Answer:
2
Step-by-step explanation:
shen works mowing lawns and babysitting. he earns $9.40 an hour for mowing and $7.80 an hour for babysitting. how much will he earn for 4 hours of mowing and 6 for babysitting?
Answer:
$84.40
Step-by-step explanation:
mowing: $9.40/hour
babysitting: $7.80/hour
4 hours mowing + 6 hours babysitting =
= 4 × $9.40 + 6 × $7.80
= $37.6 + $46.8
= $84.40
Answer:
$84.40
Step-by-step explanation:
$9.40 · 4 + $7.80 · 6 = ?
9.4 · 4 = 37.60
7.8 · 6 = 46.80
37.60 + 46.80 = $84.4
I hope this helps!!
City A grows by 5% every year. In 2021, it has a population of 145,201. What will the population be in 2037?
Answer:
About 316,955 people
Step-by-step explanation:
The population of this city can be modeled with the formula [tex]P=I\cdot(1.05^t)[/tex], where P represents the current population, I represents the initial population, and t represents the amount of time in years since the start of the model. Plugging in 145,201 for I and (2037-2021)=16 for t, we get:
[tex]P=145201\cdot(1.05)^{16}\approx145201\cdot2.18\approx 316955[/tex]
Initial population=145,201
Total years=2037-2001=36
[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]
[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201(1.05)^{16}[/tex]
[tex]\\ \sf\longmapsto S=145201(2.18)[/tex]
[tex]\\ \sf\longmapsto S\approx 316955[/tex]
Done
How to solve examples c) d) ?
Factorial sums
Recall the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
a. Let a = b = 1 and n = 8. Then the sum above gives the sum shown here,
[tex]\displaystyle \sum_{k=0}^8 \binom8k 1^{n-k} 1^k = \sum_{k=0}^8 \binom8k[/tex]
so it reduces to (1 + 1)⁸ = 2⁸ = 256.
b. Let a = 1 and b = -1 and k = 8. Then by the same argument, the sum reduces to (1 - 1)⁸ = 0.
c. Notice that
[tex]\displaystyle \sum_{j=0}^n \binom n{n-j} = \binom nn + \binom n{n-1} + \binom n{n-2} + \cdots \binom n2 + \binom n1 + \binom n0[/tex]
but this is nearly identical to the sum in part a, with a = b = 1 and arbitrary n, but the order of terms is reversed. Then it reduces to (1 + 1)ⁿ = 2ⁿ.
d. Let a = 1 and b = 2. Then the sum is (1 + 2)ⁿ = 3ⁿ.
What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
Which ostrich is fastest x= second Y= feet look at picture
Answer: It is S.
Step-by-step explanation:
S: y= -1/4x + 2
+1/4 +1/4
y = 2 1/4x
For question 1 please look at the image below
Answer:
Step-by-step explanation:
a) Number of families having income between $ 20000 - $ 40000 = 100
b) Number of families having income less than $40000 = 100 + 40 = 140
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Please give an explanation too!
irrational number, any real number that cannot be expressed as the quotient of two integers.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.
1st Is rational
2nd one is irrational
3rd is irrational
4th is rational
Please help
What value of b makes the trinomial below a perfect square?
X^2-bx+16
Answer:
D) 8Step-by-step explanation:
Given trinomial:
x² - bx + 16It has two perfect squares and a variable with negative coefficient.
It can be representing a:
(m - n)² = m² - 2mn + n²If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.
This gives us b = 8
(x - 4)² = x² - 8x + 16when the mortgage is completely paid off for Mark and Lynn's house, it will be 5 times as old as it is now. if they have 24 years left on the mortgage, how old is the house right now?
Answer:
vCan be done using arithmetic will be too long for braily check you89 55vw]vw
StCan be done using arithmetic will be too long for braily check you89 55ep-by-step explanation:
Can be done using arithmetic will be too long for braily check you89 55Can be done using arithmetic will be too long for braily check you89 Can be done using arithmetic will be too long for braily check you89 5555Can be done using arithmetic will be too long for braily check you89 55
The house is right now 6years old.
What is linear equation?
" Linear equation is defined as the algebraic expression of one or more variables with highest power equals to one."
According to the question,
'x' represents the present age of house
'y' represents the years left on the mortgage
Given,
y = 24years
As per the condition given linear equation we get,
x + y = 5x
⇒x + 24 = 5x
⇒5x - x = 24
⇒4x = 24
⇒x = 24 / 4
⇒x= 6years old
Hence, The house is right now 6years old.
Learn more about linear equation here
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You saved $140 on your new laptop because you bought it online. If this was a 20% savings from the original price, Find the original cost of the laptop.
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
How do I solve 3 - 4.5 =
Answer:
-1.5
Step-by-step explanation:
3.0 - 4.5 is the same as 3.0 + (-4.5)
in this instance you subtract 3.0 from 4.5 and keep the sign of the larger number, which is 4.5 (you disregard the negative sign)
write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
Given 3 + 7 + 11 + 15 + ... find S20
A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the number of servings of soup.
How many servings of soup does the restaurant have?
Answer:
The answer is 2 and 2/5 i hope this can help.
Step-by-step explanation:
Solve equation. Show steps
8+x=4x+2
Answer:
x=2
Step-by-step explanation:
8 + x = 4x +2
Subtract 4x from both sides:
8 + x - 4x = 4x + 2 - 4x
Group like terms:
x - 4x + 8 = 4x + 2 -4x
Simplify the arithmetic:
-3x + 8 = 4x + 2 -4x
Group like terms:
-3 + 8 = 4x - 4x + 2
Simplify the arithmetic:
-3x + 8 = 2
I really need help on this problem
Answer:
64??
Step-by-step explanation:
If not I'm sorry I tried :)
can someone help me i really don't want to fail class
let's firstly convert the mixed fractions to improper fractions and then add/subtract.
[tex]\stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7\frac{1}{5}}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8\frac{1}{3}~~ +~~\left( -7\frac{1}{5} \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}[/tex]
[tex]\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1\frac{2}{15}}[/tex]
In the given figure what is the measure of arc BC
Answer:
48°Step-by-step explanation:
Both angles A and D intercept same arc BC, hence congruent:
7x - 4 = 2x + 167x - 2x = 16 + 45x = 20x = 4Arc measure is twice the measure of inscribed angle:
mBC = 2(7*4 - 4) = 48Pls help me right away I’m in stress pls
What is the probability of
spinning a yellow?
Answer:
is 2/8
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
the ratio 7 : 350? what the answer to this promblem
Answer:
17
Step-by-step explanation:
Answer: 17:850
Step-by-step explanation:
A Ratio explains how two commodity or items are related and how much of one is contained in another. in the ratio 7 : 350, 7 is contained in 350 by 50 times, this is gotten by dividing 350 by 7 to get a reduced ratio of 1:50. :(Tip-Divide the first number by the second.)
Evaluate the expression for x = 8
x + 5
5
8
3
13
Answer:
1st one
Step-by-step explanation:
:) pls mark brainliest
What fraction benchmark is .58 closest to?
Answer:
See below:
Step-by-step explanation:
So, since we aren't given any options, there isn't a limit to what it is.
But, assuming you said fraction benchmark it has to be somewhere between 1/2 2/3 3/4 etc.
Now, we can convert the fractions to their equivalent decimal form
1/2 = 0.5
2/3 = 0.66 repeating.
3/4 = 0.75
Now, we can see that 0.58 is 8 units away from 0.66
We can see that it is also 8 units away from 0.5.
But, seeing to that 2/3 is 0.66 with a ton of sixes, it would in theory be away by 8.66 compared to 8 from 0.5
Therefore, we get the closest benchmark is 1/2 (0.5)
factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
18644375453294435X37467634363627
Answer:
What is this???
Step-by-step explanation:
Did you bang your head on your keyboard or something lol?
If this is what you mean: ⤵⤵⤵
18,644,375,453,294,435 × 37,467,634,363,627
-then the answer's 698,560,642,422,218,297,771,885,515,745
It's really long but this number is essentially about 698 octillion.
I'm sorry if this isn't what you wanted, but hope this answered your question :)
Find the value of 4 + (27 - 12 ∙ 2) ÷ 2.
19
5.5
3.5
Answer:
5.5
Step-by-step explanation:
Someone help meeee :))
Answer:
Step-by-step explanation:
1) 3x + y = 3
y = -3x + 3
When x = 0 ; y = 0 +3 = 3 (0 , 3)
When x = 1 ; y = -3*1 + 3 = -3 + 3 = 0 (1 , 0)
When x = 2 ; y = -3*2 + 3 = -6 +3 = -3 (2 , -3)
Plot the points (0 ,3 ) ; (1 ,0) and (2 , -3) in the graph and join them
2) y = x + 3
When x = 0 ; y = 0 +3 = 3 (0 , 3)
When x = 1 ; y = 1 + 3 = 4 (1 , 4)
When x = -3 ; y = - 3 + 3 = 0 (-3 , 0)
Plot the points (0,3) , (1, 4) and (-3 , 0) in the graph and join them
3) Plug in (4 , y) int he equation
y = x + 5
y = 4 + 5
y = 9
y = 9
5) 2x + y = 3
At x-intercept y = 0
2x + 0 = 3
2x = 3
x = 3/2
Round 16.4829 to the nearest hundredth
Answer:
16.48
Step-by-step explanation:
The round off of 16.4829 to the nearest hundredth is 16.48.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
16.4829
You rounded to the nearest hundredths place.
The 8 in the hundredths place rounds down to 8, or stays the same,
because the digit to the right in the thousandths place is 2.
and, When the digit to the right is less than 5 we round toward 0.
So, 16.4829 was rounded down toward zero to 16.48.
Learn more about round off here:
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1 Probably: a) between $20,000 and $40,000
Answer:
there is not enough info to answer the question
Step-by-step explanation:
can you repost it?