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motikmotik
3 years ago
10

Can someone help me with this 1+2x<9 ​

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
6 0

Answer:

x < 4

Step-by-step explanation:

We have that: 1 + 2x < 9. Let's solve this as if the < sign was an = sign:

1 + 2x < 9

Isolate the variable:

2x < 9 - 1

2x < 8

Divide by 2:

x < 8/2

x < 4

The answer is x < 4.

solniwko [45]3 years ago
5 0

Answer:

x < 4.

Step-by-step explanation:

Isolate the variable:

2x < 9 - 1

2x < 8

Divide by 2:

x < 8/2

x < 4

The answer is x < 4.

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76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

7 0
3 years ago
Read 2 more answers
Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of
Shalnov [3]

Answer:

8 packs

Step-by-step explanation:

$4 = 1 pack

$32 = ?

$32 = $32/$4

$32 = 8 packs

4 0
3 years ago
Lionel walks 3/5 mile in 1/3 of a day. Cristiano walks 5/8 mile in 2/6 of a day.
Scrat [10]

Answer:

<h3>             Cristiano walked farther</h3><h3> In 1 day:   Lionel walked  1.8 mile</h3><h3>                  Cristiano walked 1.875 mile</h3>

Step-by-step explanation:

2/6 = 1/3  so we just need to know what is more 3/5 or 5/8

3/5 = (3•8)/(5•8) = 24/40

5/8 = (5•5)/(8•5) = 25/40

25 > 24  so 5/8 > 3/5

so <u>Cristiano walked farther</u>

They walk for 1/3 of a day so in a whole day they walk three times the distance

3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile

5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile

4 0
3 years ago
Is this a function?
Brums [2.3K]

Answer:

Yes

Step-by-step explanation:

It is a function since each x-coordinate is used only once. No two x-coordinates are equal. That makes it a function.

Answer: Yes

6 0
2 years ago
Formula of sec theta​
katovenus [111]

Answer:

sec(theta)=1/cos(theta)

Step-by-step explanation:

sec(theta)=1/cos(theta)

6 0
2 years ago
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