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KatRina [158]
3 years ago
9

Mona has invested $2840 in a savings account for 6 years. She earned $894.60 in a simple interest. What was the annual interest

rate?
Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

The annual interest rate was 5.25%.

Step-by-step explanation:

Simple interest can be calculated using the following formula:  I = PRT, where I=simple interest, P=principal amount, R=percentage rate and T=time.  In this problem, Mona started with a principal amount of $2840, or P=2840 and invested for 6 years, or T=6, to gain simple interest in the amount of $894.60, or I=894.60.  When we put in the values for our variables in the equation, we get:  894.60 = (2840)(6)R.  Multiplying 2840 x 6 = 17040 and gives us:  894.60 = 17040R.  Using inverse operations to isolate the variable, we divide both sides by 17040 to get R=0.0525.  Since the rate is a percentage, we need to multiply our answer by 100 to get 5.25%.  

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A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in
mafiozo [28]

Answer:

6524.51 ft^2

Step-by-step explanation:

The surface area of a cylinder is given as;

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5 0
3 years ago
2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
Fudgin [204]

Answer:

\sf t_{20}= 0

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

      \sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }

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14th term is 6 ⇒\sf t_{14} = 6

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Subtract equation (II) from equation(I)

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        (II)         a + 13d = 6

                    <u>-    -          -</u>

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \sf \boxed{\bf d= (-1)}

Plugin d = -1 in equation (I)

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             a = 14 + 5

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20th term:

 \sf t_{20}= 19 + 19*(-1)

       = 19 - 19

   \sf \boxed{\bf t_{20} = 0}

8 0
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