MATHEMATICS HIGH SCHOOL

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answers

Answer 1

Answer:

Answer: 8 years

Step-by-step explanation:

Answer 2

Answer:

8 years

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5/8 +5/12 in simplest form
08.01)Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school No, it is not a valid inference because his classmates do not make up a random sample of the students in the school Yes, it is a valid inference because he asked all 27 students in his art class Yes, it is a valid inference because his classmates make up a random sample of the students in the school  Question 2 (Multiple Choice Worth 5 points) (08.01)Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? 72 100 1,080 1,500
Frankie is planning to buy a new MP3 player for $90.Each month he doubles the amount he saved the previous month.If he saves $3 the first month,in how many months will Frankie have enough money to buy the MP3 player?
Whats 3.25 x 10 to the power of 4 whats
I need help on this question

Determine the value of x. DO,k(x, 9) → (–10, –6)

Answers

Choices were: A.5 B.7 C.12 D.15

k(x,9) = (-10,-6)

k*x = -10
k*9 = -6 Distributive property of multiplication

k*9 = -6
k = -6/9
k = -2/3 Get the value of k to solve for the value of x.

k*x = -10
-2/3 * x = -10
x = -10 ÷ -2/3
x = -10 * -3/2
x = (-10 * -3)/2
x = 30/2
x = 15 Choice D.

Answer:

The answer is D.

If a ⊂ b, b may have more elements than a. True false

Answers

That's true. If A is a subset of B, it means that every element in A is also an element in B. This means that B has, at least, as many elements as A. Nothing prevents B from having more elements though, which don't belong to A.

Consider this example:

$A = \{1,2,3,4\},\quad B=\{1,2,3,4,5,6\}$

A is a subset of B, because every element of A (1,2,3,4) is also an element of B (1,2,3,4 are in B as well).

Still, B has two more elements (5,6) which don't belong to A, so a superset can have (and typically does actually) more elements than its subset.

In Nebraska on I-80, the speed limit is 75 mph. How long would it take you to travel 525 miles in Nebraska on I-80 if you went the speed limit the whole time?

Answers

the answer to your question is 7 hours just keep adding 75 together

Solve sin 4x - cos 2x = 0.

Answers

sin 4 x - cos 2 x = 0
2 sin 2 x cos 2 x - cos 2 x = 0
cos 2 x ( 2 sin 2 x - 1 ) = 0
cos 2 x = 0
2 x = π/2 + nπ / : 2
x 1 = π/4 + nπ/2, n ∈ Z
2 sin 2 x - 1 = 0
2 sin 2 x = 1
sin 2 x = 1/2
2 x = π/6 + 2 nπ
2 x = 5π/6 + 2 nπ
x 2 = π/12 + nπ
x 3 = 5π/12 + nπ , n ∈ Z

X to the forth power ÷ 3+9 when x=3