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
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.
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.
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Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
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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
Answer:
507 KW/hStep-by-step explanation:
Initial output:
390 KW/hUpgraded output:
30% moreFind the upgraded output in number:
390 + 30% of 390 =390 + 390*30/100 =390*1.3 =507Average 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
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
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)
3х – 11 = 22 solve x
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
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.
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 anotherIn 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.
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How to divide 4 divided by 2/3
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
They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate
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.
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.
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%).
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Happy Thanksgiving!!!!
Have a wonderful day
M<1=m<5 true or false
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
trevin puts 8 gallon of gas
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
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?
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
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
Answer:
64 hours
Step-by-step explanation:
(3\8) times 64 (hours) equals 24 (tons of dirt)
Solve 9x - 5 = 9x - 5. How many solutions does the equation have?
Show your work.
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 variablecan 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!!
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
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.
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
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4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
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.
yo if someone helps me with this ill give u brainliest
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:
8/27 simplified as an exponent
Answer:
what is an exponent bro ;-;
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?
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
Latonya swims 50 meters in 1/2 minute, what is the slope ?
Answer:
This slope means for every 1 minute Latonya swims 100 meters.
Step-by-step explanation:
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.
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 :>
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
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
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:
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?
Answer:
Step-by-step explanation:
Function or non functional? Pls help ty :3
Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?
Answer:
1.400$
Step-by-step explanation:
Why are integers rational numbers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
(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
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