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sineoko [7]
2 years ago
6

Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuou

sly will Dale reach his goal?​
Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

9%

Step-by-step explanation:

Given that

The invested amount is $1,000

The future value is $2,400

The time period is 12 years

We need to find out the annual rate that compounded continously

So,

As we know that

Amount = Present value × e^(rate × time)

$2,500 = $1,000 × e^(rate × 12)

2.5 = e^(rate × 12)

ln 2.5 = 10r

ln 2.5 ÷ 10 = r

r = 9%

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4 years ago
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Marrrta [24]
ANSWER:

D. - 1 / 2

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As well as this, - 52 ÷ 26 = - 1 / 2

And this ratio applies for the other numbers in the sequence as well.

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3 years ago
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xxMikexx [17]

Answer:

D

Step-by-step explanation:

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3 years ago
What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?
uranmaximum [27]
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
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7 0
3 years ago
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
guajiro [1.7K]

Answer:

<em>Length of x ⇒ ( About ) 11.5; Option C</em>

Step-by-step explanation:

<em>~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~</em>

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

<em>Length of x ⇒ ( About ) 11.5</em>

7 0
3 years ago
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