Answer:
Tim paid $123 more last year than Sarah.
Step-by-step explanation:
First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer. Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82. Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer. Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.
(b) Mrs. Young calculates that 5 nights will cost $1350. What is the percent error in Mrs. Young’s calculation? Round to the nearest percent. Show your work
Answer:
5 x 13,50= 6,750
Step-by-step explanation:
5,400 is the answer of the persentage. I subtracted 6,750 from 1350 and got 6,750
Cost of 1 night:-
[tex]\\ \sf\longmapsto \dfrac{1350}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{270}{1}[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
How much money will i get in 5.4 hours if i get $4 per 6 hours
Answer:
3 dollars and 60 cents
Step-by-step explanation:
A person saving for retirement makes an initial deposit of $1,000 to a bank account earning interest at a rate of 3% per year compounded monthly, and each month she adds an additional $200 to the account For each nonnegative integer n, let An be the amount in the account at the end of n months. Find a recurrence relation relating Ak to Ak-1. Use iteration to find an explicit formula for An.
Answer:
Step-by-step explanation:
(a)
From the given information:
Let An denote the amount in the account at the end of n month
Thus,
[tex]A_o[/tex] =1000
After the first month ends, interest = [tex]=A_o \times \dfrac{3}{100} \times \dfrac{1}{12}[/tex]
= [tex]0.0025A_o[/tex]
Additional deposit = $200
Now,
[tex]A_1 = A_o + 0.0025A_o + 200[/tex]
[tex]=1.0025A_o + 200 --- eqn(1)[/tex]
Interest after 2nd month, = [tex]A_1 \times \dfrac{3}{100} \times \dfrac{1}{2}[/tex]
Additional deposit = $200
[tex]A_2 = A_1 + 0.0025A_1 + 200[/tex]
[tex]=1.0025A_1 + 200 --- eqn(2)[/tex]
Thus:
[tex]A_n = 1.0025A_{n-1} +200[/tex]
(b)
From above;
[tex]A_1 = 1.0025A_ 0+ 200[/tex]
Thus;
[tex]A _2 = 1.0025A_ 1+ 200[/tex]
[tex]A_2 = 1.0025( 1.0025A_ 0+ 200)+ 200[/tex]
[tex]A_2 = 1.0025^2A_o +200 ( 1+1.0025)[/tex]
[tex]A _3 = 1.0025A_ 2+ 200[/tex]
[tex]A _3 = 1.0025( 1.0025^2A_o +200 ( 1+1.0025))+ 200[/tex]
[tex]A _3 = 11.0025^3A_o +200 ( 1+1.0025 + 1.0025^2)[/tex]
To continuity...
[tex]A_n = 1.0025^n A_o + 200 (1+1.0025 +1.0025^2 +...+ 1.0025^{n-1} ) ---- (3)[/tex]
Thus, we have a geometric term [tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1}[/tex]
where:
a = 1 (first term)
r = 1.0025>1 (common ratio)
Thus;
[tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1} = \dfrac{a(r^n -1)}{r-1}[/tex]
[tex]= \dfrac{1(1.0025^n -1)}{1.0025-1}[/tex]
[tex]= 400(1.0025^n -1)[/tex]
From equation(3)
[tex]A_n = (1.0025^n \times 1000) + 80000(1.0025^n -1)[/tex]
[tex]A_n = 1.0025^n \times 81000-80000[/tex]
brainlist asap, please help i need to boost my grade in math ♡´･ᴗ･`♡
♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎
question: mona borrowed $6000 for college expenses. After 2 1/2 years she will have paid $750 in interest. What is the interest rate? ______
Answer:
5250
i hope this is right.
Answer:
5250
Step-by-step explanation:
person on my top got it ^
2.85 tons when rounded to the nearest hundreds
Answer:
0
Step-by-step explanation:
I will mark BRAINLIEST pls I need to turn this in soon !!!!!
5. Use the race times to calculate the mean time for each team. Show your work
Red:
Yellow:
Blue:
6. How do the tree teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking
7. How do the three teams rank based on median times? Explain your ranking
8. What statistic should you use if you wish to compare the spreads? Explain your answer
9. The interquartile range for the red teams race time is 5 seconds. Find the IQR for the yellow and blue teams.
10. What do the interquartile ranges (IQRs) tell you about how the teams race ? Explain your thinking.
11. Now that you’ve analyzed the data, it’s time to make a decision.who do you think will win the strict meet describe how you think each team will do, explain your reasoning.
Red:
Yellow:
Blue:
here is your answer pls check it
Answer:
5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)
Red
45.6
Yellow
47
Blue
42.8
6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)
From fastest to slowest the teams rank
Red
Yellow
Blue
7. How do the three teams rank based on median times? Explain your ranking. (1 point)
Based on median times the teams rank from fastest to slowest
Red and yellow tie for the first place
Blue
8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)
The interquartile range would be the best option for measuring the spread of these statistics.
Step-by-step explanation:
Sorry, this is the best I can do I need help with the rest of the questions.
The elves are loading all of the toys from Santa's workshop to the sleighs. They filled 2 small sleighs and 9 big sleighs with 241 toys. Later, they filled 14 small sleighs and 13 big sleighs with 437 toys. How many toys can fit on each type of sleigh?
Answer:
2*9=18 14*13=182 18+182=200
Step-by-step explanation:
well you multiply 2 times 9 and you get 18 and then you multiply 14 times 13 and you get 182 and then you 18+182 and that will give you 382.
Helpppppppppp meeeee ASAP
option c is the answer....
Which of the following is an appropriate line of fit for the data?
1
T
2
3
4
5
6
y
8
15
23
28
37
44
Oy= 5x + 1
y = 7x + 2
2
Oy= -62 +5
Oy= 6.52
Answer:
123idbd8dbokeofyccbdid12332
Solve the system of equations using the elimination method.
(8x +11y = 37
8x+y=7
Find an equation of the line that passes through the point (23, 22) and is
parallel to 2x=3-5y
Answer:
The equation of the line is y= -2/5x+156/5
Step-by-step explanation:
y=mx+b
m= -2/5 ( 23,22)
y-y=m(x-x¹)
y-22=-2/5(x-23)
y-22=-2/5x+46/5
+22 +22
y= -2/5x+156/5
n/ 39 = 8/13
Please select the best answer from the choices provided.
A: n = 32
B: n = 2 2/3
C: n = 24
D: n = 63 3/8
Answer:
24 is the correct answer
A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs $9. Each topping costs $1. How much did the two pizzas cost?
A.
Answer:
21$
Step-by-step explanation:
2 pizzas =18 plus 3 toppings which equals 21$
Wrote a linear function f with the values f(-4)=0 and f(4)=2
Answer:
y = (1/4)x + 1
Step-by-step explanation:
The points mentioned are (-4,0) and (4,2).
We can find the slope m:
(2-0)/(4-(-4)) = 2/8 = 1/4
We now have the equation y = (1/4)x + b
Now we must find the y-intercept.
Plugging in the first point:
0 = (1/4)*(-4) + b
0 = -1 + b
1 = b
y = (1/4)x + 1
Consider drawing two cards, without replacement, from a standard deck of 52 cards. That means we are drawing the first card, leaving it out, and then drawing the second card.what is the probability that both cards selected for black?
Given:
Two cards are drawn from a standard deck of 52 cards without replacement.
To find:
The probability that both cards selected for black.
Solution:
We know that,
Total number of cards = 52
Total number of red cards = 26
Total number of black cards = 26
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Probability of selecting first black card is
[tex]\text{Probability}=\dfrac{26}{52}[/tex]
[tex]\text{Probability}=\dfrac{1}{2}[/tex]
Number of remaining total cards = 52-1 = 51
Number of remaining black cards = 26-1 = 25
Probability of selecting second black card is
[tex]\text{Probability}=\dfrac{25}{51}[/tex]
So, the probability that both cards selected for black is
[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]
[tex]\text{Probability}=\dfrac{25}{102}[/tex]
Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].
I need help with these too questions
Number 1
Number 2
Answer:
Step-by-step explanation:
-6n + 2.9 = 11
subtract 2.9 from both sides
-6n = 8.1
divide both sides by -6
n = -1.35
2/3n - 3 = 8
add 3 to both sides
2/3n = 11
multiply both sides by 3
2n = 33
divide both sides by 2
n = 16.5
hope this helps <3
Answer:
left side:
-6n = 11 - 2.9
-6n = 8.1
n = - 8.1/6
n = - 1.35
right side:
2/3 n = 8 + 3
2/3 n = 11
n = 33/2
n = 16.5
1)A student earned a grade of 80% on a math test that had 60 problems. How many
problems on this test did the student answer correctly?
Answer:
48
Step-by-step explanation:
80% = .8
60 x .8 = 48
Answer: 48
Step-by-step explanation:
80% of 60 or 80/100 x 60 = 48
Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?
Answer:
Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016
Step-by-step explanation:
(-2/3)+3/4 Please help
Answer:
-17\12
Step-by-step explanation:
Company a charges 60$ plus 0.15 per mile company b charges 25$ per day or portion of a day .Jason has determined that it will cost him less to rent a car from company a for a weekend trip .is Jason's conclusion accurate?
Answer:
No
Step-by-step explanation:
A: C = 60 + 0.15m (C is total cost and m is no. of miles)
B: C = 25d (d is no. of days)
For a weekend trip, there are 2 days.
This means that the cost for B is 2*$25, which is $50.
It doesn't matter how many miles are driven for A because the cost will always be at least $60.
This means that B is cheaper and that Jason is inaccurate.
help me answer these questions please 15, 19 and 20 please
Answer:
15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Step-by-step explanation:
We are to find the derivative of the questions pointed out.
15) K(t) = 5(5^(t)) - 2(3^(t))
Using implicit differentiation, we have;
K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P(w) = 2e^(w) - (2^(w))/5
P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)
Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)
Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
If PQ=12, QR=20, PS=12, and SR=20, then QS=
Answer:
QS=23.32
Step-by-step explanation:
by Pythagorean theoremh square is equal to p square + b square
so h=√12×12+20×20h=√144+400h=√544h=23.32Buddy mark me as a brainlist
Is this correct if not correct me
If the total value of the coins is 36¢, what are the missing coins?
we need a better explaination
Can someone help with these two problems ?
Answer:
1. 6 cookies 2. 5/12 of the pan is left
Step-by-step explanation:
42/2=21
21(2/3)= 14
14-8=6
6 cookies were left
1/4+1/3= 3/12+4/12=7/12
5/12 of the pan is left
Answer:
1/2x42 = 21
42-21= 21x1/3= 7
21-7= 14
14-8= 6
santa got 6 cookies
Find the unknown of the following
Step-by-step explanation:
For 4.
4b + 2b + 3b = 180°< Sum of angles of triangle >
9b = 180°
b = 180° / 9
b = 20°
4b = 4* 20° = 80°
2b = 2* 20° = 40°
3b = 3 * 20° = 60°
For 5.
x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>
x = 109°
Hope it helps :)
Given the vectors u and v.
On a coordinate plane, vector u has origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).
What is u · v?
19
59
61
160
Answer:
A. 19
Step-by-step explanation:
edge 2020
The dot product of the vector u and v is 19 if option (A) is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have:
On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).
Vector u = <(7-0, (8-0)> = <7, 8>
Siimilarly, v = <-3, 5>
u · v = (7×(-3)) + (8×5) = -21 + 40 = 19
Thus, the dot product of the vector u and v is 19 if option (A) is correct.
Learn more about the vector here:
brainly.com/question/8607618
#SPJ2
Just Some e-dgenuity i need to get done
Answer:
Check mark number
2
4
5
Evaluate
f(x)=5x-3
f(5) =
f(x)=5x-3
use the substitution method
f(5)=(5)(5)-3
multiply the parentheses first
using: PEDMAS
P=Parentheses
E= Exponents
D=Division
M=Multiplication
A= Addition
S=Subtraction
(5)(5)=25
25-3
=22
answer:
f(5)=22
A sailboat is 175 feet from the base of a lighthouse. If the angle of elevation to the top of the lighthouse is 23°, find the height of the lighthouse, to the nearest hundredth of a foot.
9514 1404 393
Answer:
74.28 ft
Step-by-step explanation:
The tangent of the angle is the ratio of opposite side (lighthouse height) to adjacent side (distance from lighthouse).
tan(23°) = height/(175 ft)
height = (175 ft)·tan(23°) ≈ 74.28 ft