Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.

Answers

Answer 1

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.


Related Questions

Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.

Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?

Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Answers

Answer:

No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020

Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?

Answers

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

C=242 use 22/7 as pie find the radius ​

Answers

Answer: r=38.5

Step-by-step explanation:

Use circumference equation 242=2(22/7)r

(5, -7)
(10, 5)
2
5+

Answers

Answer:

Whats the Question

Step-by-step explanation:

This doesn't make sense

The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.

Answers

Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.

The graph shows the distance Julie walks over time. Does she walk at a constant or variable
speed? How fast
is Julie walking?

a. variable speed; 8 mi/h
b. constant speed; 2 mi/h
c. constant speed; 4 mi/h
d. constant speed; 8 mi/h

Answers

She’s walking at a constant speed of 4 mi/h so the answer is B.

PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER

-2(y+4)-2y >8

Answers

Answer:

-2(y+4)-2y >8

-2y-8-2y>8

-4y-8>8

-4y<8+8          

When you move a number on the other side it changes the side then > will become <

-4y<16

-4y/-4<16/-4

y<-4

Plss help this is due tmrr

Answers

Answer:

1) 17.80

2) 25.09

Step-by-step explanation:

1) From the diagram,

Opposite = x

Hypotenuse = 22

Angle of elevation = 54°

According to SOH trigonometry identity

sin theta = opposite/hyp

sin 54 = x/22

x = 22sin54

x = 17.798

Hence the value of x is 17.80 to the nearest hundredth

2) Opposite = 11

hypotenuse = x

Angle of depression = 26°

sin 26 = opp/hyp

sin 26 = 11/x

x = 11/sin26

x = 11/0.4384

x = 25.09

Hence the value of x to nearest hundredth is 25.09

plz help meee 2 more problems and I am done

Answers

Answer:

Step-by-step explanation:

Figure 1,

EA and EB are the opposite rays.

EC bisects angle FEG.

a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]

   (2x + 6) = [tex]\frac{1}{2}(40)[/tex]

   2x + 6 = 20

   2x = 14

   x = 7

b). ED⊥AB

   Therefore, m∠AED = 90°

    m∠AED = 11y + 13 = 90°

    11y = 90 - 13

    11y = 77

    y = 7

Figure 2,

NC bisects ∠WNB,

Therefore, ∠WNC ≅ ∠CNB

m∠WNC = m∠CNB

3v - 4 = 2v + 6

3v - 2v = 4 + 6

v = 10

Therefore, m∠WNC = x = (3v - 4)

x = 3(10) - 10

  = 30 - 10

x = 20

so like imma ask dis one more time

Answers

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present

Answers

Answer:

which question is this referred to?

What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help

Answers

ANSWER: -1/4

EXPLANATION:

4x-y=9

y=4x-9

(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)

(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient

So, m1 x 4= -1

    m of perp line= -1/4

Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22​  Equation

Step 2

(-4x-3)-(7x-3) =22​  Simplify

-11x=22

Step 3

-11x=22  Divide

Answer

x=-2

Now we have to,

→ find the required value of x.

Then the value of x is,

→ (-4x - 3) - (7x - 3) = 22

→ -4x - 3 - 7x + 3 = 22

→ -11x + 0 = 22

→ x = -22/11

→ [ x = -2 ]

Thus, the value of x is -2.

An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?

Answers

15-8=7 um it’s just subtraction :|

Answer:

7

Step-by-step explanation:

15 - 8 = 7

Multiply (3+b) × (4+2b)​

Answers

(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=

=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=

=2(b^2+5b+6)

20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.

Answers

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

Help if you know the answer it due ASAP

Answers

Answer: ∠2 and ∠7

Step-by-step explanation:

Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.

Hope I helped!

Which of the following rational functions is graphed below?

Answers

Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]

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

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]

The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet

Answers

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

Translate the phrases to algebraic expressions.

The sum of 8 times a number and 3

Answers

Answer:

8x+3

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.

Answers

rotate the hexagon so the sides line up to make it easier

then set up a proportion

x/x+1 = 10/30
30x = 10x + 10
20x = 10
x = 1/2

Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46

Answers

Answer:

A  B  D

Step-by-step explanation:

A 38+4=42

B 4+15=19

C 18= 20-2

D 32= 36-4

E 52-6=46

The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?

Answers

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.

Find the vault of each variable

Answers

Answer: x = 13 and y = 13sqrt(2)

Explanation:

Since it’s a 45-45-90 degree triangle

The two lengths are equivalent to each other and the hypotenuse is equal to the length multiply by sqrt(2).

Thus x = 13 and y = 13sqrt(2)

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answers

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

Write an inequality for the graph. pls help ​

Answers

It’s less than or equal to because the circle is closed and it’s pointing to the left so it’s the less symbol with an underline.

Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

write an equation in slope-intercept form for this line.

Answers

Answer:

y = - 8x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 8, then

y = - 8x + c ← is the partial equation

To find c substitute (- 1, 4 ) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y = - 8x - 4 ← equation of line

She said I drove her away with my emotions

Answers

Then be emotionless or just don’t change for someone who doesn’t even want you. Know your self worth

A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answers

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet

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