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iris [78.8K]
3 years ago
13

URGENT!

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
The equation for future value F of principal P over t years at r% interest compounded continuously is

F=Pe^(rt) =>
8000 = 4000*e^(0.04*t)
Solve for t:
e^(0.04t)=8000/4000=2
0.04t=log(2)
t=log(2)/0.04=17.33 (years)
You might be interested in
The chain of the Hawaiian Islands can be used to calculate the rate of movement of the Pacific Plate over the last few million y
klasskru [66]

Answer:

9.28 × 10⁻⁴ cm/year.

Step-by-step explanation:

Let d(t₀) represent the initial position of Kauai island = 0 km from the hot spot. at time t = 0 million years. Let d(t₁) represent its final position at time t₁ = 5.1 million years later in the North - west direction. d(t₁)=473 km = 4.73 × 10³ cm. The average speed v = total distance/ total time =[d(t₁) - d(t₀)]/t₁₋t₀ = (4.73 × 10³ - 0)/(5.1 × 10⁶ - 0) =  4.73/5.1 × 10³⁻⁶ = 9.275 × 10⁻⁴ cm/year ≅ 9.28 × 10⁻⁴ cm/year

7 0
3 years ago
Can the sides of a triangle have lengths of 10, 30, and 31? If so, what kind of triangle is it?
galina1969 [7]

Answer:

The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.

Step-by-step explanation:

In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.

A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.

6 0
4 years ago
Help asap will give brainliest to whoever answer's correctly.
nydimaria [60]

Answer:

cant see the image

Step-by-step explanation:

8 0
3 years ago
In the box below enter the value missing from the table
Kazeer [188]

Answer:

310 is in the ? space

Step-by-step explanation:

0 650

100 550

200 450

340 310

650 0

You just have to find what two numbers add up to 650.

7 0
4 years ago
A pizza restaurant markets 3 versions of its Crazy Combo: Combo 1 contains
worty [1.4K]

Answer:

Step-by-step explanation:

combo 1 : 3 cheese and 1 pepperoni

combo 2: 2 cheese and 2 pepperoni

combo 3: 1 cheese and 3 pepperoni

he chooses :

5 combo 1's : so thats (5 * 3) = 15 cheese, (5 * 1) = 5 pepperoni

2 combo 2's.....(2*2) = 4 cheese and (2 * 2) = 4 pepperoni

3 combo 3's....3(3 * 1) = 3 cheese and (3 * 3) = 9 pepperoni

added = a total of 22 cheese and 18 pepperoni....thats 40 pizzas

so the probability that he will randomly pick a pepperoni is 18/40 which reduces to 9/20

the probability that he will pick a cheese is 22/40 which reduces to 11/20

so ur answer is D. <===

8 0
4 years ago
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