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forsale [732]
4 years ago
7

The population of mice in a vacant building is 200. The population of mice grows according to the model: M(t)=200(1.2)^t where t

is the time in days. Assuming none of the mice die, how many mice will be in the building at the end of 30 days
Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
4 0

7200. Because 1.2 *30 *200=7200

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Adding cheese to a McDonald's Quarter Pounder increases the fat content from 21 g to 30 g. What percent does the fat content inc
solong [7]

Answer: 42.9%

Step-by-step explanation:

The percentage increase of the fat content will be calculated as:

= Fat increase / Previous fat content × 100

= (30 - 21) / 21 × 100.

= 9/21 × 100

= 42.9%

5 0
3 years ago
Can anyone help me with this. It asks to solve and check your answer.
Katarina [22]
4m -21 = 3(5m - 1) 
4m - 21 = 15m - 3
15m - 4m = -21 + 3
11m = -18
m = -18/11

To check: 
LHS → 4 (-18/11)  -21 = - 303/11
RHS → 3( 5(-18/11) - 1) = -303/11
LHS = RHS (The answer is right)
8 0
3 years ago
If you walked all three trails in one day, how far would you walk? Write the answer in meters and kilometers
nordsb [41]

Answer:

a. Central Park 2.542 km, Marine Park 1.28 km, Van Cortlandt Park 2.30 km

b. 6.122 km

Further explanation

Given:

Van Cortlandt Park’s walking trail is 1.02 km longer than Marine Park’s.

Central Park’s walking trail is 0.242 km longer than Van Cortlandt’s.

Question a. Fill in the missing information in the chart below.

Central Park ____ km

Marine Park 1.28 km

Van Cortlandt Park ____ km

Problem solving:

From the information above, only Marine Park's walking trail has known at 1.28 km.

Because Van Cortlandt Park’s walking trail is 1.02 km longer than Marine Park’s, then we must add the Marine Park's with 1.02 km to get the Van Cortlandt Park's.

Van Cortlandt Park's walking trail = 1.28 km + 1.02 km

Thus, Van Cortlandt Park's walking trail is 2.30 km.

Next, we find out walking Central Park.

Because Central Park’s walking trail is 0.242 km longer than Van Cortlandt’s, then we must add the Van Cortlandt’s with 0.242 km to get the Central Park's.

Central Park's walking trail = 2.30 km + 0.242 km

Thus, Central Park's walking trail is 2.542 km.

Question b. If a tourist walked all 3 trails in a day, how many kilometers would he or she have walked?

Problem solving:

We have to add up the entire walking trail.

Central Park 2.542 km

Marine Park 1.28 km

Van Cortlandt Park 2.30 km

2.542 km + 1.28 km + 2.30 km = 6.122 km

If a tourist walked all 3 trails in a day, he or she would travel a distance of 6.122 km.

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Keywords: Van Cortlandt Park’s walking trail, 1.02 km, longer than Marine Park’s, Central Park’s, 0.242 km, fill in the missing information, in the chart below, a tourist walked all 3 trails in a day, how many kilometers

3 0
3 years ago
If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc
Iteru [2.4K]

Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

A = P(1 + r/n)^nt

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

4 0
3 years ago
It took each student 30 minutes to set up the puppet show and twice as long to put everything away. The show was open for 3 hour
BARSIC [14]

Answer:

4 and 1/2 hours or 270 minutes

Step-by-step explanation:

Each student spend 30 minutes to set up the puppet show.

+30

They spent twice as long to put everything away.

+30 +30

Current total: 90 minutes

The show was open for three hours

+180 (60 minutes in an hour x 3 hours)

Current total: 270

Total: 270 minutes

OR

Divide 270 by 60 minutes in an hour, which would be 4.5 hours.

5 0
3 years ago
Read 2 more answers
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