Money is invested into an account earning 4.24% interest compounded annually. If the accumulated value after 18 years will be $25,000, approximately how much money is presently in the account?

Answers

Answer 1

Answer:

Answer: $11,839.16

Step-by-step explanation:

Use the compounded annually formula: $A = P(1+r)^t$ , where:

A is the accumulated amount (total amount)
P is the principle (amount invested)
r is the interest rate (in decimal form)
t is the time (length of time the principle amount was invested)

$A=P(1 + r)^t\n\n25,000=P(1+0.0424)^(18)\n\n(25,000)/((1.0424)^(18))=P\n\n11,839.156=P\n\n11,839.16 = P\quad \text{(rounded up to the nearest penny)}$

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Which ratio forms a proportion with 16/20

Answers

Answer:

4/5 forms a proportion with 16/20.

Step-by-step explanation:

We are given an rational number as 16/20.

we have to find another rational number which is equivalent to it.

as both 16 and 20 are multiple of 4 we could also represent the ratio 16/20 as:

$(16)/(20)=(4 * 4)/(4*5)$

we cancel 4 on both the numerator and denominator to get $(4)/(5)$ .

Hence, the ratio $(4)/(5)$ is proportion with $(16)/(20)$ .

4/5 is equivalent to the fraction 16/20

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?A)2.7 feet

B)3 feet

C)5 feet

D)5.6 feet

Answers

We can find the answer by solving the two equations simultaneously.

equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x

equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5

But x >= 0 (the question says it's a height above the water), so x = 5

Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5

So the answer is C

Answer:

5 feet

Step-by-step explanation:

y = 5

How do I solve for the equation s=3f-24? Solve for f

Answers

s-3f=-24
-3f=-24-s
3f=24+s
f=24+s/3

Final answer:

To solve for 'f' in the algebraic equation 's=3f-24', add 24 to 's' and then divide the result by 3.

Explanation:

To solve the algebraic equation 's=3f-24' for 'f', you would first decide to isolate 'f'. To do this, start by getting rid of the '-24' on the right side of the equation by adding 24 to both sides. This would simplify the equation to 's+24=3f'. Next, divide both sides of the equation by 3. This step will result in a final solution of 'f=(s+24)/3'. So, to solve for 'f' in the provided equation, simply add 24 to the original 's' value and then divide the result by 3.

Learn more about Algebra here:

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PLZ HELP MEH WITH MATH XD

Answers

To add any fraction You need to make sure that the denominator of the fractions are same. ( denominator in your sum is 19 )

10/19 + 3/19 ( we have the same denominator )
we can also write this problem like
( 10 + 3 ) / 19 { add the numerators together }
13 / 19

So correct option is B.

hope this helped.. :)

10/19+ 3/19 (common denominator is 19)
= (10+ 3)/19
= 13/19

The correct answer is B. 13/19.

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

2
3
4
6

Answers

Answer:

the interquartile range of the data is:

Step-by-step explanation:

We are given a data set as:

0, 2, 4, 0, 2, 3, 2, 8, 6

On arranging the data in the ascending i.e. increasing order is given by:

0 0 2 2 2 3 4 6 8

The minimum value of data set=0

Maximum value of data set is: 8

Range of data set= Maximum value-Minimum value

i.e. Range= 8-0

i.e. Range= 8

Also, Median of set is the central tendency of the data and is given by:

Median= 2

Lower set of data is:

0 0 2 2

Hence, The median of lower set of data is the lower quartile or first quartile.

i.e. $Q_1$

Hence, $Q_1=(0+2)/(2)\n\n\nQ_1=(2)/(2)\n\n\nQ_1=1$

Hence, Lower quartile=1

Similarly upper set of data is:

3 4 6 8

Hence, The median of upper set of data is the upper quartile or third quartile.

i.e. $Q_3$

Hence, $Q_3=(4+6)/(2)\n\n\nQ_3=(10)/(2)\n\n\nQ_3=5$

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

IQR=4

If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

How do I write 3.83 in decimal form

Answers

3.83 is already in decimal form

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