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Stella [2.4K]
3 years ago
13

$300 was deposited in a Certificate of Deposit (CD) yielding 6% interest compounded quarterly. how many years will it take the C

D to reach a value of $876.34?
Mathematics
1 answer:
Ivan3 years ago
8 0

The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...

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

Putting your given numbers into the formula, we have

... 876.34 = 300(1 +.06/4)^(4t)

Taking logarithms, this becomes the linear equation

... log(876.34) = log(300) + 4t·log(1.015)

Solving for t in the usual way, we get

... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right

... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t

It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.

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Anna [14]

Answer:

The answer is the first one, A

Step-by-step explanation:

8 0
3 years ago
Round to the nearest tenth 72​
Drupady [299]

Answer:

It would be 70

Step-by-step explanation:

Round to the nearest tenth 72​

the answer is 70 why because if you around to the nearest 10 it would be 70.

Hope it helped brainiest plz

4 0
3 years ago
Read 2 more answers
Not sure how to solve this one
Alex73 [517]

Answer:

x\approx 63.4^0

Step-by-step explanation:

In the given right triangle,

Measure of angle = x°

Opposite side of the angle = 12 units

Adjacent side of the angle = 6 units

By taking tangent ratio of the given angle,

tan(x°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

           = \frac{12}{6}

           = 2

x^0=\text{tan}^{-1}(2)}

x=63.43^0

x\approx 63.4^0

4 0
2 years ago
Help if you understand please and thanks
wlad13 [49]

Answer:

y = 4

Step-by-step explanation:

because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four

6 0
2 years ago
HELP IM IN DESPERATE NEED!!!<br> What is the solution to this system of equations?
Paladinen [302]

[Given]

{ x + y = 6

{ x = y + 4

[Plug-in our x value & solve]

[Given] x + y = 6

[ Plug-in] (y + 4) + y = 6

[Distribute] y + 4 + y = 6

[Combine like terms] 2y + 4 = 6

[Subtract 4 from both sides] 2y = 2

[Divide both sides by 2] y = 1

[Answer]

Third option - (5, 1)

-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users as well as myself)

- Heather

6 0
2 years ago
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