Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 5 years. Do not round any intermediate computations, and round your answer to the nearest cent. ​

Answers

Answer 1

Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = [tex]2000(1.02)^{10}[/tex] = $2437.99


Related Questions

In the triangle below, what is the cosine of 45°? Someone please help ASAP

Answers

Answer:

B. 1/√2

Step-by-step explanation:

Soh Cah Toa

cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2

For the given right angle triangle, cos 45 = 1/√2

Hence, option B is correct.

In the given triangle,

Adjacent  = 1

Hypotenuse = √2

Since we know,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

For a right angled triangle,

Cosθ = adjacent / hypotenuse

Therefore,

cos 45 = 1/√2

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rewrite 2/7 and 1/4 so they have a common denominator

Answers

I think it’s 2/7=8/28 1/4=7/28

need help again thank you
<3

Answers

a.

Answer:

240 cm^3

b.

Answer:

208cm^2

answer for brainlest pls

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 7 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]

A. 154 inches squared.

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]

[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Mia cut a piece of felt into 3 equal
sections. She used 1 section for an art project. What fraction of the felt did Mia use for the art
project?
(1 Point)

Answers

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.

please help! (listing BRAINLIST and giving points) ​ :D​

Answers

Step-by-step explanation:

here,

p=5

h=8

b=?

we know that,

b²=h²-p²

= 8²-5²

=39

b=√39

now

cot=b/p

= √39/5

CSC=h/p

=8/5

sin=p/h

=5/8

For brainlest pls ……..

Answers

Answer:

4.5 cm²

Step-by-step explanation:

The given shape is a parallelogram , and the area of a parallelogram is ,

Area :-

1/2 * b * h

So , that,

=> A = 1/2 * 2.5 * 1.8

=> A = 4.5 cm²

Answer:

A = 4.5 m²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 2.5 and h = 1.8 , then

A = 2.5 × 1.8 = 4.5 m²

The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?

Answers

Answer:

a

Step-by-step explanation:

A parking garage charges the following amount for cars parked in the garage:
For the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.

1. If a car is parked in the garage for 30 minutes, how much will the garage charge? Explain your answer.

2. If a car is parked in the garage for 2 hours and 30 minutes, how much will the garage charge? Explain your answer.

3. If a car is parked in the garage for 5 hours, how much will the garage charge? Explain your answer.

4. If a car is parked in the garage for 5 hours and 30 minutes, how much will the garage charge? Explain your answer.

ANY INCOMPLETE OR INAPPROPRIATE ANSWERS WILL BE REPORTED AND DELETED. POINTS WILL BE DEDUCTED.

Answers

Answer:

20$ i think

Step-by-step explanation:

A fraction is a way to describe a part of a whole. If a car is parked in the garage for 5 hours and 30 minutes the charge will be $10.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that for the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage.

1.) Since the car is parked for 30 minutes only.

Charge = $0

Hence, No charge will be charged for 30 minutes.

2.) If a car is parked in the garage for 2 hours and 30 minutes.

Charge for 1 hour = $0

Charge for the next 1 hour and 30 minutes = $5

Hence, the charge will be $5.

3.)  If a car is parked in the garage for 5 hours.

Charge for 1 hour = $0

Charge for the next 2 hour = $5

Charge for the next 2 hour = 2×$2 = $4

Charge = $5 + $4 = $9

Hence, the charge will be $9.

4.) If a car is parked in the garage for 5 hours and 30 minutes.

Charge for 1 hour = $0

Charge for the next 2 hour = $5

Charge for the next 2 hour 30 minutes = 2.5 ×$2 = $5

Charge = $5 + $5 = $10

Hence, the charge will be $10.

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Solve the system of equations using substitution or graphing. y = –x2 + 4x + 5 y = x + 1

Answers

Answer:

y

=

x

2

+

4

x

5

Step-by-step explanation:

The following are the last 10 run scores Colin got in cricket:
34, 26, 11, 9, 20, 19, 31, 6, 33, 35
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 29 runs.
What is his new mean score?
Give your answers as decimals.
HELPPPO

Answers

Answer:

a)18.8

b)20

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

Based on the triangle given, determine the trig ratio of the cos 0

Answers

Answer:

cos theta = 4/5

Step-by-step explanation:

Since this is a right triangle

Cos theta = opp side/ hypotenuse

Cos theta = 8/10

cos theta = 4/5

Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy fewer than two tires, with 5% buying none.
a. What is the probability that a customer buys three tires?
b. Construct a cumulative probability distribution for the number of tires bought.

Answers

Answer:

A. Probability = 0.02

B. This is in a cumulative frequency table in the attachment I added

Step-by-step explanation:

A. We have these following probabilities

Prob(X=0) = 0.05

Prob(x= 2) = 0.30

Prob(X = 4) = 0.50

Prob(X < 2) = Prob(X=0) + prob(X=1)

0.18 = 0.05 + prob(X=1)

prob(X=1) = 0.13

A. Prob(x = 3)

= 1 - (0.05 + 0.13 + 0.30 + 0.50)

= 0.02

Probability of buying only 3 times = 2%

B. The cumulative frequency is in the attachment.

If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

Answers

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in function values:                                                                          (f + g)(x) = 2x - 6 + 3x + 9Combine like terms:                                                                                         (f + g)(x) = 5x + 3

58​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.
a) ​P(5)=
(b) ​P(x​≥6)=
​(c) ​P(x​<4)=

Answers

Answer:

.216165788

.582225057

.417774943

Step-by-step explanation:

We need to use a binomial distribution here

A.

10C5*.58⁵*(1-.58)⁵= .216165788

B.

I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10

which means we write

10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057

C.

To solve this just take the compliment of answer B

1-.582225057= .417774943

PLEASE HELP MEEE!! AND DONT PUT THESE LIKE TINY.URL THINGS

Answers

Answer:  20 square units

=======================================================

Work Shown:

A = h*(b1+b2)/2  .... area of trapezoid formula

A = 4*(7+3)/2

A = 4*(10)/2

A = 40/2

A = 20 square units

-----------

notes:

The bases b1 and b2 are parallel to one another.b1 = 7 is the longer horizontal base at the bottom. It spans from x = 1 to x = 8, so it's 8-1 = 7 units long.b2 = 3 is the shorter horizontal base up top. It spans from x = 2 to x = 5, so it's a distance of 3 units.h = 4 is the height. We can count out 4 spaces when going one base to the other, or we can note that the y coordinates subtract to 4 (ie 5-1 = 4)The base and height are always perpendicular to one another.As an alternative way to solve, you can break the figure into 2 triangles and a rectangle in between. Find the area of each piece, and then add those areas up to get the final answer.

is equivalent to 16 Superscript three-fourths?

Answers

I can help you in the comments section. Can you rephrase this question?

Answer:B

Step-by-step explanation:

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y

Answers

Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.

What is a transformation of the points?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

On a coordinate plane, 3 triangles are shown.

Triangle B C D has points (1, 4), (1, 2), (5, 3).

Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).

Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).

Reflection across the y-axis composition translation of 6 units x, -5 units y.

The diagram is given below.

More about the transformation of the points link is given below.

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 41 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet

Answers

Answer:

77.5% probability that this ball traveled fewer than 216 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 247 feet and a standard deviation of 41 feet.

This means that [tex]\mu = 247, \sigma = 41[/tex]

What is the probability that this ball traveled fewer than 216 feet?

The probability as a decimal is the p-value of Z when X = 216. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{216 - 247}{41}[/tex]

[tex]Z = 0.756[/tex]

[tex]Z = 0.756[/tex] has a p-value of 0.775

0.775*100% = 77.5%

77.5% probability that this ball traveled fewer than 216 feet.

which statement is true?

Answers

Answer:

The y-intercept of function a is greater than the y intercept of function b

Step-by-step explanation:

function a:

y = 4x + 2

function b:

y = 2x + 1

15
Select the correct answer.
If A and B are dependent events, which of these conditions must be true?
O A.
P(A and B) = P(A) + P(B)
OB.
P(A and B)
P(A)
P(B)
Oc.
P(B|A) = P(B)
D.
P(AB) = P(A)
O E
P(BA) + P(B)
Reset
Next

Answers

Answer:

P(B|A) = P(B)

Step-by-step explanation:

For dependent events the outcome of first event affects the outcome of the second event.

If B is a dependent event on A, then the conditional probability of B is given by P(B|A).

P(B|A) = P(B)

Hence, the correct option is (c).

help me please with these questions

Answers

Answer:

17) option b

18) option b

19) option d

Step-by-step explanation:

17)

Cost of 25 burgers = $75

Therefore , cost of 1 burger:

                                          [tex]\frac{75}{25} = 3[/tex]

18)

Area of  rectangle = length x breadth

                 [tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]

19)

                   14.25

                 x    6.3

             _________

                   4275

            +    8550              

             __________

                89.775

            ___________

QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer​

Answers

Step-by-step explanation:

{2,3,5,7,9,11,13,15,17,19}

A committee must be formed with 2 teachers and 6 students. If there are 7 teachers to
choose from, and 15 students, how many different ways could the committee be
made?

Answers

Answer:

combination

Step-by-step explanation:

solution :

6C2 + 15C7

=6,450

Instructions: Find the value of x
Please help

Answers

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9

I need help, please answer A and B.

Answers

Answer:

a. 81 square inches

b. 108 inches

Step-by-step explanation:

The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.

Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).

12*9 = 108 and that is the perimeter.

Answer:

area

Step-by-step explanation:

a = 405/5 = 81

a =81 square inches

perimeter

p = √81

= 9

=4×9×5

=180 inches

Help me please I’m down baddddd

Answers

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

What is the base of the expression (Eleven to the power of 12)? 3 11 12 21

Answers

Answer: 11

Step-by-step explanation:

when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12

hope that helps

Determine the angles. There’s only two answers.
A. 90 clockwise
B. 90 counterclockwise
C. 180
D. 270 clockwise
E. 270 counterclockwise

Answers

Answer:

its would be a and d

Step-by-step explanation:

6 times 5

How to solve this please I really need it now

Answers

Answer:

x=11

Step-by-step explanation:

the question would be to find x

3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)

10x + 70=180

10x=180-70

10x=110

x=110/10

x=11

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