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enot [183]
3 years ago
10

Use the listing method to represent the following set. { x | x I, 2 ≤ x ≤ 5}

Mathematics
2 answers:
atroni [7]3 years ago
4 0
2,3,4,5. Is the list
tatyana61 [14]3 years ago
3 0
{2,3,4,5 }. ..................................................................
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Susan currently has an account balance of $1,336.60. Her initial deposit on the account was $820 and it earned 4.5% simple inter
emmasim [6.3K]

The correct option will be :   14 years

<u><em>Explanation</em></u>

Current account balance of Susan is $1,336.60 and her initial deposit was $820

So, the amount of interest earned = 1336.60-820= 516.60 dollar

Formula for Simple Interest is: I= P*r*t, where I is the amount of interest, P is the initial amount, r is the rate of interest in decimal and t is the time duration in years.

Here, I= 516.60, P= 820, r=4.5% = 0.045

Now according to the above formula, we will get...

I= P*r*t\\\\ 516.60=820*0.045*t\\\\ 516.60=36.90*t\\\\ t=\frac{516.60}{36.90}= 14

So, Susan has held the account for 14 years.

3 0
3 years ago
3cm
omeli [17]

Answer:

can u attach the diagram

Step-by-step explanation:

7 0
3 years ago
382 3/10 - 191 87/100=
frosja888 [35]
382  \frac{3}{10}  - 191  \frac{87}{100} =(382 + \frac{3}{10} ) - (191 + \frac{87}{100}) =\\\\=382 + \frac{30}{100} -191- \frac{87}{100} =382  -191+ \frac{30}{100}- \frac{87}{100} =\\\\=191+ \frac{30}{100}- \frac{87}{100} =190+ \frac{100}{100}+ \frac{30}{100}- \frac{87}{100} =\\\\=190+\frac{130}{100}- \frac{87}{100} =190+\frac{43}{100}=190\frac{43}{100}\\\\\\382  \frac{3}{10}  - 191  \frac{87}{100} =382.3  - 191.87 =382.3  - 191-0.87 =191.3-0.87=\\\\=190+1.3-0.87=190+0.43=190.43
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A ball is thrown vertically upward from the top of a building 160 feet tall with an initial velocity of 48 feet per second. The
alina1380 [7]

Answer:

# after 5 seconds, the ball strikes the ground

# The ball reaches maximum height at t = 1.5 seconds

# The max height is 196 feet

Step-by-step explanation:

The equation is:

d(t)=-16t^2+48t+160

t is the time

d(t) is the distance traveled

Initial height is 160 feet and initial velocity is 48 ft/sec

If we want to find the time it takes the ball to hit the ground, we let d(t) equal to 0 and find t. Shown below:

-16t^2+48t+160=0\\t^2-3t-10=0\\(t-5)(t+2)=0\\t=5,-2

We disregard t = -2 since time can't be negative. We take t = 5

Thus, after 5 seconds, the ball strikes the ground.

The equation is a quadratic of the form: ax^2+bx+c

Matching equations, we can say:

a = -16

b = 48

c = 160

The time when ball reaches max height is given as:

t=-\frac{b}{2a}

Substituting, we find:

t=-\frac{b}{2a}\\t=-\frac{48}{2(-16)}\\t=1.5

The ball reaches maximum height at t = 1.5 seconds

The max height can be found by putting t = 1.5 into the original equation. Shown below:

d(t)=-16t^2+48t+160\\d(1.5)=-16(1.5)^2+48(1.5)+160\\=196

The max height is 196 feet

8 0
3 years ago
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