Answer:
the expressions are: x + y = 43 and x - 13 = y
x = 28
y = 15
Step-by-step explanation:
hope this helps
may i get braineist pls
Answer:
Smaller is 18, larger is 25.
Step-by-step explanation:
x + y = 43
y = x - 7
x + (x - 7) = 43
2x - 7 = 43
2x = 50
x = 25 (larger)
25 - 7 = 18 (smaller)
Graph 5 and it’s opposite on the number line
Answer:
See pic below.
Step-by-step explanation:
The opposite of 5 is -5.
A student decides she wants to save money to buy a used car, which costs $2600.She comes upwith what she thinks is a very modest savings plan. She decides to save 2 cents the first day anddouble the amount she saves each day thereafter. On the second day she plans to save 4 cents, onthe third day, 8 cents, and so on.
(a)Write an expression that represents the amount savedon dayn;(b)Write an expression that represents the total amount savedby dayn (including day n);(c)Determine how long it will take her to save enough money to buy the car (The answermay surprise you!)
Answer: total cost to be saved is $2600. Her saving pattern is 2, 4, 8,…
a) The pattern of her saving is in geometric sequence. i.e. a=2, r=4/2=2 0r 8/4=2 ( a = First term, r = common ratio) so, expression for amount saved on day (n) = t(n) = ar^(n-1), where: a = first day of saving r = common ration n = number of day
b) Expression that represents the total amount saved by day (n) (including day n) = S = a(r^n-1)/r-1 where: S = sum of amount saved a = first day of saving r = common ration n = number of day
c) To buy the car, she needs at least $2600 which is equal 260000 cents. S = a(r^n-1)/r-1 = 260000 = 2(2^n-1)/r-1 = 260000/2 = 2^n-1/2-1 = 130000 = 2n^-1 = 130000+1 = 2^n = 130001 = 2^n = n = ln(130001)/ln(2) = n = 16.988
So… for n to satisfy the least value of 130001 cents, n should be at least 17 Therefore it will take at least 17 days for her to save enough money to buy a car
Step-by-step explanation:
It will take her about 17 days to buy the car worth 260000 cents
If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)
If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:
2, 4, 8...
This sequence is geometric in nature
In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Given the folowing
a = 2
r = 4/2 = 8/4 = 2
Sn = 260,000
Substitute into the formula the given parameters
[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]
This shows that it will take her about 17 days to buy the car worth 260000 cents
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a jet flew 2660 miles in 4.75 hours. what is the rate of speed in miles per hour? (the proportion would be 2660:4.75::x:1 set the proportion in fractional form and proceed to find x.)
Set the proportion as shown:
2660/4.75 = x/1
Cross multiply:
4.75x = 2660
Divide both sides by 4.75
x = 560
Answer: 560 miles per hour
What is the range & domain of the set
R: {(-6, 14), (10,19), (4, -9), (3, 2), (6, -13)}
Answer:
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Step-by-step explanation:
The domain is the input values, listed from smallest to largest with no repeats
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Answer:
Range: 14, 19, -9, 2, -13
Domain: -6, 10, 4, 3, 6
Step-by-step explanation:
I don't know but this is it I think .
here's a graph of a linear function write the equation that describes the function express it in slope-intercept form
Answer:
y = 3/4 x - 3
Step-by-step explanation:
the slope of a line is the factor of x in the equation and is expressed as ratio of y/x : defining how many units y changes, when x changes a certain number of units.
in our graph here we can see that when increasing x from e.g. 0 to 4 (the x-axis intercept point, a change of +4), y changes from -3 to 0 (a change of +3).
so, the slope and factor of x is y/x = 3/4
and for x=0 we get y=-3 as y-axis intercept point.
so, the line equation is
y = 3/4 x - 3
You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent.
The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA
The question is related to a SIMPLE INTEREST problem:
Loan period = 60 days
using 365 days a year ;
converting to years , 60 days = (60 / 365) years
interest on loan = 73.97
principal = 5000
Using the formula:
interest = (principal * rate * time)
73.79 = (5000 * rate * (60/365)
Rate = 73.79/(5000 * (60/365)) =8.977%
rate = 9%
Therefore, PERCENTAGE ANNUAL RATE is 9.0%
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Colin stacks 3 snowballs on top of each other to make a snowman. The snowballs are \dfrac7{10} \text{ meter} 10 7 meterstart fraction, 7, divided by, 10, end fraction, start text, space, m, e, t, e, r, end text, \dfrac12 \text{ meter} 2 1 meterstart fraction, 1, divided by, 2, end fraction, start text, space, m, e, t, e, r, end text, and 38 \text{ centimeters}38 centimeters38, start text, space, c, e, n, t, i, m, e, t, e, r, s, end text tall. What is the total height of the snowman in centimeters?
Answer:
[tex]Total = 158cm[/tex]
Step-by-step explanation:
Given
[tex]x: \dfrac7{10}m, \dfrac12m,38cm[/tex]
See comment
Required
The total height
This is calculated as:
[tex]Total = \sum x[/tex]
So, we have:
[tex]Total = \dfrac7{10}m+ \dfrac12m+38cm[/tex]
Express m as cm
[tex]Total = \dfrac7{10}cm * 100+ \dfrac12cm * 100+38cm[/tex]
[tex]Total = 70cm + 50cm + 38cm[/tex]
Take LCM
[tex]Total = 158cm[/tex]
Answer: ♔158 centimeters.☯ Trust me it is correct. ヾ(•ω•`)o
If there are
12 books in the rack, a person has to choose 5
out of them. In how many ways
can he choose books,if one
book is never selected?
Answer:
462 ways
Step-by-step explanation:
One book never selected means 12 - 1 = 11.
So to find the number of ways, 11C5 which equals to: 11!/(5!(11-5)!) = 462
Please help asap! Easy question :)
Two fair dice are rolled. Determine the following probability:
P(one number is a multiple of 4 and the other is a multiple of 6)
Answer:
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Total outcomes:
For the pair of dice:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
So 36 total outcomes.
Desired outcomes:
One multiple of 4 and one multiple of 6.
2 possible outcomes: (4,6) or (6,4)
Probability:
2 outcomes out of 36, so:
[tex]p = \frac{2}{36} = \frac{1}{18}[/tex]
Then
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. How many bags should be selected so that the standard deviation of the sample mean is 0.1 ounces?
a. 8 bags
b. 10 bags
c. 64 bags
d. 100 bags
Answer:
100 bags
Step-by-step explanation:
S.E = σ/ √n
0.1 = 1 / √n
Square both sides
0.1² = 1² / n
0.01 = 1 / n
0.01n = 1
n = 1 / 0.01
n = 100
please please help its timed -H.M
Answer:
1
General Formulas and Concepts:
Algebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
f(-2)
Step 2: Evaluate
f(-2) is x = -2 for function f(x).
According to the table, when x = -2, f(x) = 1.
∴ f(-2) = 1
Find the missing side round your answer to the nearest tenth.
Answer:
x=74.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 22 = 30/x
x tan 22 = 30
x = 30/ tan 22
x=74.25260
To the nearest tenth
x=74.3
y=4.5x+13.45 y=6x-4.55
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
12
,
67.45
)
Equation Form:
x
=
12
,
y
=
67.45
Find the value of X. Round to the
nearest tenth.
Answer: 8.1
Step-by-step explanation:
4^2 + X^2 = 9^2
16 + X^2 = 81
X^2 = 81-16
X = sqrt 65 = 8.1
caron makes $6 every 30 minutes. using the double number line diagram below, how much money would she make if she worked 80 minutes at the same rate?
Answer:
$16
Step-by-step explanation:
Both lines start at 0 and at 30 mins it is $6. It displays a ratio so that means every 10 mins they earn $2
Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The determinant of a triangular matrix is the sum of the entries on the main diagonal Choose the correct answer below.
A. The statement is true. Cofactor expansion along the row (or column) with the most zeros of a triangular matrix produces a determinant equal to the son of the tries to the radar
B. The statement is true. The determinant of A is the following finite series. n det A= (-1)* laj, det A1 J = 1 In a triangular matrix, this series simplifies to the sum of the entries along the main diagonal.
C. The statement is false. The determinant of a matrix is the arithmetic mean of the entries along the main diagonal OD The statement is false. The determinant of a triangular matrix is the product of the entries along the main diagonal
What is the order of rotational symmetry for the figure?
A. 3
B. 2
C. 4 or more
D. 1
9514 1404 393
Answer:
C. 4 or more
Step-by-step explanation:
Rotating the figure in increments of 90° will give the same figure. There are 4 such rotations in a full turn. The order of rotational symmetry is 4.
Factor the trinomial. Write the answer in binomial fctor form.
2x^2– 13x + 11
9514 1404 393
Answer:
(2x -11)(x -1)
Step-by-step explanation:
The middle term can be rewritten as a sum using the coefficients of the first and last terms. Then the expression can be factored by pairs of terms.
2x^2 -13x +11 = 2x^2 -2x -11x +11 = 2x(x -1) -11(x -1)
= (2x -11)(x -1)
The price of the cinemas meal deal has increased from £7.25 to £9.28.
What is the percentage change in price?
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Answer:
8.28% increase i believe
Step-by-step explanation:
formula: final amount - initial ÷ initial amount.
9.28-7.25= 2.03. now divide by the initial amount. 2.03÷7.25=8.28.
so, an 8.28% increase to the price
Question 8
A student earned 30 out of 35 points on a
the total points did the student earn? Round it off to the nearest precent
The function g(x)=8(4*) is reflected across the x-axis to
create f(x).
What is the equation of f(x)?
O f(x)=8(4)
O f(x)=-8(4)*
14
9(x)
12
10
o f(x)=8(4)
o f(x)=-8()
do
OR
4
2
A
-3
-2
2
3
х
-10
-12
f(x)
14
9514 1404 393
Answer:
(b) f(x) = -8(4^x)
Step-by-step explanation:
Reflection across the x-axis multiplies the function by -1.
f(x) = -g(x) = -8(4^x)
1 Construct the following triangles. You will need a ruler and a protractor.
a) Triangle ABC, where AB = 5 cm,
Answer:
abcdefghijklmnopqrstuvwxy and z
Step-by-step explanation:
Let f(x, y) = 2xy − 3xy + y + 1. Find the derivative of f with respect to y.
Answer:
2x-3x+1
Step-by-step explanation:
f'(x,y)=2x-3x+1
HELP !
Find the measure it the given angle.
Answer:
it's 90
Step-by-step explanation:
inscribed angle intercepts a semicircle is always 90
I need help answering this ASAP
The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds are
dated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.
Interest is paid annually each December 31. Compute the bond carrying value as of December
31, 2024.
According to the given values in the question:
The Amortization period is:
= [tex]8 \ years\times 12 \ months[/tex]
= [tex]96 \ months[/tex]
Number of months of Amortization is:
= [tex]3 \ months \ in \ 2020+(4 \ years\times 12 \ months)[/tex]
= [tex]3+48[/tex]
= [tex]51 \ months[/tex]
Now,
On bonds payable, the premium will be:
= [tex]Issue \ price - Face \ value[/tex]
= [tex](100000\times 103 \ percent)- 100000[/tex]
= [tex]103000-100000[/tex]
= [tex]3000[/tex] ($)
The Unamortized premium will be:
= [tex]Premium - Unamortized \ premium[/tex]
= [tex]3000-(3000\times \frac{51}{96} )[/tex]
= [tex]3000-1593.75[/tex]
= [tex]1406.25[/tex] ($)
hence,
The carrying value as of December 31, 2024 will be:
= [tex]100000+1406.25[/tex]
= [tex]101406.25[/tex] ($)
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Một công ty sản xuất một thùng hình trụ tròn không có nắp và có thể tích 8x ft Chi phí sản xuất đáy là 2 USD / ft ?, chi phí sản xuất mặt bên là 4,8 USD / ft . Hỏi chi phí tối ưu nhất để sản xuất cái thằng này là bao nhiêu USD ?,
Answer:
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Damaged items are marked down 25% to 40%. A newspaper coupon holder; to an additional 10% markdown of the new price due to the damage. What is the lowest price of a damaged item that was originally marked GHC100?
A GHC 35.60
B GH 5000
C. GHC 18.00
D. GHC 40.80
E GHC 23.40
Markdown is the difference (at sale) between the price an item is placed at for retail sale, and the actual price the item is sold
The correct option is; B. GHC 50.00
The reason for choosing option B is as follows;
The known parameters
The percentage by which damaged items are marked down = 25% to 40%
The percentage markdown offered by the newspaper coupon = 10%
The original marked price of the item = GHC 100
Strategy:
Apply the damaged items and coupon markdown percentages to the original marked price of GHC100 sum the results to find the total markdown
Solution:
Markdown due to damage:
Given that the item is damaged, to have the lowest price, we apply the largest markdown of 40%;
40% is removed from the price to which the item marked down due to damage, as follows;
The markdown due to damage = 40/100 × GHC 100 = GHC 40
Markdown due to Coupon Holder:
The markdown the coupon holder is to get = 10% off the retail price
Given that the damage is not mentioned in the newspaper, we have;
∴ The markdown the coupon holder is to get = 10/100 × GHC 100 = GHC 10
Total markdown:
The total markdown is therefore equal to GHC 40 + GHC 10 = GHC 50
The Lowest Price of A Damaged Items marked GHC100:
The lowest price of the item = Original price - Maximum markdown
The lowest price of the item = GHC 100 - GHC 50 = GHC 50
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A 6-pound container of detergent costs $4.38. what is the price per pound?
Answer:
.73 per pound
Step-by-step explanation:
Take the total cost and divide by the number of pounds
4.38/ 6
.73 per pound
(x + y, 2) = (13, 2x - y)
Answer: (x, y) = (5,8)
Step-by-step explanation:
x + y = 13 2x - y = 2
y = -x + 13
2x - (-x + 13) = 2 3x =15
x=5
x=5 y = -x + 13
y = -(5) + 13 = 8
