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german
3 years ago
15

Larry looked at the clock. It was 9:45 p.m. The bus for his class trip leaves at 8:30 am. How many hours and minutes are there u

ntil the bus leaves? ​
Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

Answer:

In between the 10pm to 8 am =10 hours

In between the gap of 9:45 to 10 pm =15 min left

In between 8 and 8:30 am =30 min left

So 10hr and 45 min is the answer

Mademuasel [1]3 years ago
7 0

Answer:

There are 10 hours and 45 minutes until the bus leaves.

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Velocity ratio of simple machine is the ratio of distance travelled by effort to the distance travelled by load in the machine.Mechanical advantage MA is the ratio of output (generated by the machine) force to input (applied to the machine) force. So MA = 4 means that for example if you apply 100 N then your machine will multiply that force and generate 400 N.

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the length of a rectangle is 4cm longer than the width. the perimeter is 80cm. find the length and the width.
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Suppose $1000 is invested at a rate of 13% per year compounded monthly. (Round your answers to the nearest cent.)
masya89 [10]

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a.  $1010.83

b.$1066.77

c. $1138.00

d.$13,269.22

Step-by-step explanation:

Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.

a. #first we calculate the effective annual rate;

i_m=(1+i/m)^m-1\\\\i_{12}=(1+0.13/12)^{12}-1=0.1380

The compounded amount after 1 month is therefore:

P_1=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_1=1000(1+0.1380)^{1/12}\\\\P_1=1010.83

Hence, the principle after one month is $1010.83

b. The principal after 6 months:

-From a above we have the effective annual rate as 0.1380 and our time is 6 months:

P_{6m}=P(1+i_m)^n, \ n=6m, P=1000, i_m=0.1380\\\\P_{6m}=1000(1+0.1380)^{6/12}\\\\=1066.77

Hence,  the principal after 6 months is $1066.77

c.The principal after 1 year:

-From a above we have the effective annual rate as 0.1380 and our time is 12 months:

P_{1y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{1y}=1000(1+0.1380)^{12}\\\\P_{1y}=1138

Hence,  the principal after 1 year is $1138.00

d. The principal after 20years:

-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:

P_{20y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{20y}=1000(1+0.1380)^{12}\\\\P_{20y}=13269.22

Hence,  the principal after 20 years is $13,269.22

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4 years ago
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