Find the value of A in the equation 5/a+3=3/A-2

Answers

Answer 1
Answer: If you would like to find the value of a in the equation 5/a + 3 = 3/a - 2, you can do this using the following steps:

5/a + 3 = 3/a - 2     /*a
5 + 3a = 3 - 2a
3a + 2a = 3 - 5
5a = -2
a = -2/5

The correct result would be -2/5.
Answer 2
Answer: 5+3a = 3-2a
So
5a = -2
a=-2/5=-0.4

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Which is a feature of permanent insurance?A.) it provides protection for a specific period
B.) it includes and investment component
C.) it is relatively low cost

Answers

It includes and investment component is the feature of permanent insurance, option B is correct.

What is Insurance?

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certainloss, damage, or injury.

Permanent life insurance provides lifelong protection as long as the policy premiums are paid.

Unlike term life insurance, which provides coverage for a specific period of time, permanent life insurancepolicies remain in force as long as the policyholder pays the premiums.

One of the key features of permanent life insurance is that it includes an investment component, also known as cash value.

As the policy holder pays premiums, a portion of the payment is allocated to the cash value account.

The cash value grows tax-deferred and can be used to pay future premiums, take out a loan, or be withdrawn in cash.

Hence,  it includes and investment component is the feature of permanent insurance, option B is correct.

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Answer – B. (It includes and investment component)
Permanent insurance has two key financial components, namely, the death benefit component and the cash value component. The cash value component is the investment component. It is the cash value component that accumulates cash value that the policy holder may withdraw or borrow against. The death benefit component refers to the amount that is to be paid to a beneficiary upon the death of an insured person.

Option A is wrong because permanent insurance, as the name implies provides permanent protection, and not just for a specific periodOption C is wrong because permanent insurance is not relatively low cost. On the contrary, it is relatively high cost when compared with temporary insurance.

Write .48 as a fraction in simplest form

Answers

Answer:

12/25

Step-by-step explanation:

0.48 is read as "forty-eight hundredths," so we can write it as a fraction as

48/100.

Since both 48 and 100 have a common factor, we can reduce the fraction.

48 and 100 are both divisible by 4.

48/100 = 12/25

There are no common factors of 12 and 25, so 12/25 is the answer.

Answer:

12/25

Step-by-step explanation:

48/100 Divide by 2

24/50 Divide by 2 again

12/25 Can not be further simplified.

I hoped this helped you

Add and simplify 9/16 + 1/2 =

Answers

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Further explanation

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

\boxed{(9)/(16) + (1)/(2) = \ ?}

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

\boxed{= \big( (9)/(16) * (2)/(2) \big) + \big( (1)/(2) * (16)/(16) \big)}

\boxed{= (18)/(32) + (16)/(32)}

\boxed{= (34)/(32)}

Let's take a break here to think.

Alternatively, develop a sharper method as below.

\boxed{= ((9 * 2) + (16 * 1))/(16 * 2)}

Note how this is performed. Absolutely indeed, cross-multiplication!

\boxed{= (18 + 16)/(32)}

\boxed{= (34)/(32)}

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

\boxed{(9)/(16) + (1)/(2) = \ ?}

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

\boxed{= \big( (9)/(16) * (1)/(1) \big) + \big( (1)/(2) * (8)/(8) \big)}

\boxed{= (9)/(16) + (8)/(16)}

\boxed{= (17)/(16)}

Do not forget simplifying again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Note:

In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • for the final answer, convert fractions to mixed fractions or decimal forms

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Triangle RST is congruent to triangle .Which sequence of transformations could have been used to transform triangle RST to produce triangle ?

Choose exactly two answers that are correct.



A.
Triangle RST was reflected across the x-axis and then rotated 90° clockwise around the origin.

B.
Triangle RST was reflected across the x-axis and then reflected across the y-axis.

C.
Triangle RST was rotated counterclockwise 90° around the origin and then reflected across the x-axis.

D.
Triangle RST was translated 8 units right and then reflected across the x-axis.

Answers

Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above

Express the fractions 3/4 7/16 and 5/8 with the LCD

Answers

LCD means Least Common Denominator. To find the LCD of 3/4, 7/16, & 5/8, we will first get the multiple of each denominator until we get the same multiple of the three denominator
Multiple of
     i. 4 are 4, 8, 12, 16
     ii. 16 are 16
     iii. 8 are 8, 16

16 is the multiple of 4, 16 and 8. So we will use it now as the LCD of the three given fractions.
We can now express the given fractions with the LCD
     3/4 = 12/16
     7/16 = 7/16
       5/8 = 10/16

Consider the exponential function f(x) = 1/5(15x). What is the value of the growth factor of the function?a.1/5
b.1/3
c.5
d.15

Answers

Answer:

Option: d is the correct answer.

      d.   15

Step-by-step explanation:

We are given a exponential function as:

             f(x)=(1)/(5)(15^x)

We know that in general a exponential function is represented by:

        f(x)=ab^x

where a is the initial amount and b represents a growth factor if it is strictly greater than 1 and a decay factor if 0<b<1

Hence, the value of the growth factor of the function is:

                              d.   15

The answer would have to be 15.