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Mrrafil [7]
2 years ago
8

Solve: 5a + 6a = -11 What does A equal? A =

Mathematics
1 answer:
pochemuha2 years ago
8 0

Answer:

a = -1

Step-by-step explanation:

Combine like terms 6a + 5a = 11a

11a = -11

Divide -11 by 11

-11/11 = -1

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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
2 years ago
What is the inverse of the function? f(x)=3x−1
Hatshy [7]

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

5 0
2 years ago
Write an expression for the sequence of operations described below. triple v, then subtract 7 from the result Do not simplify an
oee [108]

Given:

The sequence is defined as "triple v, then subtract 7 from the result".

To find:

The expression for the given sequence.

Solution:

Triple v means 3 times of v, i.e., 3v.

So, the result is 3v.

Then subtract 7 from the result. So, the expression for the sequence is

3v-7

Therefore, the required expression is 3v-7.

6 0
3 years ago
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! Explain how to use estimation to help find the product of two decimals. Give an example
san4es73 [151]
You can use estimation to find the product of two decimals by rounding both the decimal’s so the nearest tenth or tens place (depending on how long it is) and then multiplying the decimals.

for example, if you had 4.6 and 8.9, you have to round the 4.6 and 8.9. you round the 4.6 up to 5 because the 6 bumps the 4 up to 5) and then round 8.9 to 9 (because the 9 bumps the 8 up to 8.) then, multiply 5 and 9 and you get 45!
6 0
2 years ago
Read 2 more answers
What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of r
Zepler [3.9K]
For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0,           then we substitute: a=5,  b=-2,  c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions. 
7 0
3 years ago
Read 2 more answers
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