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Crazy boy [7]
3 years ago
5

The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is

arithmetic? If it is geometric?
Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)

where n is the number of term.

the 4th term is 125

if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)

where n is the number of term

the 4th term is 75

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In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
Solve the equation 3/4x+3-2x = -1/4+1/2x+5
elena55 [62]
Hi there! The answer is x = -1

Let's solve this equation step by step!
\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5

First collect terms.
- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}

Subtract (1/2)x from both sides.
- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}

Subtract 3 from both sides.
- 1\frac{3}{4} x = 1 \frac{3}{4}

And finally divide by -1 3/4
x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1
8 0
3 years ago
Read 2 more answers
How would I use factoring to write equivalent expressions for the following expressions?
Sedbober [7]

Answer:

4(a + 6)

3(x - 4)

Step-by-step explanation:

Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .

If you look at your

4a + 24

You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)

So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.

4 (____ + ____)

4(a + 6)

This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.

4a + 24

= 4(a + 6)

It's like factoring is "un-distributive" property.

Theres a 3 in 3x and also in 12

3x - 12

= 3(x - 4)

6 0
2 years ago
leda bakes 73 cupcakes and accidentally drop 5 of them. she divided them equally into 13 containers for a bake sale for the scho
Vadim26 [7]

If she dropped 5 out of 73 . The answer would be 68 . Or are you asking how many are in the container

5 0
3 years ago
A plant is already 52 centimetres tall and it will grow one centimetre every month. The Plant's height, H (in centimetres), afte
const2013 [10]

Answer:

idk sorry man hope you get helo

3 0
3 years ago
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