future value = P × (1+ i)t Kate wants to have $25,000 in 16 years. How much does she need to invest if the interest rate is 6 percent per year?

Answers

Answer 1
Answer: If Kate wants $25,000, then that's the future value.
i is the rate of change, which is 6% in this case, which is rewritten as 0.06.
P is the starting value, or what she has to originally put in, which is what we need to find.
You put times t but it's actually to the power of t, which is time.
The time in this problem is 16 years, so t is 16.
Let's rewrite the equation with the plugged in values.
25,000 = P(1 + 0.06)^16
Now simplify:
25,000 = P(1.06)^16
25,000 = P(1.06^16)
25,000 = P(2.54)
How do you find P?
Isolate the variable!
To do this, divide both sides by 2.54.
25,000 / 2.54 = 9842.52
So that means she needs to invest an original amount of $9,842.52 if she wants to have $25,000 in 16 years with a 6% interest rate per year.

Now just check your work:
25,000 = 9842.52(1 + 0.06)^16
25,000 = 9842.52(1.06^16)
25,000 = 9842.52(2.54)
25,000 = 25,000
It works!
So $9,842.52 is the correct answer.

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It is claimed that 15% of the ducks in a particular region have patent schistosome infection. Suppose that seven ducks are selected at random. Let X equal the number of ducks that are infected. (a) Assuming independence, how is X distributed? (b) Find (i) P(X ≥ 2), (ii) P(X = 1), and (iii) P(X ≤ 3).
Okay I pick the answer parallels, was I correct?

How long would it take to fly to california from indiana?

Answers

The air travel shortest distance from Indiana to California is 2947.3km = 1831.37 miles.

If you travel with airplane ' which has average speed of 560 miles prh ' between Indiana to Cali, it takes about 3.27 hours to arrive meaning 3hrs nd 27 mins .


 - i
hope that this really helps you out, but IF NOT COMMENT IN THE COMMENT SECTION BELOWW AND I WILL CHANGE VIVA EDIT MY ANSWER< THANKS, N HAVE A GREAT Day .
It takes about 3 and half hour flight

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answers

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

Answer:

280 tons of wood

Step-by-step explanation:

Khan

Can someone help me and let me know if my answer is correct?A large emerald with a mass of 764.3 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

276.92

Answers

The answer is 276.92

The density (D) of is quotient of mass (m) and volume (V):
D = (m)/(V)

It is given:
m = 764.3 g
D = 2.76 g/cm³
V = ?

Since:
D = (m)/(V)
⇒ V= (m)/(D)= (764.3g)/(2.76g/cm^(3) ) = 276.92 cm ^(3)

Therefore, the volume of the emerald is 276.92 cm² and your answer is correct.

Answer:

276.92 cubic cm.

Step-by-step explanation:

Given :

A large emerald with a mass of 764.3 grams was recently discovered in a mine.

The density of the emerald is 2.76gm/cm^3

To Find: what is the volume?

Solution:

Density =2.76gm/cm^3

Mass = 764.3 grams

Volume=(Mass)/(Density)

Volume=(764.3)/(2.76)

Volume=276.92

Hence the volume of large emerald is 276.92 cubic cm.

The function of f(x) varies directly with x, and f(x)=48 when x=8.
Evaluate f(x) when x=2

Answers

Here's the equation for direct variation. k=y/x    [ f(x)=y]
Find k
k= 48/8=6
6=y/2
y=12
Hope this helps. 

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

Answers

we should do the whole math calculation, but for ease, we know that the percentage contained within 2 std deviations of a normal distribution is:
= 2(13.6) + 2(34.1)
= 95.4%

Answer:

95%

Step-by-step explanation:

:))

Find the missing values in each column.Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?

Answers

Answer:

because less

Step-by-step explanation: