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Georgia [21]
2 years ago
9

Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an

Mathematics
1 answer:
34kurt2 years ago
6 0

Answer:

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you!!!! :D

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At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per
Vesnalui [34]

Answer: 3\dfrac{1}{4} hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : Distance = Speed\times Time

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

x+y= 8--------(1)\\\\20x+12y=122------------------(2)

Multiply 12 on both sides of equation (1) , we get

12x+12y=96------------(3)

Eliminate equation (3) from (2) , we get

8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}

Hence, you felt 3\dfrac{1}{4} hours good.

3 0
2 years ago
Rick surveyed 50 students at his school to see how many have after-school jobs and how many are getting the new video game conso
Alina [70]
Im pretty sure it was d when i took the test hopefully im corecct sorry if im not 
7 0
3 years ago
katie bought 12 roses she gave some a way and now has 4 roses left.how many roses did katie give away
Firlakuza [10]
Rosie gave away 8 roses
8 0
3 years ago
Read 2 more answers
QUIZ
Mashcka [7]

Answer: Sometimes

Step-by-step explanation: Through every 2 points is a line, so it would be sometimes as a line only has a minimum of 2 points.

5 0
2 years ago
What is the probability that 2 randomly selected months have 31 days?
aniked [119]

Answer:

31.8%

Step-by-step explanation:There are 7 months that have 31 days so,

The odds the first selected month has 31 days is 7/12

The next month there are only 6 months left with 31 days of only 11 months to choose from

so the odds for the second are 6/11

To calculate the odds they BOTH  have 31 months you multiply the two odds:

(7/12) x (6/11) = 42/132 = .318 so 31.8%

6 0
3 years ago
Read 2 more answers
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