1. you invest $10,000 for 5 years at 4% interest. To the nearest cent, find the amount of money in the account after 5 years if:
a) The interest is simple interest.
b) The interest is Compound annually
c) The interest is Compound monthly
d) The interest is compound daily
2. After 20 years, the total amount in an investment earning 3.5% interest compounded quarterly was $16,061.05. To the nearest dollar, how much money was originally invested?
3. After 5 years, the total amount in an investment earning 4% interest compounded daily was $12,213.89. To the nearest dollar, how much money was originally invested?

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

1.

a) simple interest = PRT/ 100

I = 10,000 * 4 * 5/100

I =$ 2000

A = $10,000 + $ 2000

A =$ 12,000

b) A = P(1 + r/n)^t*n

Where;

A = amount

P = principal

r = rate per year

n = number of time the interest is compounded in a year

t = time in years

A = 10,000(1 + 0.04)^5/1

A = $ 12,166.5

c) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/12)^5*12

A =$ 12,210

d) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/365)^5*365

A=$ 12,213.90

2.A = P(1 + r/n)^t*n

$16,061.05 = P( 1 + 0.035/4) ^20*4

$16,061.05 = P (2.0076)

P = $16,061.05/2.0076

P= $8000

3.

A = P(1 + r/n)^t*n

12,213.89 = P(1 + 0.04/365)^5*365

12,213.89 = P(1.221)

P = 12,213.89/1.221

P = $10,003.2


Related Questions

Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *

Answers

Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps

NEDD HELP ASAP PLEASEEEEEEEEEEEE :/

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i'm not for sure but i think it's 960

find the domain for 5/x2-9

Answers

Answer:

x > -3 or -3 < x < 3 or x > 3

Step-by-step explanation:

[tex]x^{2}[/tex] - 9

= (x + 3)(x - 3)

the undefined singularity points are at x = 3 and x = -3

x  > 3 or x > -3

For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared

Answers

Answer:

D- x^2

Step-by-step explanation:

Just did the practice edge. 2021

For a given function, y is inversely proportional to x.

Option A is correct.

What is function?

A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.

A function is a special type of relation where every input has a unique output.

A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.

Given function

y = [tex]\frac{1}{x^{2} }[/tex]

If x = 1, y =  [tex]\frac{1}{1^{2} }[/tex] = 1

If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25

If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111

If x is changing, y is also changing.

x is in denominator.

So, it means inversely proportional.

Y is inversely proportional to x.

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PLEASE HELP:):):):):):):):)

Answers

Answer:

[tex]Area = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Determine the area

The shape is a trapezium. So, the area is:

[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]

From the attached,

The height is 2

The parallel sides are: 2 and 6

So, the area is:

[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]

[tex]Area = \frac{1}{2} *8 * 2[/tex]

[tex]Area = 8[/tex]

Hence, the area is 8 units square

CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!

Answers

Answer:

75 is auwsome kid. im a million.

Step-by-step explanation:

waka waka

Triangle LQP is isosceles, and in it, angle L is 30 degrees; so the other two angles add up to 150 degrees. Hence, angle LQP is 75 degrees.

A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22

Answers

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].  For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

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Find the measures of the numbered angles in each kite.

Answers

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

Solve for x. Round all answers to the nearest tenth.
9
X
12

Answers

Answer:

I hope im right so so sorry if im not

Step-by-step explanation:

first find area

1/2 bh

1/2 of base times height

bh=(9)(12)=108

if there is a right angle then that is 90°

so do 108° -90° which is 18°

So your answer is 18°

The solution is, the value of x = 36.87.

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

from the given figure,

we get,

height = 9

base = 12

by, using the trigonometric relations,

we get,

tan x = 9/12

or, tan x = 0.75

or, x = 36.87

Hence, The solution is, the value of x = 36.87.

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I would love for someone to help me with this.

Answers

Answer:

5x + 3y = 12

Step-by-step explanation:

We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).

Parallel lines have the same slope.  The slope of the given line is determined by the coefficients 5 and 3 visible above.  Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.

Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining:  5(3) + 3(-1) = C.  Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is

5x + 3y = 12

The area of a large rectangular rug is 54 square feet. List all the possible pairs of
dimensions for the rug

Answers

Answer: 2 x 27, 3 x 18, 6 x 9

Step-by-step explanation:

Function operations

Answers

Answer:
Can’t see the image above. It’s black

Explanation:

Find the surface area on a pyramid 12cm 7cm 7cm

Answers

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began

Answers

Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

What is the value of S
Please help
Please No xtiny URLs

Answers

Answer:

s=89

Step-by-step explanation:

Hey guys I need help with this question

Answers

There are three areas.
A1=l•w
A1=2•1
A1=2 units^2

A2=l•w
A2=5•2
A2=10 units^2

A3=l•w
A3=2•1
A3=2 units^2

Area of shape is A
A=A1+A2+A3
A=2+10+2
A=14 units^2

30 + q = 43 show work PLEASEE HELP

Answers

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

Answer:

q=13

Step-by-step explanation:

first, subtract 30 from both sides of the equation

30-30+q=43-30

you should be left with q=13

that's your answer

Please help I’ll mark you as brainliest if correct

Answers

Answer:

The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.

Step-by-step explanation

Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.

solve the equation f/3+22=17

Answers

1) f/3 + 22 = 17

2) f/3 + 22 - 22 = 17 - 22

= f/3 = -5

3) 3 • f/3 = 3(-5)

= f = 3(-5)

= f = -15

Your answer would be f = -15

:)

Answer:

f = -15

Step-by-step explanation:

f/3 + 22 - 22 = 17 - 22

f/3 + 0 = -5

f/3 = -5

f = 3 × (-5)

f = -15

Thus, The answer is -15

-TheUnknownScientist

Find the area of the shaded region

Answers

9514 1404 393

Answer:

  112 ft²

Step-by-step explanation:

The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.

  shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')

  shaded area = 112 ft²

fine the Value of t in the equation


Answers

Answer:

14.4

Step-by-step explanation:

6 x (t1/3 + t1/2) = 12(6)

2t + 3t = 72

5t = 72 /5

t= 14.4

I don’t know how to do this at all

Answers

9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79

Answers

Answer:

t = 5.79

Step-by-step explanation:

Given the regression line equation :

Cˆ=182+2.2A

Null ; H0:β=0

Alternative ; Ha:β≠0

Comparing with the general for of a linear regression equation :

y = bx + c

b =slope Coefficient ; c = intercept

b = 2.2 (from equation given)

The test statistic :

t = (Slope, b - null, β) / standard error of slope, E

(b - β) / E

(2.2 - 0) / 0.38

t = 2.2 / 0.38

t = 5.7894736

t = 5.79

I’ll mark as BRANLIEST!!

30 POINTS!!

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}[/tex]

Complete the sentence.
32% of 25 is
I need all the help I can get!

Answers

25x32/100 =8
good luckkk

Answer:

8

Step-by-step explanation:

[tex]\frac{y}{25}= \frac{32}{100}[/tex]

y × 100 = 32 × 25

100y = 800

100y ÷ 100 = 800 ÷ 100

y = 8

Here is a formula for most percentage problems.

I need someone too answer this for someone

Answers

Answer: C

Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

I need help with my math assignment

Answers

x+15=102
102-15=x
x=87
Please give me brainliest

Les 2/3 de 9Litres ?

Answers

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line?

Answers

Answer:

he can run 24240 kilometers

Step-by-step explanation:

Find the slope of the line that contains the points (6, 5) and (8,7)

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is

y¹-y²

-----

x¹-x²

y¹ and x¹ can be either of the points.

So let's make it (6,5)

This means that y² and x² will be (8,7)

The equation will be

5-7d -2

----- = ---

6-8 -2

which can be simplified to 1 by divied both by -2

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