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iVinArrow [24]
3 years ago
8

You want to quit your job and go back to school for a law degree 4 years from now, and you plan to save $3,500 per year, beginni

ng immediately. you will make 4 deposits in an account that pays 5.7% interest. under these assumptions, how much will you have 4 years from today
Mathematics
1 answer:
Westkost [7]3 years ago
8 0
Hi !

You plan to save $3,500

It pays +5.7% each year.

After 4 years, you will have : 3,500\times1,057^4\approx \$4,369
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A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut
fenix001 [56]

Quantify of sand in a bag =

= \: 5 \frac{2}{5}  \ \:

=  \frac{(5 \times 5 +2) }{5}

=  \frac{27}{5}  \: kg

Quantity of sand that escapes in every 10 minutes :-

= 1 \frac{2}{3} kg

Quantity of sand that will escape in 20 minutes :-

= 1 \frac{2}{3}  \times 2

=  \frac{(3 \times 1 + 2)}{3}  \times 2

=  \frac{5}{3}  \times 2

=  \frac{10}{3}

Quantity of sand that will remain in the sand bag :-

=  \frac{27}{5}  -  \frac{10}{3}

=  \frac{(27 \times 3)}{15}  -  \frac{(10 \times 5)}{15}

=  \frac{81}{15}  -  \frac{50}{15}

=  \frac{31}{15}

= 2 \frac{1}{5}  \: kg

therefore \:  ,  \: 2 \frac{1}{5}  \: kg \: sand \: is \: left \: in \: the \: bag \: .

3 0
3 years ago
Determine the measure of each indicated angle. Show all necessary steps!
Mariana [72]

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

<h3>What is the sum of all the angles of a regular polygon?</h3>

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

Learn more about interior angles of a regular polygon here:

brainly.com/question/14173422

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7 0
2 years ago
4. Find the value of x.<br> A) 6 √ 2<br> B) 12 √ 3<br> C) 24 √ 3<br> D) 12
Schach [20]
A^2+b^2=c^2
24^2=12^2+x^2
sqrt(576-144)=x
sqrt(432)=x
12sqrt(3)=x
the answer is c
7 0
2 years ago
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Tickets to a local circus cost $5 for students and $8 for adults. A group of 9 people spent a total of $60. How many adults were
S_A_V [24]

Answer:

5

Step-by-step explanation:

You need to set up and solve a system of linear equations here.

Let s and a represent the number of students and adults respectively.

Then s + a = 9, and s = 9 - a.

Total ticket cost for the adults was ($8/adult)(a)

and for the students ($5/student)(s).

Total cost of the tickets was then  ($8/adult)(a) + ($5/student)(s) = $60.

Then our system of linear equations is:

8a + 5s = 60

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8a + 5(9 - a) = 60.

Then 8a + 45 - 5a = 60, or 3a = 15.

Solving for a, we get a = 5.

Solving for s using s = 9 - a, we get   s = 9 - 5, or s = 4.

There were 5 adults in the group (and 4 students).

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Letter c
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2 years ago
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