MATHEMATICS COLLEGE

A principal of $1900 was invested at 3.75% interest, compounded annually. Let be the number of years since the start of the investment. Let y be the value of the investment, in dollars. Write an exponential function showing the relationship between y and t?

Answers

Answer 1
Answer:

Answer:

y(t) = \$1900*1.0375^t

Step-by-step explanation:

If y is the future value of the $1900 investment, in dollars, after t years at a rate of 3.75% per year, compounded annually. The exponential function that describes the relationship between the variables y and t is:

y(t) = \$1900*(1.0375)^t

This relationship means that for every year t, the amount y will increase by a factor of 1.0375.

Related Questions

The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y, and z as​ variables, write the system of equations corresponding to the following matrix. If the system is​ consistent, solve it.left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket1 2 20 1 −30 0 149−2Which of the following system of equations corresponds to the given​ matrix?A.x plus 2 y plus 2 zx+2y+2zequals=44y minus 3 zy−3zequals=99zequals=minus−22B.2 x plus 2 y2x+2yequals=44negative 3 y−3yequals=99zequals=minus−22C.2 x plus 2 y plus 4 z2x+2y+4zequals=1negative 3 y plus 9 z−3y+9zequals=1minus−zequals=1D.xequals=442 x plus y2x+yequals=992 x minus 3 y plus z2x−3y+zequals=minus−22Select the correct choice below and fill in any answer boxes in your choice.A.The solution set isStartSet nothing EndSet{}.​(Type an ordered​ triple.)B.The solution is the empty set.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s equals =17.6 milligrams. Construct a​ 95% confidence interval for the true mean cholesterol content of all such eggs A. 175.9 mg less than < mu μ less than <194.1 mg B. 173.9 mg less than < mu μ less than <196.1 mg C. 173.8 mg less than < mu μ less than <196.2 mg D. 173.7 mg less than < mu μ less than <196.3 mg
The number of rows in a movie theater can be represented by the function f(x) = 12x.The number of seats in each row in the theater can be represented by the function g(x) = x + 9.Which function represents the total number of seats, h(x) = f(x)g(x)?h(x) = 12x + 108h(x) = 12x2 + 108xh(x) = 12x – 108h(x) = 12x2 + 108
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When Lena went to her friend's sleepover on Friday night, the temperature was –
7°F. By the next morning, the temperature had risen to
–
1°F.
What was the change in temperature during the sleepover?

Answers

The change in temperature during Lena's sleepover was 6°F. It can therefore be said that the temperature rose by 6°F during the sleepover.

How do we calculate the change in temperature?

To find the change in temperature, subtract the initial temperature from the final temperature, in other words, Subtract the temperature on Friday night from the temperature on Saturday morning.

Change in temperature = Final temperature - Initial temperature

Change in temperature = (−1°F) - (−7°F)

Change in temperature = −1 + 7

Change in temperature = 6°F

So, the temperature rose by 6°F during the sleepover.

Find more exercises on temperature change;

brainly.com/question/21764930

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Answer:

6F

Step-by-step explanation:

Multiply.(3x+4)(2x−1)

Express the answer in standard form.

Enter your answer in the box.

Answers

(3x+4)(2x−1)

FOIL (first outer inner last)

3x*2x + 3x*(-1) + 4*2x+4*(-1)

6x^2 -3x+8x -4

6x^2 +5x-4

(3x + 4)(2x - 1)    distributive

= (3x)(2x) + (3x)(-1) + (4)(2x) + (4)(-1) = 6x² - 3x + 8x - 4

combine like terms

= 6x² + 5x - 4

Answer: (3x + 4)(2x - 1) = 6x² + 5x - 4

PLSSSS!!! (10points)

Answers

Answer:

angle B is 62 Degress angle A is 87 degress D is 87 degress C is 28 degress.

Step-by-step explanation:

I am in geometry btw so i know this stuff and 65 plus 28 is 93 and 180 -93 is 87 so a is 87 and d is 87 too becuase of vertical angles and b is 62 becuase 90 -28 is 62 and c is 28 becuase of vertical angles your wellcome kid good luck!!!!

Megan is thinking of a number that is divisible by both 9 and 12 what is the smallest possible number that Megan is thinking

Answers

Answer:

36

Step-by-step explanation

9x4=36

12x3=36

Answer:

The smallest possible number Megan is thinking, is 36.

Step-by-step explanation:

In order to answer this question, you have to find the LCM of 9 and 12.

9 = 3 x 3 (simplified)

12 = 3 x 4 (simplified)

This means that 3 and 4 are both common factors in these two numbers.

Now, multiply the common factors with the uncommon factor.

3 is an common factor, and 4 is an uncommon factor

Hence, we do 3 x 3 x 4 which is equal to 36

An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of this evidence depends on the chance of a false positive positive that is the probability that the bureau finds a match given that the lead at the crime scene and the lead in the possession of the suspect are actually from two differant melts or sources. To estimate the false positive rate the bureau collected 1851 bullets that the agency was confident all came from differant melts. The using its established ctireria the bureau examined every possible pair of bullets and found 658 matches. Use this info to to compute the chance of a false positive.

Answers

Answer:

Step-by-step explanation:

Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.

So, there are 1851 bullets but each time we choose 2.

We have, N choose K = N! / K! (N-k)!

Here, N = 1851 and K = 2

Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!

                                         = 1851! / 2! * 1849!

                                         = 1712175 Possible Combinations

Out of these 653 are false positive.

The chance of getting false positive is = 658 / 1712175

                                                            = 0.000384

                                                           = 0.0384 %

Therefore, The correct option is

The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.

A well is 7 meters deep, and a snail climbs up from the bottom of the well.It climbs 3meters during the day and falls 2 meters at night.How many days can the snail crawl out of the well?

Answers

Answer:

1

Step-by-step explanation:
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