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Lady bird [3.3K]
3 years ago
11

If $1,120 is invested at an interest rate of 15% per year and is compounded contonuously, how much will the investment be worth

in 7 years? Use the continuous compound interest formula: A=Pr^rt.​
Mathematics
2 answers:
frutty [35]3 years ago
4 0

Answer:3,200.57

Step-by-step explanation:

Luden [163]3 years ago
3 0

Answer:

\$3,200.57  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=7\ years\\ P=\$1,120\\ r=0.15  

substitute in the formula above  

A=\$1,120(e)^{0.15*7}=\$3,200.57  

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you burn 200 calories by walking for 60 minutes how many calories will you burn if you walk 12 minutes?​
shusha [124]

Answer:

16.666

Step-by-step explanation:

divid 200 by 12

6 0
3 years ago
Which of these statements is true? A. The interior angles of both a regular and irregular pentagon have a sum of 540o. B. The in
Varvara68 [4.7K]

Answer:

 Option A is the correct answer.

Step-by-step explanation:

 The sum of interior angles of a polygon is given by (n-2) x 180°, where n is the number of sides.

 The sum of interior angles will not affect irregularity of polygon, it is same for regular and irregular polygon.

 For a pentagon n =5.

 Sum of interior angles = (5-2) x 180 = 3 x 180 = 540°

  Option A is the correct answer.

5 0
3 years ago
If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total
Deffense [45]

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

Cost function would be:

Total cost = Variable cost * Number of articles + Fixed cost

TC = 40a + 500

Using this, the cost of 90 articles is:

= 40 * 90 + 500

= $4,100

6 0
3 years ago
Please help me, I would very much appreciate it. ​
Gnesinka [82]

Answer:

The answer is B

Step-by-step explanation:

4 0
3 years ago
The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per
jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.90

P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.282) = 0.90

Putting values, we get,

\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1

Thus, 99.1 is the 90th percentile of these scores.

5 0
3 years ago
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