Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.
![\text{Actual amount saved}=\$423\times 48](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%24423%5Ctimes%2048)
Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:
![423\approx 400\\\\48\approx 50](https://tex.z-dn.net/?f=423%5Capprox%20400%5C%5C%5C%5C48%5Capprox%2050)
![\text{Actual amount saved}=\$400\times 50](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%24400%5Ctimes%2050)
![\text{Actual amount saved}=\$20,000](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%2420%2C000)
Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
The first number will be 500
the second number will be 600
and the last number will be 990
That would be 0.75:) hope this helps!
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6