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Nikitich [7]
3 years ago
9

Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded dail

y. How much interest has Neal earned? (3 points)
$1,412.52

$2,436.12

$1,375.75

$3,748.21
Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if <em>P</em> principal invested for <em>t </em>years at a rate of interest <em>r</em> that compounded daily is given by:-

A=P(1+\dfrac{r}{365})^{365t}

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

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Step-by-step explanation:

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3 years ago
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well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x

and then g(x) = m√x = 1√x = √x

well, if both equations are equal, then their ranges are also equal.

now, if m = "any positive real number"

f(x) = √(mx)  = √m √x will yield some value over the y-axis

g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".

what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.

7 0
3 years ago
Does anyone know how to solve the equation ln 2 - ln(x - 8) = 4, giving nearly 80 points
RoseWind [281]

Answer:

x= 8.1353

x= 8.135 (rounded to the nearest tenth-thousandths)

x= 8.14 (rounded to the nearest thousandths)

x= 8.1 (rounded to the nearest tenth)

Step-by-step explanation:

<u><em>Note I am not 100% sure with my answer</em></u>

2 − ln (x − 8)= 4

−ln (x − 8) + 2= 4

−ln (x − 8) + 2 + −2= 4 + −2

−ln (x − 8)= 2

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ln (x − 8)= −2

<solve for the logarithm (ln)>

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e^ln (x − 8)= e^−2

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5 0
3 years ago
Explain how to use a pattern to find 35.6 divided by 10 to the power of 2
posledela
As we know, sometimes questions such as these that include the powers and patterns can be a little confusing. I'll walk you through the process of finding this answer.

Firstly, we both know that 10 to the power of 2 simply means this :

10 * 10 = 100

Now, considering we already know what 10 to the power of 2 is, it makes the rest of the question a lot easier. All we have to do is divide 35.6 by the numbers we got.

35.6 / (10 * 10) = 0.356

There you have it, the answer is 0.356. If you need further assistance or you don't understand something, don't hesitate to ask me! I'm always open to people commenting on my profile or even sending me a private message. :)

- Sofie
4 0
3 years ago
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