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Luda [366]
3 years ago
6

How would you work out this equation? 4x+3y=-23 -2x-3y=25

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0
You need to move your contents e.I. 3,4,5 and your variables e.I.2x, 5y, 2z first
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If a vehicle travels a distance of 5t^4-10t^2+6 miles in t+2 minutes what is the vehicles speed
satela [25.4K]

speed = distance/time
3 0
3 years ago
In a group of 304 people, the ratio of adult women to adult men is 3:4 and the ratio of adult men to children is 1:3. How many c
Lubov Fominskaja [6]

Answer:

192

Step-by-step explanation:

6 0
3 years ago
Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

5 0
3 years ago
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
3 years ago
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab
mina [271]

Answer:

If Elizabeth randomly chooses her ride in the morning and in the evening, 2/3 is the probability that she'll use a cab exactly one time

3 0
2 years ago
Read 2 more answers
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