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aleksley [76]
2 years ago
11

Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowe

d $500 to buy a car, which she plans to pay back at a rate of $20 per month. How long will it take Carmen to pay back her loan?
Mathematics
1 answer:
koban [17]2 years ago
7 0

Answer:

800 ÷ 40

=20

It will take Carmen 20 to pay back her loan

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In △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP . Find the area of △ABC if the area of △BMP
ddd [48]

M is mid point of CP. M will divide the \Delta BPC in two equal parts \Delta BMC and    \Delta BMP.

Area of \Delta BMP is equal to 21m^2

Since, \Delta BMC = \Delta BMP

Area of  \Delta BPC = Area of  \Delta BMC +Area of \Delta BMP =  21 + 21 = 42m^2

and since ratio of AP:BP =1:3  so the area of \Delta BMP will be 1/3 of Area of \Delta ABC

hence, Area of \Delta ABC = 63m^2

5 0
1 year ago
Read 2 more answers
Which number produces a rational number when multiplied by 0.5
ivanzaharov [21]
10 is your answer because it is a terminating or repeating decimals
5 0
2 years ago
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There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0
2 years ago
Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds
AfilCa [17]

Answer:

$2.96

Step-by-step explanation:

3x$2.67=$8.01

3x$2.73=$8.19

5x$3.27=$16.35

$8.01+$8.19+$16.35=$32.55

This makes 11 pounds of trail mix.

$32.55 divided by 11 = $2.9590909 = $2.96

7 0
2 years ago
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list
Anit [1.1K]

Answer:

Step-by-step explanation:

Given that a group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below.

Data set is as ollows:

70 79 38 63 44 23 62 61 67 50 61 70 94 87 65

Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714

H0: mu = 60 sec

Ha: mu not equals 60 sec

Mean diff = 2.27

Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714

Test statistic = 2.27/SE =0.4815

p value =0.6376

Since p>0.05, we accept null hypothesis

i.e. there is statistical evidence to say that students are reasonably good at estimating one​ minute

8 0
1 year ago
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