write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously

Answers

Answer 1

Answer:

[tex]A = 100(.92)^{t}[/tex]

Step-by-step explanation:


Related Questions

Can someone help me with this math homework please!

Answers

In case of Nina:

slope of graph = speed = 48-32/6-4 = 16/2 =8

y-32 =8(x-4)

y-32=8x-32

y=8x

d=8t

at x= 0 i.e at t= 0

d= 0m

In case of Ryan:

slope =speed = 47.5-35=6-4 = 12.5/2 =6.25

y-35=6.25(x-4)

y-35=6.25x-25

y=6.25x+10

d=6.25t+10

at t = 0, d= 10m

RYAN had a head start of 10 m

One year josh had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.89. ​Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the​ males, the mean ERA was 5.083 and the standard deviation was 0.672. For the​ females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective​ z-scores. Which player had the better year relative to their​ peers, josh or alice ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

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.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

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

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

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

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Please help immediately, this is urgent!!! If you see this please answer my question.

Answers

Answer:

It is the second option down

Step-by-step explanation:

Help me ASAP please people

Answers

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

Solve the system by substitution
y= 5x− 22
y= 4x− 17

Answers

Answer:

x=5, y=3

Step-by-step explanation:

The s.s of |x-4|=-4 is
A-8
B-16
C blank
D 8

Answers

Blank. The absolute value must always be positive. Never negative.
The answer is C.
It is not possible for an absolute value to be negative

Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he presented the vocabulary words with several examples. Which of the following strategies should Mr. Fischer use next to check each student's understanding of the vocabulary words?a. having students look up the definition online to see if it matches what Mr. Fischer told themb. having students copy down the definition for each word that Mr. Fischer wrote on the board in Englishc. placing students in groups so each student can explain the vocabulary terms to their peers in Englishd. having students write a definition for each term in their own words in their native language

Answers

Answer:

D. having students write a definition for each term in their own words in their native language

Step-by-step explanation:

In Mr Fischer's mathematics class, we are presented with two categories of learners. Those that are native speakers of English and those who are learners of English.

Both categories of students would show their understanding best in this lesson if they were to write in their own native language.

The native english-speakers would have no issues writing in English, but those who are English learners would have problems communicating their understanding of the lesson in English. So it is best they give their definitions in their native language.

Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

Which point gives the y-intercept of ƒ(x) = –x2 + 4x – 3?

Answers

Answer:

A) (0,-3)

Step-by-step explanation:

to get the y-intercept let x = 0, then

y = 0 + 0 -3

y = -3

Answer:

(0,-3)

Step-by-step explanation:

The y intercept is where x=0

ƒ(x) = –x^2 + 4x – 3?

f(0) = -0^2 +4(0)-3

f(0) = -3

(0,-3)

help which one is the correct one

Answers

Answer:

B.) x^12

Step-by-step explanation:

You don't multiply the exponents when multiplying x^7 × x^5, you add them.

If we add the exponents, we get x^12.

Hope this helps!

If there is something wrong, just let me know.

Find the volume of this cone.
Use 3 for T.
V = Tip?h
[?]cm3
19 cm
V ~
6cm

Answers

Answer:

81 cm ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We are given the diameter of 6 so the radius is 1/2 the diameter

r = 1/2 (6) = 3

V = 1/3 pi r^2 h

   = 1/3 ( 3) * (3) ^2 * 9

 = 81 cm ^3

Can someone help me with this math homework please!

Answers

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

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

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

Can someone help me please hurry

Answers

9 tiles lay along each wall

How to change the decimal 4.5 into a fraction

Answers

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

4|x+3|<8 i need help asap

Answers

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

Which of these figures has rational symmetry?

Answers

Answer:

a is the answer parallelogram is a rotational symmetry

A would be the answer rational symmetry means it can be rotated by an angle of 0 and 360 degrees and be the same :)

two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket

Answers

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

-5(n²+9)=7.
Find n.

Answers

Answer:

Step-by-step explanation:

-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

-3/2

Step-by-step explanation:

the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.

so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.

so, the slope is

-6/4 = -3/2

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Answers

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]

Answers

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

angelA and angelB are complementary angles. If m angel = ( x-23)° and m angel B = (2x + 29°) then find the measure of angle B.​

Answers

Answer:

The measure of angle B is 29°.

Find the factorization of the polynomal below 64x^2 + 48x + 9

Answers

Answer:

(8x + 3)²

Step-by-step explanation:

Since our polynomial is 64x² + 48x + 9, we multiply 64x² by 9 to get 64x² × 9 = 576x² since we cannot simplify the expression any further.

Next, we need to find the factors of 576x² that add up to give 48x, these are 24x and 24x.

So the expression is re-written as

64x² + 48x + 9 = 64x² + 24x + 24x + 9

Writing out all the common factors, we have,

64x² + 48x + 9 = 8x × 8x + 3 × 8x + 3 × 8x + 3 × 3

Factorizing we have

64x² + 48x + 9 = 8x(8x + 3) + 3(8x + 3)

64x² + 48x + 9 = (8x + 3)(8x + 3)

64x² + 48x + 9 = (8x + 3)²

Find BD , given that line AB is the angle bisector of < CAD​

Answers

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Which proportion would you use to find what percent 6 is of 40?

Answers

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

0.5 + 1/9 show step by step and ill make you brainliest

Answers

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

Laiba, tauseef and Nadia walked 24,42 and 52 meters.What is the minimum distance that each of them can cover equally ?

Answers

Answer:

the minimum distance each of them can cover equally is 8 m.

Step-by-step explanation:

Given;

different distance covered by Laiba, tauseef and Nadia = 24 m, 42 m and 52 m

for the 24 m, distance covered by each = 24 m/3 = 8 m

for the 42 m, distance covered by each, = 42 m/3 = 14 m

for the 52 m, distance covered by each, = 52 m/3 = 17.33 m

From the results above, the minimum distance each of them can cover equally is 8 m.

{(2,-3),(3,-1),(2,3),(4,6),(6,6)}


Are the ordered pairs a function or not?

Answers

Answer:

Its a domain

Step-by-step explanation:

Domain:{2,3,4,6}

write the equation for the line that has a slope of -4 and passes through the point (-2, 2)

Answers

Answer:

y = -4x - 6

Step-by-step explanation:

y = -4x + b

2 = -4(-2) + b

2 = 8 + b

-6 = b

Answer: y= -4x+ 6


Step 1: Write an equation

To start off, let’s write the outline for the equation we will need. From my understanding of the question, we will need to put the equation in slope- intercept form. Let’s write the formula now.

y= mx+ b

Step 2: Substitute information

Now that we know the formula, we need to substitute the information we are given. Let’s start with the slope, which is represented in the equation by the letter m.

y= mx+ b
y= -4x+ b

Step 3: Solve

Now let’s solve for b. We will do so by substituting the given point into the equation by changing y and x. We will use that information to solve, which will bring us the only other unknown variable, b. Let’s do this now.

y= -4x+ b
2= -4(-2)+ b
2= 8+ b
6= b

Step 4: Revise equation

We now know the answer for b. We can substitute this into the equation. Since y and x can remain a variable, this will complete our equation.

y= -4x+ 6


Hope this helps! Comment below for more questions.

Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}

Answers

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

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