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

what numbers form a right triangle
A- 3, the square root of 9, The square root of 18
B- 3 , 4, 5
C- 7, 7, square root of 98
Choose all that Apply​

Answers

let's recal the pythagorean theorem, where c² = a² + b², namely, the largest number squared is equal to the sum of the two smaller ones squared.

well, we can just start by say in A, looking the smaller sides, 3 and √9, if we squared both and add them up, do they give the largest one of √18?

[tex]\boxed{A} \\\\ 3^2+(\sqrt{9})^2 = (\sqrt{18})^2\implies 9+9 =18\qquad \textit{\Large\checkmark} \\\\\\ \boxed{B}\\\\ 3^2+4^2=5^2\implies 9+16=25\implies 25=25\qquad \textit{\Large\checkmark} \\\\\\ \boxed{C}\\\\ 7^2+7^2=(\sqrt{98})^2\implies 49+49=98\implies 98=98\qquad \textit{\Large\checkmark}[/tex]

so they all apply.

ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2

Answers

Answer:

2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables

Step-by-step explanation:

Function or non functional? Pls help ty :3

Answers

It would be a function as no two y values have the same x value

Happy Thanksgiving!!!!

Have a wonderful day​

Answers

Same to you enjoy your day:)

3х – 11 = 22 solve x

Answers

Answer:

x=11

Step-by-step explanation:

3x-11=22

3x-11+11=22+11

3x=33

3x/3=33/3

x=11

Step-by-step explanation:

3x = 22 + 11

3x = 33

3x = 33/3

3x = 11

They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate

Answers

Answer:

That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.

Latonya swims 50 meters in 1/2 minute, what is the slope ?

Answers

Answer:

This slope means for every 1 minute Latonya swims 100 meters.

Step-by-step explanation:

can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!

Answers

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.

Answers

4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA

Hope it helps you....

Please mark as brainlliest

Solve 9x - 5 = 9x - 5. How many solutions does the equation have?
Show your work.

Answers

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

Subtract 9x -5 from both sides.

  (9x -5) -(9x -5) = (9x -5) -(9x -5)

  0 = 0

This is true for all values of x. There are an infinite number of solutions.

_____

Additional comment

When you subtract one side of the equation from the other, there are three possible results:

ax +b = 0 . . . . (a≠0) one solution (x = -b/a)1 = 0 . . . . . . . . no solutions--not true for any value of the variable0 = 0 . . . . . . . infinite solutions--true for every value of the variable

A construction company can remove 3/8 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site

Answers

Answer:

64 hours

Step-by-step explanation:

(3\8) times 64 (hours) equals 24 (tons of dirt)

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.

Answers

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one another

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

Find out more at https://brainly.com/question/10099551.

A man walks 50km a day he gets R1 for every 1000 steps. How much money will he have at the end of his 50km walk if 1,6Km is = to 2000 steps.​

Answers

we have 1,6Km is = to 2000 steps => 1 km = 1250 steps

=>  50km = 1250 x 50 = 62500 steps

so he'll have: 62500/1000 = 62,5 R1

ok done. Thank to me :>

paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday?

Answers

Answer:

Step-by-step explanation:

Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?

Answers

To solve this 2/5 of $3,500 which is 0.4 x $3,500 = $1,400.

Hope this helps!

Answer:

1.400$

Step-by-step explanation:

Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?

Answers

Answer:

The answer to " How much is a pen or pencil at the school store?" is $0.5

Step-by-step explanation:

3+5=8

-1.00 for erasers

total cost now =4

4/8= $0.5

total cost of everthing =5

8/27 simplified as an exponent

Answers

Answer:

what is an exponent bro ;-;

2^3
/
3^3
Is this is what you meant

yo if someone helps me with this ill give u brainliest​

Answers

Answer:

Step-by-step explanation:

a      15090

b      4255

c      dairy heifers and bulls

d      9975/15090

e      how many steers there are compared to bulls

Answer:

a) 15,090, addition

b) 4,255, subtraction

c) bulls and beef heifers for breeding

d) 5115/15,090 or 15/90

e) How many more calves are there than steers?

3930

Step-by-step explanation:

Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per
year. The turbines were upgraded, and now their average annual output is 30% more. What
is the new average yearly output?
kilowatt hours
Submit

Answers

Answer:

507 KW/h

Step-by-step explanation:

Initial output:

390 KW/h

Upgraded output:

30% more

Find the upgraded output in number:

390 + 30% of 390 =390 + 390*30/100 =390*1.3 =507

Average output=390KW

Updated percentage=30%

Updated output:-

[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]

[tex]\\ \sf\longmapsto 0.3(390)[/tex]

[tex]\\ \sf\longmapsto 117[/tex]

New output=390+117=507KW

trevin puts 8 gallon of gas

Answers

Answer:

good for trevin?

Step-by-step explanation:

we'll need more to go on haha

From his eye, which stands 1.62 meters above the ground, Amadou measures the
angle of elevation to the top of a prominent skyscraper to be 44°. If he is standing at a
horizontal distance of 164 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

The height  of the skyscraper rounded to the nearest tenth of a meter is

160.0 meters.

The situation will form a right angle triangle.

The angle of elevation is 44 degrees. The horizontal distance of 164

meters from the base of the skyscraper is the adjacent side of the triangle.

Part of the height of the skyscraper is the opposite side of the triangle formed .

Using trigonometric ratio,

tan 44° = opposite / adjacent

tan 44° = h / 164

cross multiply

h = 164 × tan 44°

h = 158.372959068

Recall the angle of elevation was form from his eyes above the ground of

1.62 meters.

Therefore, the height of the skyscraper can be calculated below:

height of the skyscraper = 158.372959068 + 1.62 = 159.992959068

height of the skyscraper ≈ 160.0 meters

learn more: https://brainly.com/question/23910946?referrer=searchResults

In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows:
On any given Sunday, are you more likely to only be in church, more likely to only be watching football, doing both, or doing neither?

(a) To only be in church [269 respondents selected this answer]

(b) To only be watching football [175 respondents selected this answer]

(c) Doing both [217 respondents selected this answer]

(d) Doing neither [372 respondents selected this answer]
Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday.

Answers

Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

269 out of 1033 respondents said they were likely to only be in church, hence:

[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]

As a percentage:

0.2336 x 100% = 23.36%

0.2872 x 100% = 28.72%

The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

A similar problem is given at https://brainly.com/question/25743435

M<1=m<5 true or false

Answers

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

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:

How to divide 4 divided by 2/3

Answers

According to your question, (4 divided by 2/3):-

[tex] \frac{4}{ \frac{2}{3} } [/tex]

By reciprocal, it. becomes:

[tex]4 \times \frac{3}{2} [/tex]

As we know that 2×2 is 4, cancel 4. Then we get:-

[tex]2 \times 3[/tex]

[tex]→6[/tex]

Therefore, the answer is 6

There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 iPads. How many iPads were donated to Fun Elementary?

Answers

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.

Answers

Answer:

There would be $5,372.99 in Camilla's account after 4 years.

Step-by-step explanation:

Total Principal $5,000.00

Total Interest $372.99

* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%

Camilla will have approximately $5,454.41 in her account after 4 years.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.

Now, After 4 years, the investment will grow to:

= $5,000 (1 + (1.8%/12))¹²ˣ⁴

= $5,000 (1 + (1.8%/12))⁴⁸

= $5,454.41

Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.

So, Camilla will have approximately $5,454.41 in her account after 4 years.

Learn more about the mathematical expression visit:

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#SPJ2

(I am giving branlest) (plz help only if you understand )

Which expression has the sum of twenty six twentieths?

two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths

Answers

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

brainliest me

4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.

Answers

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees

Answers

Answer:

Step-by-step explanation:

The largest angle will be opposite the longest side.

Use law of cosines

276² = 223² + 258² - 2(223)(258)cosθ

θ = 69.596009... = 69.60°

Which is closest to answer b)

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