Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.
First, we determine the value of the 5 installments using a 5% annual compounded rate.
We calculate the future value, and then the present value:
FV= {A*[(1+i)^n-1]}/i
A= annual payments
FV= {60,000*[(1.05^5) - 1]} / 0.05
FV= $331.537.88
PV= FV/(1+i)^n
PV= $259,768.60
At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.
Now, if the annual rate is 6% continuously compounded.
First, we need to calculate the effective interest rate:
r= e^i - 1
r= effective inerest rate
r= e^0.06 - 1
r= 0.0618
FV= {60,000*[(1.0618^5) - 1]} / 0.0618
FV= 339,443.23
PV= 339,443.23/1.0618^5
PV= $251,509.01
At an annual rate of 6% compounded continuously, she should choose the $255,000.
rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?
AB = AC = 25 and BC = 30. BD is perpendicular to AC . Find BD.
Answer:
15
Step-by-step explanation:
Sqr root of 225
Answer:24
Step-by-step explanation:
that's wrong, and I'm here to put the correct answer
take a look at this image, because ac=25 you set dc as x and ad as 25-x, then after that, you can form the equation root of 25^2-(x5-x)^2=root of 30^2-(x)^2 using the pythaeogrem theorem. After that you would get that x=18, then after that you just apply the theorem. 30^2-18^2 root which you would then get 24.
Given that R= 9x + 8y
Find y when x = 3 and R= 27
Answer:
1/3 or 0.3 (recurring)
Step-by-step explanation:
Let's substitute our numbers into the equation.
27 = 9x + 24 I multipled 8 by 3 in order to get 24, because x equals 3.
Now take away 24 leaving 9x on its own.
3 = 9x
Divide 9 to separate it from x.
3/9 = x
Simplify the fraction.
1/3 = x
Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.
Answer:
1260
Step-by-step explanation:
Tents: 15×54=810
Caravans: 25×18=450
450+810=1260
Answer:
$1260
Step-by-step explanation:
Campsite Fees:
Tent - $15 (per day)
Caravan - $25 (per day)
No. of Tents and Caravans today:
Tents - 54
Caravan - 18
Total fees for Tent = 15 x 54
= $810.
Total fees for Caravan = 25 x 18
= $450.
Fees altogether for Today = Total fees for Tent + Total fees for Caravan
= $810 + $450
= $1260
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
Some isosceles triangles are not equilateral.
O A. True
O B. False
Find (x + 3)(4x - 1). *
O4x2 - 11x-3
O 4x^2 + 11x - 3
O 4x^2 + 13x - 3
4x^2 + 12x - 3
Answer:
Step-by-step explanation:
(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3
Solve the equation.
-(1+7x) - 6(-7- x) = 36
a)
5
X=--
6
b)x= -7
c) x = 13
d) x = 5
Answer:
x=5
Step-by-step explanation:
esa es la respuesta correcta
Answer: it D x=5
Step-by-step explanation:
find the answer?
35-y=21
What is 1.905 written as a mixed number in simplest form?
Answer:
1 9/10
Step-by-step explanation:
If you need this as a fraction then the answer is probably 1 9/10
The required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Given that,
To determine the mixed fraction of 1.905.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
A mixed number is a number consisting of a whole number and a proper fraction.
The given number,
= 1.905
= 1 + 0.905
= 1 + 905 / 1000
= 1 905 /1000
Thus, the required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Evaluate 11.5s + 10.7t when s = 7 and t = 8 .
Answer:
166.1
Step-by-step explanation:
It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1
Fill in the table using this function rule.
y=-2x +4
Answer
i think this is what you mean
Step-by-step explanation:
x y
2 0
1 2
0 4
-1 6
-2 8
ayo, i need help. willing to give brainliest to correct and first answer. it's for iready math bro.
Answer:
ay bro its 39 bc the q and r together they equal 39 plus you can also solve it with the calcliqiusnatine if you know what that is hope this helps!
Step-by-step explanation:
Answer:
29 degrees.
Step-by-step explanation:
The total of a triangle is 180 degrees.
If R = 27, that means that P and Q must make up 153 degrees.
The exterior and interior angle of Q will equal 180 degrees, as that is a straight line. Therefore, do 180 - 56 = 124, which is the degree measure of Q.
Lastly, do 153 - 124 to get 29 degrees for P.
Find the value of x and the value of y
Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
Write the equation in slope-intercept form
of the line graphed below
If you split the circle into 4 equal parts, how many degrees will each piece be? Show your work.
Answer:360 degrees in a circle divide by 4 is 90
Step-by-step explanation: there are 360 degrees in a circle so divide that by 4 and you get 90
The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3
Let x be the width
width = x
Length is twice its width
length = 2x
Perimeter = length + width + length + width
Perimeter = x + 2x + x + 2x = 6x
Given that perimeter = 7 1/3
6x = 7 1/3
x = 7 1/3 ÷ 6 = 1 2/9
So width = 1 2/9
Length = 1 2/9 x 2 = 2 4/9
Area = length x width
Area = 1 2/9 x 2 4/9
Area = 2 80/81 square cm
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
3
A)
10
13
B)
50
14
C)
25
11
D)
25
Answer:
11/25
Step-by-step explanation:
15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.
Probability (yellow) = 22/50 = 11/25
Answer:
[tex]\frac{11}{25}[/tex] chance
In percent form;
44%
Step-by-step explanation:
1. Approach
First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex]
2. Find the amount of yellow marbles
Subtract the number of red and blue marbles from the total marbles in the bag;
[tex]total_{.}marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22[/tex]
There are [tex]22[/tex] yellow marbles.
3. Find the probability of selecting a yellow marble
Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex] and a percent is out of 100. Using this knowledge one can set up a proportion in the format;
[tex]\frac{desired_{.}outcomes}{total_{.}outcomes} = \frac{percent}{100}[/tex]
Substitute;
[tex]\frac{22}{50}=\frac{percent}{100}[/tex]
Simplify,
[tex]\frac{11}{25}=\frac{percent}{100}[/tex]
Cross products,
[tex]\frac{11}{25}=\frac{percent}{100}\\\\1100=25*(percent)\\[/tex]
Inverse operations;
[tex]1100=25*(percent)\\/25\\\\44=percent[/tex]
The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr when it is used in a particular cassette player.Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails.
(a) What is the probability that the player functions for at least 6 hr?
(b) What is the probability that the cassette player works for at most 9 hr?
Answer:
Step-by-step explanation: o847434y3u3u44y4u5u5u5uu6
plz help this is hard for me What is the area of this figure?
Answer:
21 m^2
Step-by-step explanation:
(5*2) + (6*2) - (1*1) = 21
10x (4 +2) = 10 x6 =60
A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)
Answer: it’s a Constant!
Step-by-step explanation:
ntries into T Accounts and Trial Balance
Connie Young, an architect, opened an office on October 1, 20Y4. During the month, she completed the following transactions connected with her professional practice:
Transferred cash from a personal bank account to an account to be used for the business, $66,600.
Paid October rent for office and workroom, $6,700.
Purchased used automobile for $43,000, paying $10,000 cash and giving a note payable for the remainder.
Purchased office and computer equipment on account, $13,300.
Paid cash for supplies, $3,200.
Paid cash for annual insurance policies, $4,500.
Received cash from client for plans delivered, $16,700.
Paid cash for miscellaneous expenses, $1,800.
Paid cash to creditors on account, $3,860.
Paid $530 on note payable.
Received invoice for blueprint service, due in November, $2,200.
Recorded fees earned on plans delivered, payment to be received in November, $11,500.
Paid salary of assistants, $3,500.
Paid gas, oil, and repairs on automobile for October, $870.
Required:
1. Record the above transactions (in chronological order) directly into the T accounts. To the left of the amount entered in the accounts, select the appropriate letter to identify the transaction.
2. Determine account balances of the T accounts. Accounts containing a single entry only (such as Prepaid Insurance) do not need a balance.
Cash
fill in the blank ee9b75febf99fe7_2
fill in the blank ee9b75febf99fe7_4
fill in the blank ee9b75febf99fe7_6
fill in the blank ee9b75febf99fe7_8
fill in the blank ee9b75febf99fe7_10
fill in the blank ee9b75febf99fe7_12
fill in the blank ee9b75febf99fe7_14
fill in the blank ee9b75febf99fe7_16
fill in the blank ee9b75febf99fe7_18
fill in the blank ee9b75febf99fe7_20
fill in the blank ee9b75febf99fe7_22
Bal. fill in the blank ee9b75febf99fe7_23
Accounts Receivable
fill in the blank ee9b75febf99fe7_25
Supplies
fill in the blank ee9b75febf99fe7_27
Prepaid Insurance
fill in the blank ee9b75febf99fe7_29
Automobiles
fill in the blank ee9b75febf99fe7_31
Equipment
fill in the blank ee9b75febf99fe7_33
Accounts Payable
fill in the blank ee9b75febf99fe7_35
fill in the blank ee9b75febf99fe7_37
fill in the blank ee9b75febf99fe7_39
Bal. fill in the blank ee9b75febf99fe7_40
Notes Payable
fill in the blank ee9b75febf99fe7_42
fill in the blank ee9b75febf99fe7_44
Bal. fill in the blank ee9b75febf99fe7_45
Connie Young, Capital
fill in the blank ee9b75febf99fe7_47
Professional Fees
fill in the blank ee9b75febf99fe7_49
fill in the blank ee9b75febf99fe7_51
Bal. fill in the blank ee9b75febf99fe7_52
Salary Expense
fill in the blank ee9b75febf99fe7_54
Blueprint Expense
fill in the blank ee9b75febf99fe7_56
Rent Expense
fill in the blank ee9b75febf99fe7_58
Automobile Expense
fill in the blank ee9b75febf99fe7_60
Miscellaneous Expense
fill in the blank ee9b75febf99fe7_62
3. Prepare an unadjusted trial balance for Connie Young, Architect, as of October 31, 20Y4. For those boxes in which no entry is required, leave the box blank.
Connie Young, Architect
Unadjusted Trial Balance
October 31, 20Y4
Debit
Balances Credit
Balances
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fill in the blank a257bb028f83050_9
fill in the blank a257bb028f83050_11
fill in the blank a257bb028f83050_12
fill in the blank a257bb028f83050_14
fill in the blank a257bb028f83050_15
fill in the blank a257bb028f83050_17
fill in the blank a257bb028f83050_18
fill in the blank a257bb028f83050_20
fill in the blank a257bb028f83050_21
fill in the blank a257bb028f83050_23
fill in the blank a257bb028f83050_24
fill in the blank a257bb028f83050_26
fill in the blank a257bb028f83050_27
fill in the blank a257bb028f83050_29
fill in the blank a257bb028f83050_30
fill in the blank a257bb028f83050_32
fill in the blank a257bb028f83050_33
fill in the blank a257bb028f83050_35
fill in the blank a257bb028f83050_36
fill in the blank a257bb028f83050_38
fill in the blank a257bb028f83050_39
fill in the blank a257bb028f83050_41
fill in the blank a257bb028f83050_42
fill in the blank a257bb028f83050_44
fill in the blank a257bb028f83050_45
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4. Determine the net income or net loss for October.
$fill in the blank 9acd7e077000f8b_2
18. The side length of a square is 7a 3b feet. What is the area of the square in feet? Box your final answer!
Answer:
ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw
Step-by-step explanation:
uieqnueru0njfqenu0fqenuen0rue0fuinfuine0
Write an expression equivalent to 9(8x + 5) + 7
Answer:
72x+52
Step-by-step explanation:
72x+45+7=72x+52
Is the quotient 3.6÷9 greater than or less than 1?explain to a friend
Answer: less than 1
Step-by-step explanation:
3.6/9 = 0.4
0.4 = 4/10 or reduced, 2/5
2/5 is less than 1
Answer:
The quotient of 3.6/9 is less than 1
Step-by-step explanation:
Quotient means the number we have once we divide two number
3.6/9 is equal to 0.4 and if it were to be greater than 1 there wouldn't be a zero in the ones place
Help!!!!!!!!!!!!!!!!!!!!!
PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33
Answer:
d
Step-by-step explanation:
Answer:
more than a number = addition
so it is D because the end result has to be 33.
Step-by-step explanation:
Hope this helped!
Please show work so i know how you got your answer..thank you and have a nice day<3
Answer:
V=whl=2·2.5·4=20
Step-by-step explanation:
Answer:
2880 feet³
Step-by-step explanation:
since the question is asking for cubic feet we know we're finding volume.
v=l·w·b
v=4·24·30
=2880