Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
Answer:
Fraction: 10 and 5/8
Step-by-step explanation:
17 × 5/8
85/8
Answer:
7/4
Step-by-step explanation:
To find the reciprocal of 4/7, flip the fraction.
The numerator goes in the denominator and the denominator goes in the numerator
7/4
Answer:
See below.
Step-by-step explanation:
1. h
2. g
3. a
4. f
5. c
6. b
7. e
8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170
9. 700 + 137 + 300 = 700 + 300 + 137 = 1137
10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69
11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67
12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =
= 20 + 10 + 6 + 4 + 19
= 30 + 10 + 10
= 40 + 19
= 59
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.
1 year = 12 months
12 * 5 = 60 months
Therefore, in 5 years there are 60 months.
Now lets solve this problem step by step.
Subtract the down payment from $20,000
</span>$20000-$1500=$18500
Multiply the remaining number by the interest rate.
$18500 *1.9 = $35150
Divide 35150 by number of months in 5 years (60)
$35150 / 60 = $585
<span>Therefore, you have to pay $585 per month. </span>
