Linda's account balance can be modeled using linear function She deposits the same amount into her savings account each month Her balance 11 months saving is $50890 balance after 2 years of saving is $1056 statement is TRUE?

Answers

Answer 1

Answer:

The statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, and the amount she withdraws every month is approximately $3,833.4

Step-by-step explanation:

The amount Linda saves after 11 months = $50,890

The amount she has in her balance after 2 years = $1,056

Let the equation representing how much Linda saves, 'y', be represented as follows;

y = m·x + c

Where;

x = The number of months

c = Her initial balance (her first deposit)

m = The amount she saves each month

When x = 11, we have;

50,890 = 11·m + c...(1)

When x = 24 (2years), we have;

1,056 = 24·m + c...(2)

Subtracting equation (1) from (2) gives;

1,056 - 50,890 = 24·m - 11·m + c - c

-49,834 = 13·m

m = -49,834/13 ≈ -3,833.4

Therefore, the amount she deposit (withdraws) every month = ($3,833.4)

Therefore, the statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, she is withdrawing from her balance every month based on the given account balance.


Related Questions

Which of the following is the graph of f(x) = 3x - 4[ + 1?

Answers

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

A new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.

Which equation shows this relationship?
A. 3y = x
B. y = x + 3
C. y = 3x
D. y + 3 = x


PLEASE HELP I'LL GIVE YOU 15 POINTS

Answers

Answer:

C. y=3x

Step-by-step explanation:

I got it correct on my assignment.

20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)

Answers

Answer:

I'll do the dilation for the first point and you will see the answer (please verify the second point)

Step-by-step explanation:

The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.

so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.

so the dilated point for (-4,-4) is (-14, -14)

Please verify by computing the dilated point for (-6,4)

which situation can be represented by 17.35x > 624.60?

Answers

Answer:

IF this is a choice, it is correct:

Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?

Step-by-step explanation:

Pedro measured a swimming pool and made a scale drawing. The pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. What scale did Pedro use for the drawing?

Answers

Answer:

The scale that Pedro used for the drawing is: 17:600.

Step-by-step explanation:

A scale of a drawing is expressed as: Drawing length:actual length.

Since you know that the pool is 119 centimeters long in the drawing and 42 meters long in real life, first you have to find  the cm in 42 meter taking into account that 1 meter is equal to 100 cm:

1 m     →    100 cm

42 m   →          x

x=(42*100)/1

x=4200 cm

Now, the scale would be:

119:4200

Finally, you need to simplify and you can do it by dividing each number by 7:

17:600

According to this, the answer is that the scale that Pedro used for the drawing is: 17:600.

John worked 43 hours last week; his hourly rate is $9. He has the following deductions taken from his pay: Social Security tax of $25, Medicare tax of $6, health insurance premiums of $15, and savings account contribution of $50. What is John’s net pay?

Answers

Net pay just means what you earned minus the fees

43 * 9 = 387
25+6+15+50 = fees = 96
387 - 96 = 291

The eighth grade class at Washington Middle School is raffling off a turkey
as a money making project.
If the turkey cost $22 and raffle tickets are sold for $1.50 each,
how many tickets will have to be sold for the class to break
even?

Answers

Answer:

i dont know like 14?

Step-by-step explanation:

(Pls help i need this ASAP I got 10 min left) Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.

Answers

Answer:

yes it's a refelction over the line f  (C)

Step-by-step explanation:

so c is correct

Answer:

It's a reflection over line F

Step-by-step explanation:

If it was a reflection over line x you would see A'B'C'D' upside down but it's not, and if it was reflected across the y it would be the same exact shape but with letters in different spots.

1 + 7^2


Ima be asking more questions be ready my amigos

Answers

Answer:

50

Step-by-step explanation:

Decimal Form:

0.02040816

Hope this helped, and please mark as Brainliest <3

The compact disc format has been declining in popularity, and one music executive has predicted that CD sales will decrease by 20% per year. If the executive's company sold 29,000,000 CDs this year, how many will the company sell 9 years from now?

Answers

Answer: 3,892,314 CDs

Step-by-step explanation:

You can find this using the future value formula:

Future value = Amount * ( 1 + rate) ^ number of years

Amount = 29,000,000

Rate = -20% because it is decreasing

Number of years = 9

CDs sold in 9 years will therefore be:

= 29,000,000 * ( 1 - 20%) ⁹

= 3,892,314 CDs

Which value from the set {2, 3, 6, 7} makes 3x + 5 = 11 true?

Answers

Answer:

2

Step-by-step explanation:

3 x 2 = 6 + 5 = 11

Can i  have brainllest

Answer:

{2}

Step-by-step explanation:

Testing out all values:

[tex]3(2)+5=11\\\\6+5=11\\\\\boxed{11=11}[/tex]

The value of 2 works for the equation given.

All other values do not work, as we will result in a contradiction.

[tex]3(3)+5=11\\\\9+5=11\\\\14\neq 11\\\\\\3(6)+5=11\\\\18+5=11\\\\23\neq 11\\\\\\3(7)+5=11\\\\21+5=11\\\\26\neq 11[/tex]

Hope this helps you.

,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

what exactly is this question

Step-by-step explanation:

Write the expression in Distributive Property form (as a Distributive Property problem). 39d - 13e + 195g

Answers

Answer:

13(3d - e + 15g).

Step-by-step explanation:

Distributive property example,

a(x + y + z) = ax + ay + az

By this property we have to convert the given expression into a distributive property form.

39d - 13e + 195g

Take the common factor out from each term of the expression,

39d - 13e + 195g = 13(3d - e + 15g)

Therefore, distributive property form of the given expression is 13(3d - e + 15g).

I’m circle a shown, secant de and tangent dg are drawn. It is known that angle bac equals 72 degrees and arc be equals 96 degrees

Answers

Answer:

[tex]m(BC) = 72^\circ[/tex]

[tex]m\angle EBC = 168^\circ[/tex]

Step-by-step explanation:

Given

[tex]m\angle BAC = 72[/tex]

[tex]m(BE) = 96[/tex]

See attachment for circle

Required

Determine

(a) Measure of BC

(b) Measure of EBC

(a) Measure of BC

From the attachment, we can see that:

[tex]m(BC) = m\angle BAC[/tex] because they belong to the same sector

This gives:

[tex]m(BC) = 72^\circ[/tex]

(b) Measure of EBC

From the attachment, we can see that:

[tex]m\angle EBC = m(EB) +m(BC)[/tex]

Where

[tex]m(EB) = m(BE) =96^\circ[/tex]

So, we have:

[tex]m\angle EBC = 96^\circ + 72^\circ[/tex]

[tex]m\angle EBC = 168^\circ[/tex]

Polly surveyed 850 teenagers to find out their type of music. She found that 32% of the teenagers surveyed like hard rock.

Part A:How many teenagers that surveyed like hard rock?(show your work)

Part B:In another survey, Damian found that 75% of the total number of teenagers like pop music if 150 teenagers like pop music what is the total number of teenagers that damian surveyed (show your work)

Part C:Give an example of sitiuation in which a percentage is greater than 100%(show you work)

Whoever anwsers EACH part and shows explanation will be marker the BRAINLIEST

Answers

Answer:

PART A:

272 teenagers that like hard rock music.

You need to find 32% of 850. To do so, you multiply .32 or 32% (same thing) by 850. 850 x 32% = 272

PART B:

175 students surveyed.

They tell us that 75% of students is 150. We need to find the remaining 25% because 75% + 25% = 100% and 100% is the total amount we need or just a whole. 25% of 100 is 25. We find this by multiplying .25 by 100. We add the 75% or 150 plus the 25% or 25 to get 175

PART C:

Your weekly allowance in 15$ but one week you do extra chores giving you 5 more dollars. This adds 5 more percent because 5% of 100 is 5 (found by multiplying .05 x 100) . This makes a total of 105%.

Please mark brainliest

have a nice day!!

Of the 100 snakes on display at the nature center, 30% were venomous. How many of the 100 snakes were venomous?
HURRY PLEASE

Answers

Answer:

There are 30 venomous snakes.

Step-by-step explanation:

Since its 30% you can assume that its a total of 100%. So, 100 snakes would be 100%. So the total of venomous snakes are 30 total snakes. Hope this helped!! :D

The price of an item has risen to $261 today. Yesterday it was $180. Find the percentage increase

Answers

Answer:

45%

Step-by-step explanation:

A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on the map?

Answers

Answer:

The two buildings would be 9/16 inches apart on the map

Step-by-step explanation:

Here, we want to get the distance between the two buildings

Let the us be x

From the question;

3/4 in = 80 miles

x in = 60 miles

x * 80 = 60 * 3/4

80x = 45

x = 45/80 = 9/16 in

Solve
7w - 5 < 1 - 3w
can someone help me ?​

Answers

Answer:

w < 0.6

Step-by-step explanation:

In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.

7w - 5 < 1 - 3w

Inverse operations,

7w - 5 < 1 - 3w

+3w          +3w

10w - 5 < 1

     +5    +5

10w < 6

/10     /10

w < 0.6

Answer:

0.6

Step-by-step explanation:

7w - 5 < 1 - 3w

get "w" all on one

7w + 3w - 5 < 1

7w + 3w < 1 + 5

10w < 6

w < 6/10

w < 0.6

20.
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

A(n)=-6+(n-1)([tex]\frac{1}{5}[/tex])

A. –6, [tex]-5\frac{2}{5}[/tex], [tex]-4\frac{1}{5}[/tex]

B. 0, [tex]\frac{3}{5}[/tex], 1[tex]\frac{4}{5}[/tex]

C. –6, -5[tex]\frac{1}{5}[/tex], -4

D. 5, -5[tex]\frac{1}{5}[/tex], 1[tex]\frac{4}{5}[/tex]

Answers

Answer:

A. –6, ,

Step-by-step explanation:

answer is D. -6, -5 2/5, -4 1/5

A(1)=-6+(1-1)(1/5) = -6 + 0 = -6

A(4)=-6+(4-1)(1/5) = -6 + 3/5 = - 5 2/5

A(10)=-6+(10-1)(1/5) = -6 + 9/5 = -4 1/5

......................................................

...................................................................................................................................................

Find the measure of the indicated arc

Answers

Answer:

m[tex]\widehat{WXY}[/tex] is 224°

Step-by-step explanation:

From the figure, we have;

The angle subtended at the circumference, by the arc mWXY, C = 112°

The angle subtended at the center = m[tex]\widehat{WXY}[/tex]

By circle theory, we have;

The angle subtended at the center = 2 × The angle subtended at the circumference

∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°

m[tex]\widehat{WXY}[/tex] = 224°.

26. Find the Rate when given the Interest.
Interest: $480
Principal: $1600
Time: 6 years *
(1 Point)
5%
0.05%
20%
2.0%

Answers

Answer: 5%
Explanation: Use the formula I=prt
Since we do not have the rate, but we have the interest, we plug in everything and try to solve for r (the rate).
480=(1600)(r)(6). To get r alone, we divide out the 6 and 1600. This leaves us with our answer to be r = 0.05. Although this is not in a percentage and we would need it to be, so we would have to multiply it by 100. This gives our percentage to be 5%.

What is the least common denominator for 1/6 and 3/8​

Answers

Answer:

24

Step-by-step explanation:

bc if you were to find what the fractions were before they were simplified, it would be 4/24 (for 1/6) and 9/24 (for 3/8)

The least common denominator for  1/6 and 3/8​ is 24.

What is the least common denominator?

When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.

Given, two fraction numbers 1/6 and 3/8​

We need to find the least common denominator of them. for that,

We will take the LCM of the denominator of both factors.

LCM of 6 and 8 = 24

Therefore, for fractions 1/6 and 3/8​, 24 is the least common denominator.

Learn more about denominator here:

https://brainly.com/question/16977129

#SPJ2

Three rare coins with diameters of 7/8 inch, 3/4 inch, and 5/8 inch are mounted in a rectangular frame, as shown in the diagram below. What is the perimeter of the frame if the coins fit exactly?

Answers

Read this sentence.
The frog jumped across the pond, it landed on a lily pad.
Identify the choice that corrects the comma splice in this sentence.
O The frog jumped across the pond it landed on a lily pad.
O The frog, jumped across the pond, it landed on a lily pad.
O The frog jumped, across the pond, it landed on a lily pad.
O The frog jumped across the pond, and it landed on a lily pad.



Teru burned about 1,000 calories downhill skiing before lunch. If she plans to ski

for a total of 5 hours today, how many hours will she ski after lunch?

Answers

Answer:

3.3333 hours

Step-by-step explanation:

From the attached table :

Downhill skiing for 1/6 hours ; results in 100 calories burn

To burn 1000 calories :

Skiing hours required :

(1000 / 100) * (1/6)

10 * 1/6 = 10 /6 hours

Planned skiing hours = 5

Number of skiing hours after lunch will be :

5 hours - 10/6 hours

5 hours - 1.6666 hours

= 3.3333 hours

Is 9, 16, 23, 30, an arthmetic sequence

Answers

Answer:

Yes

Step-by-step explanation:


[tex] {2}^{2n} \times {2}^{n} \times \frac{2}{16} n[/tex]
solve it without any links. I don't want any links..​

Answers

Answer:

[tex] \frac{n \times {2}^{3n} }{8} [/tex]

Step-by-step explanation:

1) Take out the constants.

[tex] \frac{2}{16} \times {2}^{2n} \times {2}^{n} n[/tex]

2)Simplify 2/16 to 1/8.

[tex] \frac{1}{8} \times {2}^{2n} \times {2}^{n} n[/tex]

3) Use Quotient rule: x^a/x^b = x^a-b.

[tex] \frac{ {2}^{2n + n} }{8} [/tex]

4) Simplify 2n + n to 3n.

[tex] \frac{ {2}^{3n} n}{8} [/tex]

Hence, the answer is 2^3n n/8

Need help with this question

Answers

Answer: Well you would have to look at the options in the drop down and then find the terms and others

Step-by-step explanation:

Don’t need to show work

Answers

Answer:

44

Step-by-step explanation:

Plz help I’ll give brainliest

Answers

Answer:

1: X = 4

Step-by-step explanation:

2 times 4 equals 8 minus 1 equals 7.

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