Answer:
The answer is "p= $5,246".
Step-by-step explanation:
Using formula:
Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)
[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]
[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]
1. Which of the following is rounded off to 2 significant figures correctly? *
a. 23.92 = 25
b. 4.801 = 4.8
c. 347 = 35
d. 482 = 50
Answer:
b
Step-by-step explanation:
significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures
Find the segment length indicated. Assume the lines which appear to be
tangent are tangent. The center is marked.
6.6
6.6
O 16.9
O 8.9
O 10.2
O 11.2
Whats the answer for d.)
Correct answer please
I’ll be giving brainliest
Thank you for helping!!
Which symbol makes this sentence true: 4/9 O 7/15
Answer:
4/9>7/15
Step-by-step explanation:
Square root of -1 = 1. Math test
Answer:
false. the sqrt of -1 = i
Step-by-step explanation:
413÷19= divide then check using multiplication
Round 62.85 to the nearest tenth
Answer:
62.9
Step-by-step explanation:
Follow the rounding rules.
Remember the tenths place is one place after the decimal point.
Help me please! I’ll mark as brainliest!!
Answer:
I think its C. but i might be wrong.
Step-by-step explanation:
Use the graph of f(x) = x2
to write an equation for the function represented by each graph.
Answer:
cant see the graph nor the values of the function
Seth makes an array with 6 rows and 9 columns. Miri makes an array of 9 rows and 6 columns.
The arrays have ? number of items because of the ? Property.
any help with this problem, thank you so much .
Answer: Both Seth and Miri will get the same answer.
Step-by-step explanation:
We know that 6 times 9 is 54.
Now, 9 times 6 is also 54.
The order of multiplication do not matter.
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 1994 earthquake was about 40 times the intensity of the 2014 earthquake.
Step-by-step explanation:
1994 earthquake:
6.7I=logI=106.7
2014 earthquake:
5.1I=logI=105.1
Form a ratio of the intensities.
intensity for 1994intensity for 2014
Substitute in the values and divide by subtracting the exponents to find
106.7105.1101.6≈40.
The intensity of the 1994 Northridge earthquake in the Los Angeles area was about 40 times the intensity of the 2014 earthquake.
Percent of change from $. 79 to 3.72
Answer:
470.89%
3.72 divided by 0.79 = 4.70886076
470.89%
Step-by-step explanation:
quiz 2 : percent and percentage
change the decimal 0.82 to a percent
A. 0.8%
B.82%
C.90%
D. None of these choices are correct
Answer:
82%
Step-by-step explanation:
0.82x100=82
=82%
Hope this helps
Answer:
B. 82%
Step-by-step explanation:
.82 can also be written as 82/100 and 82/100 can be turned into 82% because they are all based on 100
stion No. 8
Which of the following statements is false?
a) Two vertically opposite angles can be acute
b) Two vertically opposite angles can be obtuse
c) Two vertically opposite angles can be right angles
d) Two vertically opposite angles may be unequal
0
(4) d
D is incorrect because two vertically opposite angles HAVE to be equal there for D is false.
Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k
Answer:
[tex]k = 9[/tex]
Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:
[tex]r = \frac{T_{n}}{T_{n-1}}[/tex]
In other words:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex]
Where 1, 2 and 3 represents the terms of the progression/sequence
So:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex] becomes
[tex]\frac{k+55}{k+7} = \frac{k+7}{k-5}[/tex]
Cross Multiply:
[tex](k+55)(k-5) = (k+7)(k+7)[/tex]
Open Brackets
[tex]k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49[/tex]
[tex]k^2 + 50k- 275 = k^2 + 14k + 49[/tex]
Collect Like Terms
[tex]k^2 - k^2 + 50k-14k = 275 + 49[/tex]
[tex]36k = 324[/tex]
Solve for k
[tex]k = 324/36[/tex]
[tex]k = 9[/tex]
The sum of infinity of the series 2/3 – 4/3² + 2/3³ + 4/3⁴ is
Answer:
[tex] \frac{3}{4} - \frac{2}{4} = \frac{1}{4} [/tex]
Answer:
7/20Step-by-step explanation:
It seems there are two patterns in the series:
2/3, 2/3³, ... with a₁ = 2/3 and r = 1/9- 4/3², 4/3⁴, ... with a₁ = -4/9 and r = -1/9Using sum of infinity of the geometric series formula:
S∞ = a₁/(1 - r)Applying this to both patterns:
S₁ = 2/3÷(1 - 1/9) = 2/3 ÷ 8/9 = 2/3×9/8 = 3/4S₂ = -4/9÷(1 - (-1/9)) = -4/9÷10/9 = -4/9×9/10 = - 2/5Sum of the two results:
3/4 + (-2/5) = 5/5*3/4 - 4/4*2/5 =15/20 - 8/20 = 7/20Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
How do you do this question?
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
Simplify the expression. 16 x 4 -4
Answer:
The answer is 60
Step-by-step explanation:
16 x 4 - 4
64 - 4
60
Hope this helped!
What is 5x + 1 - 2x - 3?
Answer:
3x - 2
Step-by-step explanation:
5x +1 -2x -3 Combine like factors with x
5x -2x = 3X
3x +1 -3 Combine like factors without x
1 -3 = -2
3x - 2In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?
Answer:
42 ft
Step-by-step explanation:
4.2/1=4.2
4.2*10=42 ft
PLS GIVE BRAINLIEST
Answer:
42
Step-by-step explanation:
1 cm=10ft on the diagram
so the only thing we have to do is multiply.
4.2x10=42 make sure your answer is in FT not CM
so for example
42ft. Units are important XD
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 2) and perpendicular to the plane x 4y z
Answer:
The answer is "[tex]x=1+t\\y=0+4t\\z=2+1[/tex]"
Step-by-step explanation:
A(1,0,2) perpendicular to x+4y+z=2 plane
The vector of direction is v[1,4,1].
The [tex]eq^n[/tex]and parametric [tex]eq^n[/tex] formulas also for line
[tex]r(t)=A+tv\\ \\r(t)= (1,0,2)+t(1,4,1)[/tex]
[tex]x=1+t\\y=0+4t\\z=2+1[/tex]
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
1
x = (5 + 1-271) - 1-41. Solve for x.
x = 307. Hope that helped :)
20 points if you answer
Answer:
C.
Step-by-step explanation:
Its C becase, A is not a viable answer because the some of the outputs are not positive. And not B because one input yields 1 output not multiple so its not B. And its not D because as you can see the 'y' side has 2 of the same numbers so its not D. Therefore, the answer is C!
Answer:
C
Step-by-step explanation:
57% is greater than, less than, or equal to 1
Answer:
Less than
Step-by-step explanation:
Answer:
57% is less than
Step-by-step explanation:
To convert from percentages to counting numbers, we move the decimal in the percentage two places behind its original point.
57.0% ---> .57
.57 < 1
pls help I appreciate anyone that helps me
Answer:
The slope is (8) positive, so the amount should be positive.
I opened a savings account with $110 worth of birthday money and I make $8 a month.
Step-by-step explanation:
The slope is 8 so a positive number
Mr. Jones got four seats on the school's trip to Grand
Canyon for his students. In how many different ways Mr.
Jones can select a group of four from his class of 36?
Answer:
D. 58,905
Step-by-step explanation:
Number of seats available for Mr. Jones had for the trip = 4
Number of students in his class = 36
Number of ways he can select a group of 4 out of 36 students from his class is calculated as follows:
[tex] C \binom{36}{4} = \frac{36!}{(36 - 4)! * 4!)} [/tex]
[tex] = \frac{36!}{(32! * 4!)} = 58,905 [/tex]
2logx+3logy=0 find y in term of x
Answer:
y = x^(-2/3)Step-by-step explanation:
Given
2log x + 3log y = 0Finding y in terms of x
3log y = -2log xlog y = -2/3log xlog y = log x^(-2/3)y = x^(-2/3)Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2log_x+3log_y=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3log_y=-2log_x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac{2}{3}}x [/tex]
Daniel received $150 for his birthday this year. this was $10 less than half the amount he received last year. How much money did Daniel receive for his birthday last year?
Answer:
He received $320 last year
Step-by-step explanation:
Answer:
$320
Step-by-step explanation:
2(150 + 10)= x. x=2(160) x=320. SO he actually got 320 dollars for his birthday last year.