Find the balance in the account: $1,600 principal earning 7%, compounded semi-annually, after 33 years

Answers

Answer 1

Answer: A principal invested for n number of years increases as the equation projects F = P * (1+ i) ^n where F is the future worth, p is the present worth or principal and i is the interest rate. substituting, F = $1600 * (1+ 0.07/2) ^33*2 equal to amount of future worth or balance of $15494.70

Answer 2

Answer:

Answer:

$15,494.70

Step-by-step explanation:

Compounding twice year, 3.5% each, 66 times

result=$1,600*1.035^66 = $15,494.70

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Which statement is true about the function f(x)= x?O The domain of the graph is all real numbers.
The range of the graph is all real numbers.
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The range of the graph is all real numbers greater than or equal to 0.

Answers

Answer:

Step-by-step explanation:

$√(x)$ only takes positive inputs and only outputs positive integers

Use the Distributive Property to expand -3 (8x - 4).

Answers

-3(8x-4). With D property, that would be
-24x + 12

Final answer:

The Distributive Property is applied to -3(8x - 4) by multiplying -3 by each term inside the parenthesis, which gives the expanded form -24x + 12.

Explanation:

To use the Distributive Property to expand -3(8x - 4), you need to multiply each term inside the parenthesis by -3.

Multiply -3 by 8x: -3 × 8x equals -24x
Multiply -3 by -4: -3 × -4 gives +12, because when two negative numbers are multiplied, the answer has a positive sign.

Now combine the two products you obtained:

-24x + 12

Therefore, the expanded form of -3(8x - 4) using the Distributive Property is -24x + 12.

Learn more about Distributive Property here:

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1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A. 42.5 centimeters
B. 65 centimeters
C. 9.2 centimeters
D. 35 centimeters

D.

35 centimeters

Answers

$a^(2)+ b^(2) = c^(2)$ that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
$25^(2)+ 60^(2)= x^(2)$
625+3600= $x^(2)$
4225= $x^(2)$
Therefore,
$√(4225)$ =x
65=x
The length of the hypotenuse is B.65 centimetres.

Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each month, how much in total is put into her 401k each month?A) $200
B) $800
C) $600
D) $1,000

Answers

Answer:

D) $1000

Step-by-step explanation:

Her company is using a ratio of 2:3 of what she is putting into her account. That means that for every two dollars that she puts into her 401K , the put in three dollars.

Therefore, if she puts away $400 each month:

2 : 3

400 : 600

Her company will pay $600 into her 401K.

That gives her a total of:

400 + 600 = $1000

id say B...............

1)Which of the following is correct about parallelogram?
A. The consecutive angles are congruent
B. The diagonals bisect each other at right angle
C. The diagonals are congruent
D. The two pair of opposite sides are parallel and congruent

Answers

Answer:

the answer is D .I think I may not be wrong

The state of Colorado is shaped like a rectangle with an approximate width of 280 mi and length of 380 mi. What is the population density of Colorado in people per square mile if the population is 5,116,800?