First year the interest will be 6% x 8000= $480
second year the interest will be 6% x 8480= $508.80
third year the interest will be 6% x 8988.80=$539. 33
fourth year the interest will be 6% x 9528.13=$571. 69
the total amount that matthew's bank will receive is 8,000+480+508.80+539.33+571.69=$10,099.82
Answer:
5x² - 31x + 30
Step-by-step explanation:
(5 - x)(6 - 5x)
= 30 - 25x - 6x + 5x²
= 30 - 31x + 5x²
= 5x² - 31x + 30
Answer: If the object travels 3.2 meters in 2 seconds, it would take 4.34 seconds to travel 15 meters.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The distance traveled by an object falling freely is proportional to the square of the time passed after the release of the object.
Mathematically speaking:
d = k t²
Where:
d = distance
t = time
k = constant
We have to find the value of "k", using the values of "d" and "t" given .
3.2 = k 2²
3.2 = k 4
3.2 / 4 =k
0.8 = k
Finally, to find the time that takes travel 15 meters:
d = 0.8 t²
15 = 0.8 t²
15/0.8 = t²
√18.75 =t
t= 4.34 seconds
If the object travels 3.2 meters in 2 seconds, it would take 4.34 seconds to travel 15 meters.
Answer:
$754.05
Step-by-step explanation:
We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.
The volume of a cylinder is:

where r = radius
h = height
Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.
The volume of the tank is therefore:

The cost of renting is $5 per cubic foot.
Therefore, the cost of renting a tank is:
150.81 * 5 = $754.05
It costs $754.05 to rent a tank.
Answer:
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