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ioda
3 years ago
15

Determine the final balance from depositing $8,000 compounded quarterly for 6 years at 3% annual

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Answer:

$9571.31

Step-by-step explanation:

Quarterly compounded equation: A = P(1 + r/n)^nt

Step 1: Plug in variables

A = 8000(1 + 0.03/4)^10

Step 2: Solve

And you should get 9571.31 as your final answer.

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Is it a function and what is the Domain and the Range
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a-is a function

the domain is:[-3,1]

the range is :[-4,0]

b- is not a function

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I THINK IT IS THE LAST ONE

Step-by-step explanation:

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asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
3 years ago
A circle is centered on point b . Points a,c, and d lie on its circumference . If adc measure 61 then what does abc measure.
Elis [28]

Answer:

\angle ABC = 122^\circ

Step-by-step explanation:

Given

\angle ADC = 61^\circ

<em>See attachment for circle</em>

Required

Find \angle ABC

From the attachment, we can see that:

\angle ADC is at the circumference

\angle ABC\\ is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

\angle ADC = \frac{1}{2} * \angle ABC

Make ABC the subject

\angle ABC = 2 * \angle ADC

Substitute: \angle ADC = 61^\circ

\angle ABC = 2 *  61^\circ

\angle ABC = 122^\circ

4 0
2 years ago
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