Answer:x = 4 1/2
19-2 1/2 x2 = 14-2 1/2 x2 = 9/2 = 4 1/2
Which equation represents the total interest, T, earned when the
principal amount is $100, the annual simple interest rate is 1%, and
the number of years is 10?
T = 100 # (10 + 0.1) T = 100 # 0.1 # 10
T = 100 # (10 + 0.01) T = 100 # 0.01 # 1
The required equation represents the total interest, T, earned when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10 is (T) = 100 × 0.1 × 10.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
interest = Principal×rate×time
Amount = Principal [1 + rate×time]
Here,
From the given data, the total interest, T, earned when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10.
Interset (T) = 100 × 0.1 × 10
Thus, Option B is correct.
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2 of 6
Brian and Colin are marking exam papers. Each set takes Brian 43 minutes and Colin 1 hour.
Express the times Brian and Colin take as a ratio in its simplest form.
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8
9
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у
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i
0
р
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4
5
6
a
S
d
f
g
h
k
1
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what is the answer?
The ratio of the time taken by Brian and Colin to mark exam papers is 43 minutes to 1 hour. Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.
To express the times taken by Brian and Colin as a ratio, we need to convert their times to a common unit. Since both Brian and Colin's times are given in minutes and hours respectively, we need to convert Colin's time to minutes.
We know that 1 hour is equal to 60 minutes. Therefore, Colin's time of 1 hour can be expressed as 60 minutes.
Now, the ratio of Brian's time to Colin's time is 43 minutes to 60 minutes. However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 1.
Dividing 43 and 60 by 1 gives us the simplified ratio of 43:60. This ratio cannot be further simplified since there is no common factor greater than 1 between 43 and 60.
Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.
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If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be
Answer:
So since the formula for perimeter is 2(w+h)
200 = 2(w+h)
that means that
100 = w+h
100 = 36+x
x=
64 UNITS
Step-by-step explanation:
PLS TELL ME WHAT THE LETTERS ARE FOR BRAINYLEST AWNSER
Answer:
#1 : x= -16.5
#2 : x= 3.6
#3 : x= -75
#4 : x= 10 1/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope it helps :)
Please mark me brainlist!
Find the value of x that makes triangle ABC congruent to triangle DEF
Answer:
4
Step-by-step explanation:
3*9=9(x-1)
x-1=3
x=4
Solve for x.
x - 10 = 6 + 5x
x = [?]
hello
the answer to the question is:
x - 10 = 6 + 5x ----> x - 5x = 6 + 10 ----> - 4x = 16
----> x = - 4
Latoya builds a border for her strawberry plot, which is shaped like a square. All the sides measure 5 feet. How many feet of border does she need to buy?
The amount of feet of border that she needs to purchase is given as follows:
20 feet.
How to obtain the perimeter of a square?The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:
P = 4s.
All the sides measure 5 feet, hence the parameter s is given as follows:
s = 5.
Then the perimeter of the square plot is given as follows:
P = 4 x 5
P = 20 feet.
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Suppose we know the prices of zero-coupon bonds for different maturities with par values all being $1,000. The price of a one-year zero coupon bond is $959.63; The price of a two-year zero- coupon bond is $865.20; The price of a three-year zero-coupon bond is $777.77; The price of a four-year zero-coupon bond is $731.74. What is, according to the liquidity performance hypothesis, the expected forward rate in the third year if ∆ is 1%? What is the yield to maturity on a three-year zero-coupon bond?
According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.
To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.
The rate of return on a four-year zero-coupon bond is then calculated as follows:
Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.
Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.
The expected rate in the third year can be calculated using the formula:
Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1
By substituting the values, we find:
Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%
If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:
Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%
Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.
Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:
Yield to maturity = (1000 / Price of bond)^(1/n) - 1
Substituting the values, we find:
Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%
Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.
In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
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Which expression will produce an answer with the fewest significant figures?A. 15.4 - 8.1B. 4350 - 2210C. 18.8 - 6.5D. 54.5 * 30.7
we have following:
\(\begin{gathered} 15.4-8.1=7.3\cong7\rightarrow2sf \\ 4350-2210=2140\rightarrow3sf \\ 18.8-6.5=12.3\cong12\rightarrow3sf \\ 54.5\cdot30.7=1673.15\cong1670\rightarrow3sf \end{gathered}\)therfore, the answer is the option A.
Find the volume of figure B. Round your answer to two decimal places.
Which are possible?
If you could move the black shape up and down, and
left and right (but without spinning, stretching or flipping
it), which of these shapes could you match exactly?
(Select all that apply)
DA
B
с
original
1
1) Find the average of the numbers:
8, 9, 1, 3, 4, 2, 6, 7, 2, 4
3x + 5y = 8
-9x - 15y = - 24
ayudeneme con esta ecuacion de igualacion
Answer:
así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice
Step-by-step explanation:
de nada!!!
Use the reverse order of operation to solve this problem.
2m = 1
Answer: m = 1/2 or 0.5
Step-by-step explanation:
The order of operation within this problem is multiplication meaning we must divide instead.
2m = 1
2m/2 = 1/2
m = 1/2 or 0.5
Mary wants to have 8500
to travel to South America when she is
21. She currently has 6439
in a savings account earning 4%
annual compound interest. Mary is 13
now.
Will Mary have enough money for her trip when she is 21
?
well, she's 13 now, and when she'll be 21 that's 8 years later, so
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6439\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases}\)
\(A = 6439\left(1+\frac{0.04}{1}\right)^{1\cdot 8}\implies A=6439(1.04)^8 \implies \stackrel{ \textit{yeap, she will \checkmark} }{A \approx 8812.22}\)
on: 5r-9e + 2 if r = 3 and e = 4
Answer: -19
Step-by-step explanation: 5 x 3 = 15
9 x 4 = 36
15 - 36 = -21
-21 + 2 = -19
Item 1
Which measurement is equivalent to 1 kilogram?
10,000 grams
1,000 grams
100 grams
10 grams
Draw a A PQR if PQ = 6.5cm, m< PQR=75 °and m <PRQ=45° using ruler and compasses
only.
Answer:
Check your question well
Step-by-step explanation:
U didn't ask to draw angle p so how can we get the angle r
A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes (8 pts)
Answer:
the possible outcomes contain the same number of heads and tails are 70.
tell me if i am right
For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.
When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.
For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.
Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.
Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.
This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.
For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:
\(8! / (3!5!) = 56\)
So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.
In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.
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18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work
Answer:
13.
Step-by-step explanation:
65-52=13
The vertices of a square are A (-6, 4), B(-1, 6), C(1, 1), and D( -4, -1). How long is the diagonal?
1. √29 units
2. 2√29 units
3. √58 units
4. 2√58 units
Answer:
\( \sqrt{58} \)
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
Which list below shows the fractions in order from least to greatest?
Answer:
I'll explain
Step-by-step explanation:
1/8 is the least because it is the smallest fraction
1/6 is the next smallest fraction
then 1/5 is the text smallest
and 1/4 is the biggest fraction
Answer:
1/8
1/6
1/5
1/4
This is in order from least to greatest starting at the top
\( \sqrt{3x + 13} = \sqrt{6x + 1} \)
3х + 13 = 6х +1
Step-by-step explanation:
hope it is helpful to you
Answer:
solution given;
\( \sqrt{3x + 13} = \sqrt{6x + 1} \)
3х + 13 = 6х +1
13-1=6x-3x
3x=12
x=\( \frac{12}{3} \)=4
x=4
in the equation, is a(n) _____. a. dependent variable b. slope parameter c. intercept parameter d. independent variable
In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) slope parameter. Option B is the correct answer.
In the given equation, y is the dependent variable, x1, and x2 are independent variables, β0 is the intercept parameter, β1 is the slope parameter for x1, β2 is the slope parameter for x2, and u is the error term. Therefore, β2 represents the effect or impact of the independent variable x2 on the dependent variable y, holding other independent variables constant.
Understanding the role and significance of each parameter is essential for interpreting the results of statistical models and drawing meaningful conclusions from the data.
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The question is -
In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) _____.
a. independent variable
b. dependent variable
c. slope parameter
d. intercept parameter
At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?
Answer:
24
Step-by-step explanation:
$2 divided by 4 equals 50 cents
50 cents per copy
$12 will get you 24 copies
Answer:
24 copies
Step-by-step explanation:
$2 ----- 4 copies
$1 ----- 4 ÷2= 2 copies
$12 ----- 2(12)= 24 copies
Alternatively, we can present our working this way:
For every $2, 4 copies can be made.
Number of sets of $2 in $12
= $12 ÷$2
= 6
Since there are 6 sets of $2 and each set of $2 can make 4 copies,
number of copies
= 6(4)
= 24 copies
what is The Product of 4 and z is the same as 16 as an equation
Answer:
4(z) = 16
Step-by-step explanation:
Product = the result of multiplication.
The same as = the equal sign.
Answer:
4z = 16
Step-by-step explanation:
The is equation is:-
4z = 16
Value of z:-
z = 16/4
z = 4
la circunferencia de un jardín circular es de 116,18 pies ¿cual es el radio del jardín? use 3.14 para el π es urgente regalo corona
Answer:
ml ml ml ml ml
Step-by-step explanation:
ml ml ml ml MLシ︎
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic,
P-value, critical value(s), and state the final conclusion.
Test the claim that for the population of female college students, the mean weight is given
by u = 132 lb. Sample data are summarized as n = 20, x = 137 lb, and s = 14.2 lb. Use a
The test statistic is at α = 0.10 we have sufficient evidence that means weight is given by μ = 132 lb.
What is p-value?
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, presuming that the null hypothesis is true.
As given,
State the hypothesis,
Ha: μ = 132
Ha: μ ≠ 132 (two failed test)
Test satisfies:
As σ is unknown we will use t-test satisfies
t = (x - μ)/(s/√n)
Substitute values,
t = (137 - 132)/(14.2/√20)
t = 1.57
t satisfies is 1.57.
Critical values,
P(t < tc) = P(t < tc) = 0.05
using t table at df = 19
tc = ±1.729
So value is tc = (-1.729, 1.729)
P-value:
P(t > ItstatI) = p-value
P(t > I1.57I) = p-value
Using t-table
p-value = 0.1329
given
α = 0.10
So, p-value < α
Do not reject Null hypothesis.
Conclusion:
At α = 0.10 we have sufficient evidence that means weight is given by μ = 132 lb.
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b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)