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adelina 88 [10]
3 years ago
7

Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun

ded daily after 3 years. Round to the nearest cent. (Use 365 for the number of days in a year. Enter a number.)
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

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Answer:

t+5

Step-by-step explanation:

We can combine like terms, and get t+(4+3-2) to get t+5.

Hope this helped!

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3 years ago
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allochka39001 [22]

Part A

  • Converse = "If corresponding angles are equal, then two lines are parallel"
  • Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

  • Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
  • Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

  • Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
  • Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

  • Converse = "If John loses his money, then he throws coins in the fountain"
  • Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

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6x^2-13x=-6

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(3x-2)8(2x-3)=0

3x-2=0

2x-3=0

x=2/3

x=3/2

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