20 POINTS!!!!
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation,
y = 60(1 + 0.04)x, can be used to determine the number of years, x, it takes for Jacob's balance to reach a certain amount of money, y. Jacob graphs the relationship between time and money.

1. What is the y-intercept of Jacob's graph?
2. If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.

Answers

Answer 1

Answer:

1. 60 is his y-intercept

2. $82.11 in his account after 8 years

Answer 2

Answer:

The y-intercept of Jacob's graph is $60, which represents the initial amount of money he deposited into the account.

If Jacob doesn't deposit any additional money into the account, the amount of money he will have in eight years can be found by plugging in x=8 into the equation y = 60(1 + 0.04)^x and evaluating:

y = 60(1 + 0.04)^8

y ≈ $82.08

So the answer to the second question is that Jacob will have approximately $82.08 in the account after eight years, assuming he doesn't deposit any additional money into the account.

Hope this helps,
Ariana :)


Related Questions

In the triangle ABC
are drawn two sides
of it, BB1 and AA1.
Those half-edges
intersect at point O.
What is the length of
the semicircular BB1
if B10 = a cm?

Answers

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

how do you draw on essay questions on online school pls help ASAP​

Answers

Answer:

i dont think that you can

perhaps attatch a file of a drawing to the question you are answering for school

Step-by-step explanation:

Answer:

Answer the question according to general rules of academic writing. Use indentations; begin each paragraph with a topic sentence; support the topic sentence(s) with reasons and/or examples; use transition words to show logical organization; write a conclusion. Use correct punctuation throughout.

Step-by-step explanation:

i dont know is this what u meant lol

Solve each equation. Show or explain your reasoning.

−3x − 5 = 16

−4(y − 2) = 12

Answers

Answer:

Step-by-step explanation:

First equation:  −3x − 5 = 16

 Combine the constants:

 -3x = 21

  Solve for x using division:  x = 21/(-3)   or  x = -7

Second equation:  −4(y − 2) = 12

 Reduce this by dividing both sides by -4:  y - 2 = -3

 Add 2 to both sides, to isolate y:  y = -1

Quadrilateral ABCD has two pairs of parallel opposite sides and the m∠A=90°. Classify quadrilateral ABCD.

Answers

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

Part a) Which animal is the fastest?
Part b) What is the speed of that animal?

Answers

Answer:

cheetah and 70 mph

1.Blue wild beast (33 1/3 / 2/3)
2.Brown hare (8 / 1/6)
3.Cheetah (7 / 1/10)
4.Elk (18 / 2/3)

To find the speed we need to do Distances / time= speed

To divide fraction you used
K -keep
C - change
F - flip

(1) 33 1/2 / 2/3=

67/2 x 3/2=186/4

186/4 = 46.5

2. 8 / 1/6
8/1 x 6/1= 48

3. 7 / 1/10
7/1 x 10/1=70

4. 18/ 2/3
18/1 x 3/2 = 54/2
54/2= 27





1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

Answer :
1. The cheetah is faster

2.
1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

I hope this helped and that I was right, have a nice day.

I really need help right now someone help pls!!!

Answers

the answer would be 120 degrees

I NEED HELP WITH THIS EQUATION

Answers

Answer:

Hello! answer: 2/5

Step-by-step explanation:

3 ÷ 7 = 0.428571428571

2 ÷ 5 = 0.4

Therefore 3/7 is bigger then 2/5 Hooe that helps!

5 (2n - 3) = 105 solved algebraically

Answers

Answer:

n = 12

Step-by-step explanation:

5 (2n - 3) = 105

2n-3 = 105/5

2n = 21+3

n = 24/2

n = 12

Answer:

is the answer to your thing

n=12

Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )

Answers

Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

Complete the table and estimate the limit

Answers

Answer:

[tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

Step-by-step explanation:

If x=-0.1, then f(x)=0.2247361538

If x=-0.01, then f(x)=0.2237187131

If x=-0.001, then f(x)=0.2236179792

If x=0.001, then f(x)=0.2235956185

If x=0.01, then f(x)=0.223495106

If x=0.1, then f(x)=0.2224998063

We can see that as x approaches 0, we see that f(x) gets closer to √5/10

Therefore, [tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

What’s the answer to this?

Answers

Answer

Where is the graph?

Step-by-step explanation:

To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers

Answers

D.

D. natural numbers, whole numbers, and integers

james says 5/5 is greater than 9/10 is james correct explain

Answers

Answer:

James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.

Answer:

Yes.

Step-by-step explanation:

5/5 = 1.

9/10 = 0.9 < 1.

Rewrite 3* = 243 as a logarithmic equation.

Answers

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

Crowned Brainly and will have 10 points. EMERGENCY!

Answers

Answer:

324ft^2

Step-by-step explanation:

rectangle: 22ft X 12ft = 264ft^2

trapazoid: 1/2(22+8)4 = 60ft^2

264 + 60 = 324ft^2

hope this helped!! :D

tell me if you need further explaination!

The volume of a rectangular prism is 945 ft. If it has a length of 15 ft and a width of 9 ft, what is
its height?

Answers

Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

Marissa goes to the beach and places a mirror on the ground so when she looks down at it she can see the reflection to the top of the tree. Marissa is 5.5 feet tall. She stands 7 feet from the mirror. The mirror is 28 feet from the tree. How tall is the tree?

Answers

Answer:

69 feet

Step-by-step explanation:

took quiz

Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all. 25 returned to choices list. 33.6252768.48 Expression Value of the Expression [ 4 × ( 4 + 3 ) ] − 3 [ ( 7 − 5 ) ÷ 1 2 ] × 2 ( 5 . 4 + 3 ) × ( 6 − 2 ) [ 9 ÷ 3 + 6 ] × 3 ( 4 + 3 . 2 ) × [ ( 9 − 2 ) + 2 . 5 ]

Answers

Answer:

[tex]-62024.48[/tex]

Step-by-step explanation:

Given

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]

Solve the expressions in the inner brackets

[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

Solve all divisions

[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]

[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]

Multiply through

[tex]28- 62052.48[/tex]

[tex]-62024.48[/tex]

1/2 cm +1/2 cm +3/4 cm +3/4 cm

Answers

Answer:

3 1/2cm

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?

Answers

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years

Answers

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

Pls help with trig ✋

Answers

Step-by-step explanation:

From Pythagorean theorem

x^2 = (10)^2 - (8)^2 = 36 or x =6

sin theta = opp/hyp = 6/10 = 3/5

cos theta = adj/hyp = 8/10 = 4/5

tan theta = opp/adj = 6/8 = 3/4

cot theta = 1/tan theta = 4/3

sec theta = 1/cos theta = 5/4

csc theta = 1/sin theta = 5/3

You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella

Answers

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Leaving a 20% tip on a $45 bill? What is the Total Bill amount?

Answers

Answer:

Bill: $45.00

Tip: $9.00

Total: $54.00

Step-by-step explanation: Hope this helped!!!!!!!!!!!!!

Well $9 is the tip.

Translations and reflections

Answers

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

find the value of x and show your steps

Answers

Answer:

x = 4

Step-by-step explanation:

The image provided below, I find very helpful when trying to solve difficult problems such as this one.

We use the same relationship, the only difference is we are given expressions and numbers for the segments

If the product of the segments in one chord equal the product of the segments in the other chord then,

x * 6 = 8 * ( x - 1 )

Or 6x = 8 ( x - 1 )

Now we solve for

Step 1 distribute the 8

8 * x = 8x

8 * -1 = -8

We now have 6x = 8x - 8

step 2 subtract 8x from each side

6x - 8x = -2x

8x - 8x cancels out

we now have -2x = -8

step 3 divide each side by -2

-2x / -2 = x

-8 / - 2 = -4

we're left with x = 4

Rays PQ and PS are perpendicular to each other.

What is the measure of LRPS plzzzzz

Answers

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.

To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, that Leona burns while boxing with heavy gloves?

c[b(t)] = 467.5t
c[b(t)] = 426.1t
b[c(t)] = 467.5t
b[c(t)] = 426.1t

Answers

Answer:

C. b[c(t)] = 467.5t

Step-by-step explanation:

No step-by-step explanation, nobody pays attention to them anyway.

Answer:

the answer is C. b[c(t)] = 467.5t give the person above this answer brainly, they got here first and deserve it.

will mark brainliest

Answers

Answer:

25 un²

Step-by-step explanation:

Formula = 1/2(b x h)

Base = 10

Height = 5

1/2( 10 x 5) = 1/2 (50) = 25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]25 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{(10 \times 5)}{2} = 25[/tex]

Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point

Answers

Answer:

I cant remember this

Step-by-step explanation:

i cant remember

Answer:

Hello! answer: 45, 20, 15, 11, 36, 8, and 5

Step-by-step explanation:

Data set I created: 45, 20, 15, 11, 36, 8, and 5

It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps

Other Questions
Which document states that our unalienable rights include life liberty and the pursuit of happiness Which Chinese thinker based his teachings on the idea that people should live in harmony with nature?A) ConfuciusB) Zheng HeC) Chiang Kai-shekD) Laozi MIRCOLES 19 FORMACIN CVICA Y TICADESAFOS DE NUESTRA COMUNIDADLee y contesta con la informacin de tot libero pg. 136-1381-S observamos con curiosidad nuestro entorno, podremos identificar algunesproblemas, como los relacionados con la.clinediolos servicios de.vivienda a laEstas y otras dificultades impactan avestra familia yy requieren de lade todospara enfrentarlas.2-un problema se convierte en cmwanda tenemos el nimo deresolverlo Entonces, lo identificamos, iragmamosposibles,proponemos, vos organizamos y participarros activamente paraEn algo postivo para todos.3-Luc en tu libro bs casos que se presentan en las imgones y contesta.Alcudes el problema?B) Cmo puede solucionariAlles drown?) Cmo tese selachi'?4-Cuando identificanos problemos en ladonde viviros esnecesariopor qu ocurren y cmo los podemos resolver, puestales dificultades son verestro La nesesito en 5 mini WILL MARK BRAINLIST IF ANYONE HELPS ME GET THIS RIGHT!1.) The global financial crisis of 2008 was caused by:A.) an increase in subprime lending.B.) the bursting of the U.S. housing bubble.C.) excessive debt among Americans.D.) All of these choices are correct. factor the following expression 5x^5-3x^2-10x^3+6 You work on a problem calculating either area or volume. Your answer is 210 ft3. Did you work on an area or volume problem? Please help this is a 7th grade science problem What happens when the mostlimiting factor in an ecosystem isremoved? Define and Describe the Final Solution. Please use your own words! How long are the events of The Tempest?A. One weekB. One afternoonC. Six monthsD. Three days I need some help!! I will try to give brainliest!!! which of the following best defines unbalanced forces? A. Forces that act in opposite directions and cancel each other out B. Unequal forces that do not cancel out but cause a change in motion c. Foroes between two objects in physical contact D. The total force on an object after individual forces are added togethe Plz help me well mark brainliest if correct..???? Part AWhich claim does President Obama make in excerpt from "President Barack Obama's State of the Union Address"?Average wages have gone up in recent years and lessened inequality.The United States needs to better prepare for the twenty-first century.The country has the highest unemployment rate in five years.US citizens play a critical role in strengthening the state of the union.Question 2Part BWhich evidence is most relevant to supporting the answer to Part A?"The cold, hard fact is that even in the midst of recovery, too many Americans are working more than ever just to get bylet alone to get ahead. And too many still aren't working at all.""Today in America, a teacher spent extra time with a student who needed it and did her part to lift America's graduation rate to its highest levels in more than three decades.""And for the first time in over a decade, business leaders around the world have declared that China is no longer the world's number one place to invest; America is.""As president, I'm committed to making Washington work better, and rebuilding the trust of the people who sent us here. And I believe most of you are, too." we left the stadium and went home quite dejected. All of the fans were so sad about the home team'sloss that they barely said a word during the ride home.Fill in the blank with the correct phrase or clause,A)The game endedB)Because the game endedAfter the game endedDThe game was overWhich is the best version of this sentence? Which of the following voice-mail greetings would be best received by potential employers?A."Leave a message. I will think about calling you back."B."I am not available to take your call right now. Please leave your name, number, and a message and I will return your call."C."Hello. Hello. I can't hear you. Please speak up."D."This is Sam. I can't take your call right now. Leave your info and I will catch you later." iron is ...... useful metal limited resources on the galapagos islands result in? What song is this and who is the Artist?Steady callin' my phoneI done told you before that it's over, leave me 'loneKnow it's hurtin' you to see me goneDark clouds, you gon' see me stormI won't go backBut trust me, you're gon' hold thatHold that (mmh, mmh)Get you off my mind nowI can't get you off my mind nowI can't get you off my mind nowI can't get you off my mind now (mmh, mmh)I can't get you off my mind nowI can't get you off my mind nowI can't get you off my mind nowI can't get you off my mind now (mmh, mmh)I ain't tryna play these game no moreI don't wanna be textin' your name no moreI ain't tryna feel this pain no moreAnd I'm sorry but my feelings ain't the same no more (no)Used to be my homie, you ain't gang no more (no)I am not a n*gga you could claim you no more solve the equation 20d+2=0