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mr Goodwill [35]
3 years ago
7

In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost

$1370. They start with $125 at the start of each month they plan to deposit 20% more than the previous month. Will they have enough money for their trip? If not, how much more do they need?
Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

Step-by-step explanation:

The savings for each month is increasing by 20%. It means that it is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of terms(months) in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $125

r = 1 + 20/100 = 1.2

From March to August, it is 5 months. Thus,

n = 5 months

Therefore, the sum of the first 8

5 terms(months), S5 is

S5 = (125 × 1.2^(5) - 1)/1.2 - 1

S5 = (125 × 1.48832)/0.2

S5 = 186.04/0.2

S5 = $930.2

They won't have enough money for the trip.

The additional amount of money that they need is

1370 - 930.2 = $439.8

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C monthly

Step-by-step explanation:

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3 0
3 years ago
Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t
xxMikexx [17]

Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = 3x

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

x+3x=2000\\\\4x=2000

Dividing both side by 4 we get;

\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books

Number of fiction books = 500

Number of non fiction books = 3x=3\times 500 =1500

Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0
3 years ago
A rectangle is inscribed in the region bounded by the x-axis, the y-axis, and the graph of x+2y-8=0. Approximate the dimensions
Rasek [7]
Hope this helps you.

4 0
3 years ago
“Solve the system using elimination” im not good at math so can someone help me
iris [78.8K]

Answer:

No solutions

Step-by-step explanation:

i did this via substitution so i hope it isn't a problem

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6x+2y=−4

Step: Solve 3x+y=4for y:

3x+y+−3x=4+−3x(Add -3x to both sides)

y=−3x+4

Step: Substitute−3x+4foryin6x+2y=−4:

6x+2y=−4

6x+2(−3x+4)=−4

8=−4(Simplify both sides of the equation)

8+−8=−4+−8(Add -8 to both sides)

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8 0
3 years ago
Pls help I am suffering​
Fed [463]

Answer:

line l: x = -1

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line n: y = 4

line p: y = -2

Step-by-step explanation:

All of these lines are parallel to either to y or x axis, so the slope is either zero or undefined. This means all you have to do is set x or y equal to the x intercept or y intercept. For lines that go vertically, they always have the same x coordinate and any y coordinate you put in will make a point that is on the line. The same thing with the horizontal lines, except they all have the same y coordinate and any x coordinate will make a point that is on that line.

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6 0
2 years ago
Read 2 more answers
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