Suppose you invest $2000 at an annual interest of 5.5% compounded continuously.
a. How much will you have in the account in 10 years?
b. How long will it take for the account to reach $5000?

Answers

Answer 1

Answer:

[tex]2000 \times {1.055}^{10} = 3416.29[/tex]

[tex]5000 \div 2000 = 2.5[/tex]

[tex] log_{1.055}(2.5) = 17.11[/tex]


Related Questions

how to prove triangles are congruent

Answers

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for the number of minutes she uses the phone, plus a base rate of $89.00.

Answers

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

[tex]Base= \$89.00[/tex]

[tex]Rate = \$0.10[/tex] per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

[tex]Cost = Base + Rate * t[/tex]

[tex]C(t) = 89.00 + 0.10 * t[/tex]

[tex]C(t) = 89.00 + 0.10t[/tex]

Rewrite as:

[tex]C(t) = 0.10t + 89.00[/tex]

A function that has the above format is referred to as a linear function which has the general format

[tex]f(x) = mx + b[/tex]

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?

Answers

Answer:

Around 401 students would prefer chocolate milk.

Step-by-step explanation:

500/30=16.66667...

24*16.7=400.8

you cant have an eighth of a vote so you round to 401

anton needs to buy 3.5 meters of cloth for their project in TLE. If 1 meter of cloth costs P35.00 how much will he spend for 3.5 meters of cloth?

Answers

Answer:

122.5

Step-by-step explanation:

How do you solve 13 + 3 - 8x + 6 = 1 - 5x I dont get it

Answers

Answer:

x = 7

Step-by-step explanation:

How to solve your question

Your question is 13 + 3 − 8x + 6 = 1 − 5x

13 +3 - 8x + 6 = 1 - 5x

13 + 3 − 8x + 6 = 1 − 5x

Solve

Add the numbers

13 + 3 − 8x + 6 = 1 − 5x

22 − 8x = 1 − 5x

Rearrange terms

22 − 8x = 1 − 5x

−8x + 22 = 1 − 5x

Subtract  22 from both sides of the equation

−8x + 22 −22 = −5x + 1 − 22

Simplify

Subtract the numbers

−8x = -5x + 1 -22

-8x = -5x -21

Add 5x to both sides of the equation

-8x + 5x = -5x -21 + 5x

Simplify

Combine like terms

-3x = -21

Divide both sides of the equation by the same term

(-3x)/3 = (-21)/3

Simplify

Cancel terms that are in both the numerator and denominator

x = (-21)/(-3)

Divide the numbers

x = 7

Answer: x=7

Step-by-step explanation: :)

((14 + 3) +(20 - 2)2) + 5​

Answers

Answer: 58

Step-by-step explanation:

A student scores the following marks in 10 tests
3,7,x,7,12,9,10,4,2,5
If the mean mark is 6, calculate the value of x.

Answers

x=1
Explanation=

10*6 = 60

3+7+7+12+9+10+4+2+5= 59

60-59=1

Ahmed invests $1,500 at an interest rate if 4%, compound quarterly. How much is the investment worth at the end of 6 years?

Answers

Answer:

1904.60

Step-by-step explanation:

pv=1500

interest=4/4

interest=1

n=6*4

n=24

Fv?

fv=pv(1+r/n)^nt

5. Give an example of a possible answer that follows the form a=b
O 4-4 Infinitely many solutions
O x = 4 One solution
O 2 -4 No solution

Answers

It is c, 2 -4 no solution

1. Elijah's puppy weighs 35 ounces. If he weighed 20 ounces at the last visit to the veterinarian's office, what is the percent increase in the
puppy's weight?
The percent increase is type your answer...

Answers

Answer:

75 percent

Step-by-step explanation:

percent increase = increase/original ×100

= (35-20)/20 ×100 =15/20 ×100= 15×5= 75

what is 3/9 x1/2 ireally need help

Answers

Answer:

0.166666667

or....

166666667/1000000000

Step-by-step explanation:

Pls answer for me btw you are very smart

Answers

Answer:899,396

Step-by-step explanation:

Evaluate the following expression: 8x - 6 - 7y + 3 use x=3 and y=6

Answers

Answer:

-27

Step-by-step explanation:

8x - 6 - 7y + 3

X = 3 Y = 6

8(3) - 6 - 7(6) + 3

8 x 3 = 24

7 x 6 = 42

24 - 6 - (42 + 3)

(24 - 6) - 45

18 - 45 = -27

Ms. Orozco's class has 8 boys and 12 girls in the class. What is probability of choosing a girl?

Answers

Answer:

12/20 = 3/5

Step-by-step explanation:

hope this helps


Are triangle RAT and triangle BUG congruent, similar, or neither? Explain your reasoning.


Answers

Ce clasă ești sa văd daca te pot ajuta

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Please help it emergency I will mark you as brainlist please help

Answers

Answer:

I cant tell if you need help with the problem, or if this is a life or death emergency.

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2)

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7

The distance formula

Using the above formula we get,

The length of opposing sides are equal

Using the Pythagoras theorem, the length of diagonal WY and XZ are

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

Where l is length and w is width.

The area of given polynomial is

Therefore the area of the polynomial is 35 square unit.

CAN SOMEONE HELP I WILL GIVE BRAINLST PLEASE!

Answers

Answer:

Step-by-step explanation:

3.25 ........or  13/4

Ggggggggggggggggggggggggggggggggg

Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?

Answers

over all answerrr 75

The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that 45 is some percentage of 60

So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.

Let's say 45 is x percentage of 60

Then,

60 × x/100 = 45

x = 4500/60

x = 75%

Percentage will be 75

Hence "The percentage is 75%, the amount is 45 and the base is 60".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

The cost for a pair of jeans to the store is $5.50. The markup percent is 75%. What is the selling price?

Answers

Answer:

$9.63

Step-by-step explanation:

100 + 75 = 175

5.50/100 X 175 = 9.625

monetary unit round to 2dp

9.63

7-7/5x=12

Solve for x

Answers

Answer:

x= -7/25

Step-by-step explanation:

Answer:

x = -25/7

Step-by-step explanation:

what is 2,394x57,234​

Answers

The answer is 137,018,196
Explanation calculator

A line segment has endpoints F(2, 2) and G(8, 2) Find the coordinates of its midpoint M

Answers

Answer:

(5,2)

Step-by-step explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug points F(2,2) and G(8,2) into the equation

[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!

DOGS During a recent visit to the veterinarian's office, Mrs. Cho was informed that a healthy weight for her cat is approximately 35 pounds, plus or minus three pounds. Write an absolute value inequality that represents healthy weights w for her dog.

Answers

Answer:

Step-by-step explanation:

from the given information:

The healthy weight of the cat = 35 pounds

with +/- 3

To write the absolute value;

The healthy weight will either be less or greater.

So; w > 35 +3  or    w < 35 - 3

w - 35 > 3        or     w - 35 < -3

Thus, the healthy weight will be |w - 35| > 3

Solve for x in the diagram below.
32°
80°
2x

Answers

Answer:

Assuming you're talking about the angles of a triangle, X would be [tex]34^{.}[/tex]

Step-by-step explanation:

The sum of the angles in a triangle is 180, 180 - 32 - 80 = 68, [tex]\frac{68}{2}[/tex] is 34, so X is equal to [tex]34^{.}[/tex].

find the missing angle
50 points

Answers

Answer:

i believe it is 73 degrees

Step-by-step explanation:

Answer:

73°

Step-by-step explanation:

All interior angles of a triangle add up to 180°

We are given the angle measure of 17°. Since the triangle is a right triangle, it's safe to assume that the second angle is 90°.

90 + 17 = 107

180 - 107 = 73

The third angle should be 73°. Hope this helps!

a scale drawing on a lake has a scale is 1 cm to 80 m, if the actual width of the lake is 1,000m what is the width of the lake on the scale drawing

Answers

1000/80 = 12.5cm is width of the lake

Please Solve this. Last Question of the Day So Points Increase a little bit. :)

Answers

found this, hope it helps

Answer:

5 cookies left

Step-by-step explanation:

First you make the fraction equal by multiplying them

2/3 multiply both numerator and denominator by 4

= 8/12

Now you divide 60 by 12 to find the amount to make the denominator 60

60 divided by 12 = 5

8/12 multiply both numerator and denominator by 5

= 40/60

So now we know the amounts

She gave 40 away so she has 20 left (60 - 40 = 20)

Now make 3/4 numerator and denominator by equal to 20

Multiply them by 5

15/20

She had 5 cookies left

Which lines have a slope of -2? ​

Answers

Answer:

Lines C and D

Step-by-step explanation:

Both lines C and D are negative, and they both have the same slope. in order to find the slope you use rise over run; in this case, you go down 2 over left 1. C and D are the only lines that use that slope; therefore, they are the answers.

What did the teacher say to the vampire when he failed his math test?

Answers

Blaaaa you die.
Honestly I have no idea

Answer:

What did the teacher say to the vampire when he failed his math test?

Step-by-step explanation:

what is 21 1/2 -15 7/10?

Answers

Answer:

5.8 lemme know if im wrong :)

Step-by-step explanation:

Answer:

5 4/5. ( decimal 5.8)

Step-by-step explanation:

21 1/2 -15 7/10

= 43/2 - 15 17/10

=43/2 - 157/10

=29/5

= 5 4/5

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