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DIA [1.3K]
1 year ago
10

1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

ccount value to reach 8200 dollars?
Mathematics
2 answers:
IRISSAK [1]1 year ago
6 0

Answer:

The time required is about 75 years 3 months

Step-by-step explanation:

We know that the simple interest is expressed as

A = P (1 + rt)

A = final amount =$8200

P = initial principal

: balance=$200

r = annual interest rate 7.75%

7.75/100= 0.0775

t = time (in years)

Substituting our data into the expression we have

8200= 1200(1+0.0775*t)

8200=1200+93t

93t= 8200-1200

93t= 7000

t= 75.27

The time required to get a total amount, principal plus interest, of $8,200.00 from simple interest on a principal of $1,200.00 at an interest rate of 7.75% per year is 75.27 years (about 75 years 3 months)

svetlana [45]1 year ago
4 0

Answer:26 years

Step-by-step explanation:

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Four different prime numbers, each less than 20, are multiplied together. What is greatest possible result?
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46,189

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A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 times 10 Superscript n tons. If there ar
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2 years ago
The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
lidiya [134]

Answer:

f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground

Step-by-step explanation:

The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.

f(t) = 4t2 − 8t + 8

f(t) = 4(t2 - 2t) + 8                                  The middle term is -2t

f(t) = 4(t2 - 2t + 1) + 8 - 4                        -2t/2 = -1; -1^2 = 1

f(t) = 4(t-1)^2 + 4                                      Add 1 and subtract 4 since 4*1 = 4.

The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.

  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
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2 years ago
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