Answer:
14, 15, 16
Step-by-step explanation:
n + n+1 + n + 2 = 45
3n + 3 = 45
3n = 42
n = 14
14, 15, 16
Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answer:
15x/2*4
Step-by-step explanation:
A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6
gradient =
intercept =
Q2.
y = 2 - 2x
gradient =
intercept=
Answer:
gradient 10, intercept 6gradient -2, intercept 2Step-by-step explanation:
The "gradient" is the coefficient of x. The "intercept" is the constant.
__
Q1gradient: 10
intercept: 6
__
Q2gradient: -2
intercept: 2
Q1.
For the line equation Y = 10x + 6:
The gradient is the coefficient of x, which is 10.
The intercept is the constant term, which is 6.
Q2.
For the line equation y = 2 - 2x:
The gradient is the coefficient of x, which is -2.
The intercept is the constant term, which is 2.
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Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
Find Y
LOOK AT THE PICTURE
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36
A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points
Answer:
$138
Step-by-step explanation:
120 · 0.15 = 18
120 + 18 = 138
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
i need help with this!!
Answer:
Kim is younger than 6 years
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is the answer -v+91=261
Answer:
v = -170
Step-by-step explanation:
-v + 91 = 261
(-v + 91) - 91 = 261 - 91
-v = 170
-v / -1 = 170 / -1
v = -170
Step-by-step explanation:
(-v) +91 = 261
(-v) =91=261
(-v)=261-91
(-v)=170
v= - 170 (change the signs)
i need help please!!!!
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
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A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
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Solve and show your work for each question...
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
Please help with this !
Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.
Answer:
625Step-by-step explanation:
Let the digits be:
abcdEach of them include numbers 1 through 5.
For each digit there are 5 options.
Total number of combinations is:
5*5*5*5 = 625Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?
Step-by-step explanation:
79×0.08 = 6.32 (tax)
79(price) + 6.32(tax) = 85.32
ARAT TIETE (Simplify): V125 - V45+ V5
Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{125}[/tex]
= [tex]\sqrt{25(5)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]
= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{5}[/tex]
What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0
Answer:
y=4
Step-by-step explanation:
x1=4,y1=4,m=0
Equation of a line: y-y1=m(x-x1)
y-4=0(x-4)
y-4=0
y=4
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
What is the value of |–3.25| ?
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answer:
40-d
Step-by-step explanation:
PLEASE HELP ME GUYS!!
this is your answer hope it's helpful for you
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?
Answer: 65.11%
Step-by-step explanation: