Natalie and her sister opened a savings account at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account that her sister?

Answers

Answer 1

Answer:

6 months

Step-by-step explanation:

We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75


Related Questions

When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be

Answers

The equivalent fractions will be 12/30 and 25/30

Given the fraction 2/5 and 5/6

Their respective denominator are 5 and 6

To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5

For the deniminator of 5, the equivalent denominator is (5*6) = 30

For the denominator of 6, the equivalent denominator is (6*5) = 30

Equivalent fraction for 2/5 = 2/5 * 6/6

Equivalent fraction of 2/5 = 12/30

Equivalent fraction for 5/6 = 5/6 * 5/5

Equivalent fraction of 2/5 = 25/30

Hence the equivalent fractions will be 12/30 and 25/30

Learn more on fractions here: https://brainly.com/question/17743912

which one of the congruency statements are true?

Answers

Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

Finding the limit on Mathematica. How do I type this in Mathematica?

Answers

See the documentation for the Limit symbol for more info.

i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]

ii. For a one-sided limit, is the Direction option.

Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]

The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.

-3, -8, -13, -18,.. Find the nth term

Answers

Answer:

The nth term of the sequence is -5n + 2 (or 2 - 5n)

Answer:

[tex]a_{n}[/tex] = - 5n + 2

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 5 , then

[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2

Wind forms desert pavement through ___.

A. sublimation
B. random acts of kindness
C. deposition
D. erosion

Answers

Answer:

D. erosion

Step-by-step explanation:

The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.

how long is the shadow the tree casts?

Answers

Anwser: 12 feet long

Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)

Answers

Answer:

0.014

Step-by-step explanation:

Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation

Answer:

Knewton as of May 15, 2022 8.70%

Step-by-step explanation:

thanks in advance big boys​

Answers

Answer:

The answer is sides are congruent by the reflexive property

Step-by-step explanation:

The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.

Sorry for any gramatical or spelling mistakes!

You make ​$85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k​ plan, up to ​%5 of your salary. If you contribute ​$300
every month to your​ 401k, what will your company contribute each​ month?

Answers

Answer:

$150 each month

Step-by-step explanation:

divide 300 in half because they contribute 50¢ per dollar

I am good at reading not math I need help please

Answers

Step-by-step explanation:

the answer is attached

I Hope This Help

How is sin 10° = cos 80°??​

Answers

Check the picture below.

Answer:

See below.

Step-by-step explanation:

Location is Q1

Angle is less than 90

cos Ф = sin(90° - Ф)

cos 80° = sin (90° - 80°)

cos 80° = sin 10°                set your calculator in degree mode

Check

cos 80° = 0.1736481777

sin 10° =  0.1736481777

Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?

A. 25
B. 30
C. 75
D. 83

Answers

Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times

Step-by-step explanation: Please mark brainliest

Answer:

75 -- i think

Step-by-step explanation:

let me know if im right.

Find the equation of the line shown below
Y=mx+c

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

1. First you find m. Because the line is slanting downwards, you know it is negative. Then you can find the number by looking at the rise over run (rise/run). We can go up 1 (rise) and then to the side 4 (run). We go to the right side 4 because that is where the line intersects with up 1. So because the rise goes over the run, the number would be 1/4. But remember that it is negative so m = -1/4

2. Now we have to find c. For this you just have to go up or down the y-axis until you find the point where it intersects with the line. On this graph it intersects on positive 2. So c = + 2

Translate the sentence to an equation. Then solve and check.

3/4 of a number is equal to 36.

The equation is [?] . (Type an equation using x as the variable.)


The solution is x= [?] . (Simplify your answer.)

Answers

Suppose that x is that number thus:

[tex] \frac{3}{4} x = 36 \\ [/tex]

Multiply both sides by 4

[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]

[tex]3x = 144[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]

[tex]x = 48[/tex]

There u go...

Have a great day ❤

Step-by-step explanation:

3/4 of x=36

the equation is algebra

3/4×x=36

3/4x=36

36×4/3

=28

Why are integers rational numbers

Answers

Answer:

Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).

Step-by-step explanation:

Skajekjejejwjejekwjkekekekejeje

Answers

Answer:

Skajekjejejwjejekwjkekekekejeje!!!

Step-by-step explanation:

Answer: lollllll , ?????

Step-by-step explanation:

trevin puts 8 gallon of gas

Answers

Answer:

good for trevin?

Step-by-step explanation:

we'll need more to go on haha

If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Answers

Step-by-step explanation:

q is inversely to p and we need to add k as the constant..

then find value of k by sub the value of p and q

after that sub the value of k and p to find q

Solve for the value of p.
(6p-2)

(3p-7)|

Answers

Answer:

The sum of angles on a straight line is 180 degrees.

Therefore,

[tex](6p-2)+(3p-7)=180[/tex]

[tex]6p-2+3p-7=180[/tex]

[tex]9p-9=180[/tex]

[tex]9p=189[/tex]

[tex]p=21[/tex]

A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.

Answers

Answer:

if its asking for final depth it is 48 fert below sea level

Step-by-step explanation:

43 + 17= 60

12 - 60 = 48

what is the best estimate of 97/7 and 1 3/4

Answers

Answer:

next question nexy question

WILL GIVE BRAINIEST IF CORRECT

Which of the following doesn't belong? Explain.

Answers

Step-by-step explanation:

a. 5x² - 80

b. 5(x² + 4x - 4x -16)

5(x² - 16)

5x² - 80

c. 5x² - 20x + 20x - 80

5x² - 80

d. 5x² - 11

D doesn't belong because 5x² - 11 is not the answer to A, B, or C.

D, this does not belong because it does not match A, B, or C

pree point sa inyong lahat​

Answers

Answer:

Thanksss

Step-by-step explanation:

:)

Answer:

thanks lol

Step-by-step explanation:

Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427

Answers

Answer:

0.6887

Step-by-step explanation:

Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.

What is normal distribution?

Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".

According to the question,

Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.

Adam's  distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.

In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.

Normal distribution z =   (x-μ)/σ       x ~ (μ,σ)

When x = 108

z = (123 - 108)/47  [Adam's  distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]

= 0.3191

P(x > 108) = P(z > - 0.3191)

                = 1 - 0.3191   [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]

                = 0.6887

Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.

Learn more about Normal distribution here

https://brainly.com/question/11943392

#SPJ2

Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.

Answers

Answer:

12mph

Step-by-step explanation:

You must divide the 54 miles by the 4 1/2 hours which will give you 12mph

It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?

Answers

Answer:

false

Step-by-step explanation:

How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?

2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?

Need help !! From mathematics only

Answers

Answer:

1) 9h² - 3h + 2h² when h= -1

11h²- 3h

11(-1)²-3(-1)

11+3

14

2) -6m + 3t +2m² when m= 3 and t=-1

-6( 3) +3(-1)+2(3)²

-18 -3 +18

-3

3) 7g² - 2c³/ 3g - c² when g=2 and c= -1

7(2)² - 2(-1)³ / 3(2) - (-1)²

28 +2 / 6-1

30/5

6

The table below provides the values of the functions g(t) and h(t) for
several values of t.

Which of the following is a solution to the equation f(t)=h(t)

Answers

Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

2/-2.5+4.1+1.2(3+6)/-0.1

Answers

Answer:

-104.7

Step-by-step explanation:

2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =

-0.8 + 4.1 + 10.8 : (-0.1) =

-0.8 + 4.1 + (-108) =

3.3 - 108 =

-104.7

Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD

Answers

Answer:

AUB={1,2,3,4,5,7,8,9}

ALL THE NUMBERS WITHOUT REPEATING

AnB={5}

THE NUMBER THE HAVE IN COMMON

(AnB)n(BnC)={5}not too sure

CUD={1,3,6,7,8,10}

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