34
</span>x=17
So to get the Greatest Common Factor (GCF) of 55 and 21 we must need to factor each value first and then we choose all the copies of factors and multiply each of them here is what i mean:
<span><span>55: 5 11</span><span>21: 3 7</span></span>
The Greatest Common Factor (GCF) is: 1
Answer:
Compound interest
$5557.88
Step-by-step explanation:
Everything starts at 100% and since it depreciates you subtract 13.5 from 100 =86.5% now we want percentage as a decimal so we divide by 100=0.865 our multiplier
Now you have the original amount that you purchased for times by the multiplier to the power of number of years=10
23700 times 0.865 power of 10
=5557.88
