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3 years ago

$10,000 is compounded semiannually at 12% interest for t years. what expression represents the amount of money after t years?

1 answer:

3 0

To solve this, you can do the is over of equals to % over hundred.
is %
__ = ____
of 100
10,000 12
_____ = ____
t 100
1,000,000=12t
__
t=83,333.33
i hope this helps!

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Use the elimination method to find all solutions of the system:

weqwewe [10]

Answer:

$x = 3$ and $y = 4$

Step-by-step explanation:

Given

[Correct Question]

$x^2 - 2y = 1$

$x^2 + 5y = 29$

Required

Solve using elimination

First, we eliminate x.

Subtract equation (1) from (2)

$x^2 - x^2 + 5y - (-2y) = 29 - 1\\$

$5y - (-2y) = 28$

$5y +2y = 28$

$7y = 28$

Divide through ny 7

$y = 4$

Take $x^2 - 2y = 1$

Make x^2 the subject

$x^2 = 1 + 2y$

Substitute 4 for y

$x^2 = 1 + 2*4$

$x^2 = 1 + 8$

$x^2 = 9$

Take square roots

$x = \sqrt 9$

$x = 3$

7 0

3 years ago

cual es la distancia entee los siguientes puntos R ( 6,-10) M (5,4) C(7,3) H (8,6) M (-4,9)

laiz [17]

Answer:

M ( -4,9)

Step-by-step explanation:

7 0

3 years ago

What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.

adelina 88 [10]

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According to the question,

The distance between two points is determined by using the distance formula.

$\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2$

Then,

The distance between points A (3, -5) and A' (2, -3) is,

$\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units$

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

brainly.com/question/8069952

6 0

2 years ago

Read 2 more answers

Kosma is cooking a lamb stew. When cooking this recipe she uses 12 of a cup of water per person. Today she is cooking for 9 peop

melomori [17]

Kosma used 242 cups of water in total

Kosma is cooking a lamb stew

The recipe uses 12 cups of water per person

She is cooking for 9 people, the number of cups used is calculated by multiplying 12 by 9

= 12 × 9

= 108

She added extra 134 cups of water as she noticed that she will be needing a little extra stew

Total number of cups of water used

= 134 + 108

= 242

Hence Kosma used 242 cups of water for the stew

#SPJ1

5 0

2 years ago

A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the bod

adell [148]

Answer: a - 4.512 hours

b - 1.94 hours

Step-by-step explanation:

Given,

a) A(t) = 10 (0.7)^t

To determine when 2mg is left in the body

We would have,

A(t) = 2, therefore

2 = 10(0.7)^t

0.7^t =2÷10

0.7^t = 0.2

Take the log of both sides,

Log (0.7)^t = log 0.2

t log 0.7 = log 0.2

t = log 0.2/ 0.7

t = 4.512 hours

Thus it will take 4.512 hours for 2mg to be left in the body.

b) Half life

Let A(t) = 1/2 A(0)

Thus,

1/2 A(0) = A(0)0.7^t

Divide both sides by A(0)

1/2 = 0.7^t

0.7^t = 0.5

Take log of both sides

Log 0.7^t = log 0.5

t log 0.7 = log 0.5

t = log 0.5/log 0.7

t = 1.94 hours

Therefore, the half life of the drug is 1.94 hours

6 0

3 years ago