Answer:
$278.15×60= $16688.969
Step-by-step explanation:
Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk
To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:
Formula for monthly payments
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= monthly payments
P= mortgage loan value
r= interest rate on loan
n= number of payments = 15×12= 180 monthly payments
Substitute :
A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1
A= $113500×0.0495×296.104/5980.90
A= $113500×0.0495×0.049508
A= $278.15
To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment
60×$278.15= $16688.969
Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *
Answer:
The inequality f ≥ 4n +2 is true for all values of 'f'
Step-by-step explanation:
Explanation:-
Let 'f' represents any number
The set of even integers greater than '4'
f = { 6, 8, 10,12, 14 ,.............}
we have to write the inequality equation
f ≥ 4n +2
Final answer:-
The inequality f ≥ 4n +2 is true for all values of 'f'
7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.
Answer:
83 and 91
Step-by-step explanation: 10 rows of 8.
8x10 =80
80+3=83
Next option 11 rows of 8
8x11=88
88+3=91
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]
This spyware is detected 66% of the time.
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
Does anybody know the answer to this
Answer: I believe it's b
Step-by-step explanation:
\pi = 3.14159265...
It is most likely b
Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.
Answer:
8y + 7
Step-by-step explanation:
add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7
Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
what is the remainder when 849,400 is divided by 216
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
Answer:
see belowStep-by-step explanation:
to understand thisyou need to know about:algebraPEMDASlet's solve:given function:
[tex] \quad \rm\: f(x) = - 2x +8[/tex]
when x is 0
[tex] \sf \:f(0) = - 2.0 + 8[/tex]
simplify multiplication:
[tex] \sf f(0) = 8[/tex]
when x is 3
[tex] \sf f(3) = - 2.3 + 8[/tex]
simplify multiplication:
[tex] \rm \: f(3) = - 8 + 8[/tex]
add:
[tex] \rm \: f(3) = 0[/tex]
when x is 6
[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(6) = - 12 +8[/tex]
simplify addition:
[tex] \quad \rm\: f(6) = -4[/tex]
when x is 9:
[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(9) = - 18 + 8[/tex]
simplify addition:
[tex] \quad \rm\: f(9) = - 10[/tex]
Answer:
when x =0
f(x)=-2×0+8=8
when x =3
f(x)=-2×3+8=2
when x =6
f(x)=-2×6+8=-4
when x =9
f(x)=-2×9+8=-10
Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
number of hours worked, h. Which equation correctly represents the
situation?
Oe= 9.25h
Oh=9.25e
od=
9.25
h
Oh=
9.25
d
Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive
Answer: 3 cents
Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field
Answer:
it is 679
Step-by-step explanation:
Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours
PLZ HELP WILL GIVE BRAINLEST
Answer:
The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)
Step-by-step explanation:
First....I'll do it my way
z - 4.5 = -1.5
Add 4.5 on both sides
z - 4.5 + 4.5 = -1.5 + 4.5
z = 3
This should be our answer.....and so who did it right?
Cedric did
Which is the true statement?
Cedric is correct because he used the inverse of subtraction and added 4.5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27
Answer:
area of rectangle =length ×width
area of rectangle=12yd×15yd
area of rectangle=180yd²
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
-(-10)=?
Please help me with this equation!!
Answer:
+10
positive 10
:))))))))))
© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =
Simply (2^3)-2
0 - 1/64
0 1/64
0 2
0 64
The correct answer is,
[tex] \frac{1}{64} [/tex]
Answer:
1/64
Step-by-step explanation:
when exponents are separated by parentheses, multiply them
so (2³)^-2 = 2^-6
whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive
2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools
Answer:
its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest
The population of interest will most likely be option B. all of the sea urchins near the plant.
The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.
A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.
Learn more about population of interest here:
brainly.com/question/16976252
Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.
Answer:
is 40.9
Step-by-step explanation:
The percent of change in the value of the car is 40.88%
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.
Percentage change = (32985-19500)/32985*100 = 40.88%
Hence, The percent of change in the value of the car is 40.88%
For more references on percentage, click;
https://brainly.com/question/29306119
#SPJ2
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
60% of what number is 33?
60 percent (calculated percentage %) of what number equals 33? Answer: 55.
Answer:
55 :)
Step-by-step explanation:
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
Which of the following is a rational number?
8
91
JT
48
49
Answer:
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction
Step-by-step explanation:
91, 49, 48, 8 are rational number
Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Just see what even number 52 can go into
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
need full solution or I'll report
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
Required diagram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}[/tex]
Solution :For a cylinder having a radius r and a height h ;
Volume Of Cylinder :
π r² .Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .
Converting ;
1 m³ = 1 × 10⁶ cm³ .> 1.54 × 10⁶ cm³ .> 1540000 cm ³.> π r² h = 1540000> 22/7 × 70 × 70 × h = 1540000> 22 × 10 × 70 h = 1540000> 15400 h = 1540000> h = 100 cm = 1 m.The height of the cylinder is 100cm.=1m.