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elixir [45]
3 years ago
5

ian invested $2500 in an investment vehical that would guarantee to earn 4% intrest yearly. the function for this is A(t)=2500(1

.04). now using tables on your calculator, determine, to the nearest whole year, the value of t that solves the equation A(t)=5000. justify your answer with numerical evidence.
Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
A ( t ) = 2500 * (1.04) ^t
A ( t ) = 5000
5000 = 2500 * (1.04)^t
( 1.04 ) ^t = 5000 : 2500
(1.04)^t = 2
t = 17.68 ≈ 18
The value of t is 18 years.

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What is the hight of a Building 1 Angle 71o Distance 20 meters
vlabodo [156]

The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

tan71 = x/20

x = 58.08 meter

Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

Learn more about trigonometry here:

brainly.com/question/26719838

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6 0
2 years ago
2x + 10<br> 600<br> Vocabulary:<br> Equation:<br> Solve for :
aleksandr82 [10.1K]
The answer would be 295
3 0
3 years ago
Read 2 more answers
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
1.5c - 6 = 7.5 i need help with this problem and i have no one to help me
Lostsunrise [7]

Answer:

c=9

Step-by-step explanation:

Let's solve your equation step by step:

  1. add 6 on both sides
  2. divide 1.5 from the product of 6 and 7.5 (aka 13.5)
  3. you will get C
  4. put 9 in for C.
<h2>1.5c-6=7.5</h2>

1. 1.5c-6+6=7.5+6

1.5 1.5c=13.5

2.\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}

3. C=9

1.5(9)-6=7.5

13.5-6=7.5

6 0
2 years ago
0.193 ? 0.65<br>A. &lt;<br>B. =<br>C. &gt;​
Leviafan [203]

Answer:

A

Step-by-step explanation:

The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.

4 0
3 years ago
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