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strojnjashka [21]
2 years ago
8

Amir deposits $325 in a bank account that earns 3% each year. How much will the account have in 5 years? Assume they make no add

itional deposits nor withdrawals.
Question 1 options:
A.$9.75
B.$1625.00
C.$376.76
D.$373.75
Mathematics
1 answer:
Neko [114]2 years ago
4 0

Answer:

C - 376.76

Step-by-step explanation:

each year, multiply the previous year's amount by 1.03 - the 1 because it will be increasing and the .03 because it will be increasing by 3% (.03 = 3% in decimal form)

year 0: 325

year 1 (+3%): 325 x 1.03 = 334.75

year 2 (+3%): 334.75 x 1.03 = 344.79

year 3 (+3%): 344.79 x 1.03 = 355.14

year 4 (+3%): 355.14 x 1.03 = 365.79

year 5 (+3%): 365.79 x 1.03 = <u>376.76</u>

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Solve for equation √-5p=√24-p
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Answer:


Step-by-step explanation:

Algebra Calculator | Latest | Discuss | About | Help | Translation

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p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

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      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

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Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

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Equation at the end of step  1  :

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Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

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Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

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