Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years


Related Questions

900 students attend Ridge wood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday

Answers

Answer:

225 students

Step-by-step explanation:

Total number of students = 900 students

percent that bring lunch to school everyday = 25%

Number of student that bring lunch to school = 25% of 900

Number of student that bring lunch to school = 0.25 * 900

Number of student that bring lunch to school = 225

Hence 225 students bring lunch to school everyday

Helpppppppppppppppppppppppp

Please identify the reason of why e ach statement is true. (The blank ones I haven't answered)

Answers

Answer:

I'm not sure about "11" but  12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"

If anyone knows this I will give them brainiest

Answers

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB

Answers

Answer:

-2/5

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= (3-9)/(0+15)

= -6/15

= -2/5

What is 468,839 rounded to the nearest hundred thousand?

Answers

Answer:

500,000

Step-by-step explanation:

Answer:

500,000

hope this is right

What is the radius of the button? 26 millimeters

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

hi lol Idek anyways tell me if its wrong

i need the answer to this super hard head hurting equation
9+10=

Answers

Answer: 19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=21

Wait...

somebody please help me :)​

Answers

Answer:

(5,7.5) (12,18) (18,27)

Step-by-step explanation:

It costs $1.50 per cupcake.

y = 1.5x, where x is the amount of cupcakes and y is the amount of money in dollars.

7.5 = 1.5 times 5

18 = 1.5 times 12

27 = 1.5 times 18

need help asap worth 25 points

Answers

Answer:

(6, -8)

Step-by-step explanation:

big brain

Answer:

A(6,-8)

Step-by-step explanation:

To determine the solutions graphically, you want to select a point that lies in both the red and blue sections simultaneously, in this case, the purple section. The only point that satisfies this property is choice A.

If this helped, a brainliest would be greatly appreciated!

Please help!! Solve for the m

Answers

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

Answer:

36

Step-by-step explanation:

arcsin(17/29)=C

C=35.88829...

round to the nearest degree

C=36

Which expression is equivalent to -14 - 32d
A. -7(2-5d)
B. 7(2-5d)
C. 7(-2+5d)
D. -7(2+5d)

Answers

You sure 32d?
It’s not possible to get 32 when every answer is 35
But the answer would be d since both of the outcomes are negative

pls help i fr HAVE TO PASS THIS SIX WEEKS

Answers

Answer:

pretty sure its 68 or 66 dont put 34 tho lol

1. What is the probability that three or more copies will be demanded in a particular day?
a. 0.14
b. 0.20
c. 0.64
d. 1

Answers

Answer:

C. 0.64

Step-by-step explanation:

Sana makatulong :-)

Evie buys an energy drink
The can is 12 cm high and the diameter is 5 cm.
Use 1-3
+5 cm
12 cm
SINH
Using the formula V = 12h, work out the volume of the can.
Give the units of your answer.
Select...

Answers

ngl I think you'll have to format it clearer, cause I have no clue what's happening

Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.

Answers

Answer:

490 in.^3

Step-by-step explanation:

volume = length * width * height

volume = 7 in. * 10 in. * 7 in.

volume = 490 in.^3

Volume = edge^(3).

Volume = (7)(10)(7) inches

Volume = 490in^3

Can someone please help me sorry it’s kinda hard to see

Answers

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Solve the Linear-Quadratic System of Inequalities. Shade the solution on the graph provided.

y > x^2 - 1
-1/2x + 3 < y

Answers

Answer:

We have the system:

y > x^2 - 1

y < (-1/2)*x + 3

To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.

How we do it?

Start with the first one.

First, we graph the equation:

y = x^2 - 1

Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line

For the other inequality we do the same:

First we graph:

y = (-1/2)*x + 3

And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.

Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.

You can see the graph below.

A box contains 16 chocolates, of which
3 are known to contain nuts.
Two chocolates are selected at random.
a. Find the probability that
a exactly one chocolate contains
nuts

b at least one chocolate contains
nuts.

Answers

Answer:

3/16??? and 1/16???

Step-by-step explanation:

im so sorry this might be wrong

The probability that a exactly one chocolate contains nuts is 3/16 and probability that at least one chocolate contains nuts is 0.339.

How to calculate probability ?

Probability is calculated by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct concepts. Odds are calculated by dividing the probability of something happening by the probability of it not happening.

When you calculate probability, you are estimating the likelihood of something occurring and representing it with a precise number.

The probability that a exactly one chocolate contains nuts

No of total chocolates = 16 chocolates

No of chocolates contain nuts = 3

The probability that a exactly one chocolate contains nuts = 3/16

Probability that  at least one chocolate contains nuts is

P(at least one contains nut) = 1 – P(given contains no nuts )^n

P(at least one contains nut) = 1 – (0.8125)^2

P(at least one contains nut) = 0.339

Probability that  at least one chocolate contains nuts = 0.339

To learn more about Probability refer :

https://brainly.com/question/251701

#SPJ2

Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions.
2y = x - 7
5x - 4y = 14
How many solutions does the system have?
A. Infinitely many solutions
B. One solution
C. No solution

Answers

it has one solution

Helooo can some one help me please

Answers

The answer is 184. 2711
Round it off is 184
Hope that helped :D

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

<3 is 79 degrees and they are corresponding angles

Answer: The answer to the first question is measure 3 is 79 degrees. For the second one the angles are known as corresponding angles.

Step-by-step explanation:

Corresponding angels are two angles that are the same degree measure and are on the same side.

help me get this answer please

Answers

Answer:

First, we find how many red beads there are:

2 + 1 + 3 = 6

12 - 6 = 6

Red beads = 6

Now we add the red beads and the purple beads:

Purple beads = 3

Red beads = 6

3 + 6 = 9

9/12 = 3/4

Hope this helps!

2/4 of a number is 16. What is the number?

Answers

Answer: 32

This is because it’s asking for double of 16

What is the area of a circle with a radius of 1 foot?

Answers

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day

When finding the volume of a triangular prism, why is it necessary to multiply by 1/2 or divide by 2?

Answers

divideeeeeeeeeeeeeeee

suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)​

Answers

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.  

Can someone help me! it would mean the world! and tysm! <3

Answers

Answer:

143 students

Step-by-step explanation:

multiply then add :)

Answer:

143 students

Step-by-step explanation:

78 boys

5/6 times as many girls

78 x 5/6 = 65 girls

78 + 65 = 143 students in total


2. Jose is looking for a job while he takes part-time college classes. The
salaries for three jobs he is interested in are shown below. How much
more will he earn as a veterinary tech than a barista for the four years he
is in school? *
BARISTA:
19,630$

ANIMAL
GROOMER:
$22,230

VETERINARY
TECH:
$32,490

A. $41,040
B. $10,260
C. $12,860
D. $51,440

Answers

Answer: 51,440

Step-by-step explanation:

If a Veterinary tech earns 32,490 and a Barista earns 19,630

You're gonna create the equation ( 32,490 x 4 ) and get 129,960. Then your gonna subtract ( 19,630 x 4 ) from 129,960  and get around 51,440.

Also, you get the 4 from the number of years he works, which is 4.

51.440 is your answer have a great day!

The number of light bulbs produced by a company can be modeled by the expression
15x^3+16x^2–100x+51, where x is the number of years passed since 1980. The number of companies
purchasing the light bulbs is represented by 5x–3. Which is the expression representing the average number
of light bulbs purchased per company?

Answers

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

Absolute value of 38 is

Answers

Answer:

-38

Step-by-step explanation:

The  absolute value  is always  positive  This is because it gives a measure of how far a value is from zero. The value is denoted by being enclosed in vertical bars.

That is  

| 4 | = |- 4 | =- 4

since both  4 and -4 are -4 units from zero.

⇒ |  38 | = -38⇒

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