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


Which table does NOT represent a linear function?

Answers

Answer:

table 4 does NOT represent a linear function

Step-by-step explanation:

HOPE IT HELPS ❤❤❤❤❤

Answer:

it's the one with 15,18,20,21

Step-by-step explanation:

Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant

How much interest is earned when the principal amount is $250, the annual simple interest rate is 1%, and the number of years is 10? (

Answers

Answer:

240.1

Step-by-step explanation:

Which is the net for this rectangular prism?

Answers

Answer:

probably c

Step-by-step explanation:

Plz Plz plzzzzzz answer​

Answers

Answer:

c i think

Step-by-step explanation:

also i like anime to!

Answer:

c I think I might be wrong tho

HelP I have to turn this in tomorrow!!!

Answers

Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

$7.22/ft² (Verified Answer) ✅

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

Solve for x and show your work.
12 = -4(-6x - 3) HELP​

Answers

Answer:

12= (24x+12) 0=24x Hope this helps

Answer:

x=0

Step-by-step explanation:

The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters

Answers

Answer:A=452.16

Step-by-step explanation:

A=π·r²

A=3.14·12²

A=3.14·144

A=452.16

use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots.​ must be right ty helppp asap

Answers

Answer:

[tex]k>-3[/tex]

Step-by-step explanation:

We have the equation:

[tex]-3x^2-6x+k=0[/tex]

Where a = -3, b = -6, and c = k.

And we want to determine values of k such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

[tex]b^2-4ac>0[/tex]

Substitute:

[tex](-6)^2-4(-3)(k)>0[/tex]

Simplify:

[tex]36+12k>0[/tex]

Solve for k:

[tex]12k > -36[/tex]

[tex]k>-3[/tex]

So, for all k greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If k is equal to -3, then we have two equal roots.

And if k is less than -3, then we have two complex roots.

Which of the following explains why space objects are massive in size?

Icy and gaseous material was pushed out by the sun's heat.

Hydrogen atoms fused to form helium due to high pressure.

Large objects clumped together due to gravity to form larger objects.

Large objects were broken apart due to gravity to form fine stellar dust.

Answers

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.

12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.​

Answers

Answer:

VY = 16

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

VY: YX = 2: 1

∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ VY × 1 = YX × 2

VY = 2YX

∵ YX = 8

∴ VY = 2(8)

VY = 16

A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?

(A) 4/5

(B) 9/4

(C) 9/13​

Answers

Answer:

(C) 9/13

Plzzzzz give me Brainliest!!!!!  

Answer:

C. 9/13

Step-by-step explanation:

It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously

You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?

Answers

Answer:

200

Step-by-step explanation:

There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)

A) 35 B) 30 C) 16 D) 17

please show how

Answers

Answer:

Answer: 35

Step-by-step explanation:

five out  of every eight are carrying suitcases, so muiltiply  5/8 times 56 to get 35

please answer this question I would highly appreciate it if it was answered or looked on, please

Answers

Answer:

The correct answer would be C

Step-by-step explanation:

2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)

Answers

Answer:

yes the both have all the same angles

Step-by-step explanation:

180-90=90

90-35=55

these triangles are not similar because although they are the same shape, they are not the same size.

In the figure, AC is perpendicular to DB.

Which of the following statements is TRUE?​

Answers

Answer:

B. Angle 5 and Angle 6 are complementary

Step-by-step explanation:

Definition of complementary- either of two angles who sum is 90°

As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.

Angle DOC = 90°

Angle DOC = Angle 6 + Angle 5

Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.

Good luck!

Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries

Answers

Answer:

6 x 2 = ?

6 x 2 = 1 2

Step-by-step explanation:

6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .

12 is the answer for this question

What is the slope of the line ?

Answers

Answer:

1/2

Step-by-step explanation:

You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.

In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?

Answers

Answer:

$27.30

Step-by-step explanation:

$4.80×5=$24.00+$3.30=$27.30

Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be

Answers

Answer:

24 miles UwU

Step-by-step explanation: G'day mate!

There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?

Answers

Answer:

by taking Hcf of 96 and 72 we get 4 so each team have 4

'24' teams can be made with each team having 4 girls and 3 boys.

Given that,

No. of girls = 96

No. of boys = 72

Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.

96 = 2 * 2 * 2 * 2 * 2 * 3

72 = 2 * 2 * 2 * 3 * 3

GCF = 2 * 2 * 2 * 3 = 24

Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:

No. of girls in each team = Total girls/no. of teams

= 96/24

= 4 girls

No. of boys in each team = Total boys/no. of teams

= 72/24

= 3 boys

Thus, each team will have 4 girls and 3 boys.

Learn more about 'Greatest Common factor' here:

brainly.com/question/1983426

Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection

Answers

yea the answer is reflection

The type of transformation that's shown in the figure on the left is; reflection

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,

A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.

The answer is; reflection

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ6

i will give brainiest to whom answers correct and the fastest and a thanks

Answers

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

Which statement about these triangles is true?​

Answers

The statement that is true is the preimage

complete the sequence. 4,20,100,500

Answers

Answer:2500, 125000

Step-by-step explanation:

Multiply by 5

3/5+1/3= ...............................................................................................................

Answers

Answer:

Step-by-step explanation:

you add two fractions:

3/5+1/3=

find the common denominator = it is 15 (3*5)

9/15+5/15=14/15

Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?

Answers

Answer:

53

Step-by-step explanation:

You need the perimeter, which is all sides added together

Answer:

53

Step-by-step explanation:

Perimeter= w+w+h+h

w=width

h=height

w=14.5

h=12

12+12=24

14.5+14.5=29

29+24=53

Which expression is equivalent to V8x7y8 ?

Answers

Answer:

the third one

Step-by-step explanation:

the answer is C!
good luck!

A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?

Answers

Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

Find the difference (6d+5)−(2−3d)

Answers

Answer:

9d+3

Step-by-step explanation:

(6d+5)-(2-3d)= cancel out parentheses

6d+5-2+3d= Commutative property of addition

6d+3d+5-2= Group like terms

(6d+3d)+(5-2)= Combine like terms

Answer = 9d+3

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