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forsale [732]
3 years ago
11

Solve for the variable

tex-formula">.

(v_f)^2=(v_i)^2+2ad
Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

±sqrt( (vf) ^2 -2ad)) = vi

Step-by-step explanation:

(vf) ^2 = (vi)^2 +2ad

Subtract 2ad from each side

(vf) ^2 -2ad = (vi)^2 +2ad -2ad

(vf) ^2 -2ad = (vi)^2

Take the square root of each side

±sqrt((vf) ^2 -2ad)) = sqrt((vi)^2)

±sqrt( (vf) ^2 -2ad)) = vi

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A bank made a farmer loan of $1,000 at 14% for 3 years compounded annually. Find the future value and the compound interest paid
Anna11 [10]

Answer:

Principal =  $1,000

Rate of interest = 14% = 0.14

Time = 3 years

A= P(1+r)^t

A = Amount or future value

P = Principal

r = rate of interest in decimals

t = time

Substitute the values in the formula

A= 1000(1+0.14)^3

A=1481.544

Future Value is $1481.544

Compound interest = Amount - Principal = $1481.544- $1000 = $481.544

Formula of simple interest : SI =\frac{P \times R \times T}{100}

Substitute the values :

SI =\frac{1000 \times 14 \times 3}{100}

SI =420

So, Simple interest = $420

Compound interest - Simple interest

= $481.544- $420

= $61.544

So, Compound Interest is $61.544 more than simple interest.

8 0
2 years ago
If you use exactly eight cups of cauliflower to make 6 veggie burritos and if you continue to make burritos using the same recip
Vitek1552 [10]

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

7 0
2 years ago
The area of a square can be represented by the expression x10. The side of the square can be written in the form xn.
Valentin [98]

The complete answer

The answer is 5


4 0
2 years ago
Read 2 more answers
Find the value of 3/4 of 10
Tpy6a [65]

Answer:

Step-by-step explanation:

7.5

4 0
3 years ago
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The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
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