Answer:
The first '5' terms of the given sequence
[tex]\frac{7}{2} , 4 ,\frac{9}{2} ,5,\frac{11}{2}[/tex]
Step-by-step explanation:
Explanation:-
Given that the [tex]n^{th}[/tex] aₙ = [tex]\frac{N}{2} + 3[/tex]
first term
Put n=1 ⇒ [tex]\frac{1}{2} + 3 = \frac{7}{2}[/tex]
second term
Put n=2 ⇒ [tex]\frac{2}{2} + 3 = 1+3=4[/tex]
Third term
Put n=3 ⇒ [tex]\frac{3}{2} + 3 = \frac{3+6}{2}=\frac{9}{2}[/tex]
Fourth term
Put n=4 ⇒ [tex]\frac{4}{2} + 3 = 2+3 =5[/tex]
Fifth term
Put n=5 ⇒ [tex]\frac{5}{2} + 3 = \frac{5+6}{2}=\frac{11}{2}[/tex]
The first '5' terms of the given sequence
[tex]\frac{7}{2} , 4 ,\frac{9}{2} ,5,\frac{11}{2}[/tex]
Emilia and Sydney went out to dinner. The bill came to $48. They want to leave a 20% tip and
split the bill. How much do they each pay?
$9.60
$28.80
$57.60
$68.00
Answer:
Option B is correct.
Step-by-step explanation:
Total bill = $48
Tip = 20%
Amount of tip = 20% of 48
Amount = [tex]\frac{20}{100}*48[/tex]
Amount = 0.2 * 48
Amount = $9.60
Total bill with tip = 48 + 9.60 = $57.60
Dividing by 2 as they are spliting the bill.
Each pays = [tex]\frac{57.60}{2}=28.80[/tex]
Therefore,
Option B is correct.
when she got in her car to drive to work,Mia had 11 1/2 gallons of gas in her tank. if she used 1/8 of the gas in her tank to get to work, how much gas does she have left?
how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://
Answer:
use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.
URGENT
Solve for x in the equation x squared minus 12 x + 36 = 90.
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Answer:
It's A on edge
Step-by-step explanation:
Answer:
A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot
Step-by-step explanation:
bc im taking test :)
HELP I NEED HELP ASAP
A farming community begins with one resident. Then every year, the number of residents multiplies by 10 Write an expression using an exponent to
represent the number of residents in the community after 5 years
Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Show your work.
Answer: 1%
Step-by-step explanation:
Let x be the sale price.
Commission = 6.5% of x = 0.065x (Before discount)
Discount amount = 10% of x = 0.1x
Final sales price = x- 0.1x = 0.9x
Commission after discount = 6.5% of (0.9x)
= 0.065 (0.9x)
= 0.0585x
Loss = ( Commission before discount ) - (Commission after discount )
= 0.065x - 0.0585x
= 0.0065x
Loss percent = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]
Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.
The sales person lost a commission of 10%.
Let's assume that the price of the car is 1000. The commission the salesperson earns is $65(0.065 x 1000). The price of the car after the 10% discount is $900 (0.9 x 1000). The commission the salesperson earns on the discounted car is $58.5(0.065 x $900). The commission lost = (58.5 / 65) - 1 = 10%To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849
8g - 5g =24.
(For a test)
Answer:
8g-5g=24.
We move all terms to the left:
8g-5g-(24.)=0
We add all the numbers together, and all the variables
8g-5g-24=0
We add all the numbers together, and all the variables
3g-24=0
We move all terms containing g to the left, all other terms to the right
3g=24
g=24/3
g=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8g-5g=24
8-5=3
3g=24
3g/3=24/3
g=8
OU
Prove algebraically that 0.5 =
Write your proof in the box, below, and use x in the working.
The concluding line has been written for you.
Therefore x =
olu
Answer:
The prove is explained below:
Step-by-step explanation:
The computation is given below:
Here we needed two equations
Let us assume x = 0.555 --------------- (1)
Now if multiplied it by 10 to the both sides
So, it would be
10x = 5.555............(2)
Now deduct equation 1 from equation 2 in order to remove the recurring decimals
(10x - x) = (5.5555 - 0.5555 )
9x = 5 (divided the both sides by 9 )
So x = 5 by 9
Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?
A.) $18,000
B.) $6,000
C.) $20
D.) $300
Answer: B.) $6,000
Step-by-step explanation:
The equation shows how much Jordan has to pay per month until he is finished paying the loan.
This is a linear equation in the form: y = mx + c
y is the amount left to be paid
m is the change per month which means it is the amount paid per month
x is the independent variable that is changed which means it is the no. of months
c is a constant figure which in this case would be the amount borrowed.
With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.
The original amount of loan must therefore be:
= $6,000
Divide 161 miles in the ratio 6:1
Help please with this problem!
Answer: B.
Step-by-step explanation:
4x + 8y = 2(4y + 2x)
Answer:
B
Step-by-step explanation:
A. 4 (2x + y)
8x + 4y ( So not this! )
B. 2(4y + 2x)
8y + 4x ( This is right! )
C. 4(2x + 4y)
8x + 16y ( So not this! )
D. 8 (y + 2x)
8y + 16x ( So not this! )
(3х + 4) - (х + 2) =
The answer to (3x + 4) - (x + 2) is
2(x + 3).
(3x + 4) - (x + 2) = 2(x+3)
Answer:
2x + 2 is the answer.....
write a missing-factor equation. 7 people went to dinner. The total
bill was $42. How much did
each person pay if the bill was
shared equally?
Answer:
If everyone contributed to the bill, everyone would have had to pay 6 dollars each.
Step-by-step explanation:
You take 42, divide it by 7 to get 6.
If Holly gets 14 % off a shirt , what percent of the original price will still pay
Answer:
Holly will still pay 86% of the original price.
Step-by-step explanation:
Given
Holly gets 14% off a shirt, soDiscount = 14%To determine
What percent of the original price will still pay.
All we need is to subtract the percentage of discount from 100.
i.e.
100 - Discount = 100 - 14 = 86%
The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.
Thus, Holly will still pay 86% of the original price.
Question 5
Maria can bake 35 cookies in of an hour. How many cookies can
she make in 4 hours?
Answer:
140
Step-by-step explanation:
just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)
Answer:
its 140 in 4 hours
Step-by-step explanation:
hope this helps!
Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.
Answer:
Mr Lee gets 9kg
Mrs Scarlett gets 6kg
Step-by-step explanation:
First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.
We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient
15kg/10 = 1.5kg
This means that each person gets 1.5 kg of chocolate.
Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:
6*1.5kg = 9kg
And Mrs Scarlett will get the remaining, that is:
15kg - 9kg = 6kg
Mrs Scarlett will get 6kg of chocolate.
i need the correct answer plzzzz
Answer:
12
Step-by-step explanation:
tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.
5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.
Answer:
it hard too
Step-by-step explanation:
it's hard also so
Answer: 180
an = a1 + (n - 1)d
a1 = 6 [1st term]
d = 4 [common difference]
n = 30 [30th term]
a30 = 6 + (30 - 1)*6 = 180
y = 3x - 1
y = x - 7
Solve with Substitution
a certain coin is a circle with a diameter of 18mm. What is the exact area of either face of the coin in terms of pi (3.14)
Answer:
254.34 mm².
Step-by-step explanation:
For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.
[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]
Therefore, the area of either face of the coin is 254.34 mm².
I hope this helps!
What is the slope of this line
Answer:
K=2
Step-by-step explanation:
I es Smrt
Please help don’t know answer
Answer: y= X+3
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y- intercept
$35 bill before tax
tax:5.8%
Tip:21%
Answer:
If tip goes only on amount but not on tax: $44.38
If tip goes on total including tax: $44.81
Step-by-step explanation:
If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.
tax + tip = 5.8% + 21% = 26.8%
100% + 26.8% = 126.8% = 1.268
1.268 * $35 = $44.38
If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.
Bill before tax: $35
Add 5.8% tax: 1.058 * $35 = $37.03
Add tip to the amount including tax: 1.21 * $37.03 = $44.81
Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question example is $750, 7%, 3 years.
Answer:
750/100 X 7 = 52.50
52.50 X 3 = $157.50
Step-by-step explanation:
divide principal amount by 100 then multiply by interest percentage. this gave 52.50
now multiply the interest amount by number of years
in this case 3
52.50 X 3 = $157.50
1. Compare each pair of integers using the symbols >, < or =
a. -2,[ ]-2
b. 17 [ ] 11
c. -3 [ ]7
d. -16[ ] 13
2. Order each set of integers from least to greatest
a. 98,5,46, 77, 24, 19
b. 58,46, 62, 79, 21, 6
c. 86, 65, 55, 30, 11, 41
d. 69, 65, 52, 48, 25,8
If a square shaped napkin had a side length of 9 inches what is the area of the Napkin?
Answer:
81
Step-by-step explanation:
its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81
What is the measure of angle x? (Brainly + Bonus points for the best correct answer and explain)
Answer: 76
Step-by-step explanation:
If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.
A box of tissues has a length of 11.2 centimeters,a width of 11.2 centimeters and a height of 13 centimeters.What is the volume of the tissue box?
Answer:
The volume of the box is 1630.72
Step-by-step explanation:
11.2x11.2x13= 1630.72
✩brainliest appreciated✩
*muffled crying*
............
Answer:
-8 is the answer.
Step-by-step explanation:
3 - (-8) = 11
The negatives cancel to become a +
3 + 8 = 11
Think of 3 positive things and 8 negative things.
O O O
O O O O O O O O
3 of the positive things will add onto the 8 positive things, resulting in 11
#teamtrees #WAP (Water And Plant)
[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]
[tex]3 - 14 = 11[/tex]