Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account after 5 years?

Answers

Answer 1

Given that the amount invested was compounded annually, the total value of the investment after 5 years will be:
FV=P(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=time
hence
FV=5000(1+3.2/100)^5
FV=$5,852.865

Related Questions

Find the next number sequence 192,96

Answers

the answer i think i is 192,961

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?

Answers

Note that (a+b)^2 = a^2 + 2ab + b^2. This is always true.

Let's re-write the given "ab = 8 and a^2+b^2=16" as
a^2 + 2ab + b^2 = 16 + 2ab, or, equivalently, as
(a+b)^2 = 16 + 2(8) = 32.
This is the answer we wanted.

what is the answer to 3 (k-2)-6=4k-(3k-1)

Answers

Eliminate parentheses.
3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5

Which of the following is a negation of the statement below?

All students like math.

Answers

in fact, i do not see the answer from the choices that i like, so i will let some one else answer All students do not like math. is wrong since all we need is one that does not like math i hope this helps you

Answer:

All students do not like math

Step-by-step explanation:

Because if it was 'No students do not like math' would mean 'all students like math'

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answers

well, assuming is not inches, and instead is ln(x).

[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]

Answer:

[tex]x=7.39[/tex]

Step-by-step explanation:

we are given equation as

[tex]6+ln(x)=8[/tex]

Since, we have to solve for x

so, we will isolate x on anyone side

Firstly, we will subtract both sides by 6

[tex]6+ln(x)-6=8-6[/tex]

[tex]ln(x)=2[/tex]

now, we can take exponent of e on both sides

[tex]e^{ln(x)}=e^2[/tex]

now, we can use property of log

and we get

[tex]e^{ln(a)}=a[/tex]

we can use it

[tex]x=e^2[/tex]

So, solution is

[tex]x=7.39[/tex]

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?

Answers

8 because 2^3 or 2 x 2 x 2 = 8

A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers

Answers

Make a proportion:

60 km/ 1 g = 240 km/ x

Cross multiply to find x.

60x = 240

x = 4 The bike would need 4 gallons of gasoline.

To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.

To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:

First, write down the given efficiency: 60 kilometers per gallon.

Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:

240 kilometers / 60 kilometers per gallon = 4 gallons.

Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.

Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13

Answers

we know that
the rule is
y=x+2
then
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 -------------------> y=0+2=2
for x=1 -------------------> y=1+2=3

for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9

the answer is
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3

Answer: the first set of data:

Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

Explanation:

Given functión y = x + 2

Choices:

1)
Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

2)

Input x      3    4    5      6      7
Output y   5    7    9    11    13

Answer:

You just have to use the sets of input values and find the output values with the given function:

The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.

The first set of data fits the function because

x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3

That proves that the first set of data represents the given rule.

For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2

Find the general solution of the differential equation y'' - 2y' - 3y = -3te^(-t)

Answers

Consider this solution. Pls, make a design according the local requirements.

The probability is 0.2 that a person shopping at a certain store will

Answers

Your question is incomplete

if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25

Answers

The selling price is 2.5 times the cost. If the cost goes up by 0.25, the selling price needs to go up by 2.5*0.25 = 0.63 in order to maintain the gross margin.

find (f*f)(3) f(x)=x^2-x

Answers

fof(x) = f(x^2 - x) = (x^2 - x)^2 - (x^2 - x)
f(3) = (9 - 3)^2 - (9 - 3)
f(3) = 6^2 - 6
f(3) = 36 - 6 = 30

I wouldn't want to bet the farm on this. If you get another answer that is reasonable, take it.

To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.

The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).

f(3) = (3)² - (3) = 9 - 3 = 6.

Now, we find (f * f)(3), which means f(3) * f(3).

(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.

Therefore, the solution to (f * f)(3) is 36.

Please help me with this question

Answers

The area of 1/2 the hexagon is
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm

_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.

A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon

Answers

First compute the probability of getting an orange marble.
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

The point-slope form can be simplified from the 2-point form.

y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form

_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa

Answers

Daisy designs 30 cards
Lisa designs 12 cards

Difference in the number of cards
30 - 12 = 8

Daisy designs 8 cards more than Lisa.

Final answer:

To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.

Explanation:

To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.

Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.

Learn more about Designing cards here:

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PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.

Answers

THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺

Answer:

Step-by-step explanation:

what is 5 1/2 × 2 1/3

Answers

Hello,

Here is your answer:

The proper answer to this question is "77/6".

Here is how:

First turn the mix numbers into fractions:

5 1/2=11/2
&
2 1/3=7/3

Now write the equation:

11*7=77
2*3=6

Your answer is 77/6!

If you need anymore help feel free to ask me!

Hope this help!

The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.

Yes, they increased their score by 8%.

No, they increased their score by only 6%.

No, they increased their score by only 8%.

Description

Answers

no they only increased it by 6 precent

Yes, they reach the goal and increased their score by 9%.

What is percentage increase?

% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.

Given:

Last week game score=66

Next week game score= 72

Change in score= 72-66=6

So,

% increase= Change in score/original score *100

=6/66*100

=9.09 %

Hence, the score increase by 9.09%.

Learn more about percentage increase here:

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Which is the most reasonable conjecture about the data shown in the scatter plot?

I think B? I'm not sure..

Answers

In this case, what you should notice is that there is an increase in salary according to years of experience.
Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
Answer:
people with more experience, have to earn higher salaries.
option B.

which represents the solution(s) of the equation x2=289?

a. x equals the square root of 17
b. x equals positive square root of 17
c. x equals negative square root of 289
d. x equals positive square root of 289

Answers

The answer is D, since when you simplify the equation, you would sqrt each side of the equation, making the answer be the positive square root of 289.

Hope this helps!

Answer:

The answer are the options C and D

x equals negative square root of [tex]289[/tex]

x equals positive square root of [tex]289[/tex]

Step-by-step explanation:

we have

[tex]x^{2} =289[/tex]

Take square root both sides

[tex]x=(+/-)\sqrt{289}[/tex]

therefore

the solutions are

[tex]x=+\sqrt{289}[/tex]

[tex]x=-\sqrt{289}[/tex]

how many subsets of at least one element does a set of six elements have

Answers

The number of subsets of n elemnets = 2^n
but this also includes a null set, because a null set is a subset of every set

So in our problem = 2^6 -1 = 63 subsets
Choice B

Answer: The required number of subsets is 63.

Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.

We know that

the number of subsets of a set having n elements is given by

[tex]N=2^n.[/tex]

So, the number of subsets of the set having six elements will be

[tex]N=2^6=64.[/tex]

Since there is only one subset of every set that contains less than one element (that is the empty set), so

the number of subsets of the set with at least one element is given by

[tex]N-1=64-1=63.[/tex]

Thus, the required number of subsets is 63.

Anyone know the right answer?

Answers

Begin by understanding the word "per"

Whatever follows per is on the denominator of the fraction

So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.

How many 10 person juries can be formed from 21 possible candidates???

Answers

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]

Answer:

352,716 juries of 10 people can be formed from 21 possible candidates

Step-by-step explanation:

I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

10 people from a set of 21

[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]

352,716 10 person juries can be formed from 21 possible candidates

After a concert for 1,600 people, only 4 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again?

Answers

The answer you are looking for is 0.25%.

To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.

I hope this helps!

Answer:

0.25 percent

Step-by-step explanation:

Helppp experrts/ace/geniuses

Answers

the irrational number would be square root 9/27

What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3

Answers

The answer would be 2.16.

This is because the two negatives would cancel each other out when multiplying. This would basically make the question [tex]0.9*2.4[/tex].
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16

Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.

WE have to find the product of (–0.9)(–2.4)

it’s simply (–0.9) x (–2.4) = 2.16

Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16

Hence, the product of (–0.9)(–2.4) will be equal to 2.16

Learn more about multiplications;

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A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?

Answers

If the perimeter is 102 inches, the sum of length and width is half that, 51 inches. This sum is
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23

The length and width of the rectangle are 28 inches and 23 inches, respectively.

Give a description of a3/4 turn of the minute hand on a clock face

Answers

it's 9:00 because the clock only goes upto 12 and it well be 3/4 75% .so if 3*4 is 12 3*3=9

The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?

Answers

9 and 29 would be your answer. Because there is a 20 difference in the two numbers and they equal 38 when added together. Hope this helps!

x= smaller number
x+20= larger number

Add the two numbers together and solve for x.

x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number

To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number

CHECK:
9 + 29= 38
38= 38

ANSWER: The smaller number is 9 and the larger number is 29

Hope this helps! :)

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