if George put $6,000 into a savings account that pays 3.5 percent in compound how many years would it take for him to have 18,000 dollars if no money is added or withdrawn during this time?(Round to the nearest tenth)
Answer:
57.1 years
Step-by-step explanation:
multiply the money put into savings by the interest rate 6000×.035=210
divide the total earned by the annual interest earned
12000÷210=57.1428571428
rounded to the nearest tenth is 57.1
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
Answer:135000
Step-by-step explanation:
Answer:
The field has an area of 135,000 m².
Step-by-step explanation:
We first convert the measurements from kilometers to meters by multiplying by 1000.
- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.
- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.
So the field is a rectangle 450 meters long and 300 meters wide.
To compute the are of this rectangle, we multiply its length by its width.
- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².
so the answer is 135,000 m².
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
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True or false: Removing the parenthesis from will change the result.
Answer:
true
Step-by-step explanation:
the steps won't be the same
Answer:
True
Step-by-step explanation:
In a equation with parenthesis it is VERY important to never take them out of the equation. The only reason for that is that the parentthesis are signaling you to solve what is in the parentthesis first. And if you where to move the parenthesis out your answer would be totally different. Hope this helped. (Brainliest?)
The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.
Booneville Theater sold 1,330 tickets to Shakespearean plays last season. This season, the
theater sold 40% more than that tickets to Shakespearean plays. How many such tickets did
the theater sell this season?
Answer:
1862 tickets.
Step-by-step explanation:
1330 increase 40% =
1330 × (1 + 40%) = 1330 × (1 + 0.4) = 1862
y = 4x -5
Describe transformations from the parent function
Find the interest rate. You are borrowing $1,310 for 10 years and you are penalized $655 in interest.
Pls Help
Answer:
5%
Step-by-step explanation:
I (simple interest) = $655
P (principle) = $1,310
R (interest rate) = ?
T (time) = 10
I = PRT
655=(1,310)r(10)
655 = 13,000•r
13,100 13,100
r • 0.05
0.05 converted to percent is 5%
I dance I sing I am perfect I am I am a believer that I am a discoverer. PLEASE ANSWER I'LL MARK AND BRAINLIEST
Answer:
not sure if its a song or not but you do you, gg <3
Answer:
YAZZ You are amazing :> remind yourself everyday!!!
Question 5 of 12
The orthocenter of a triangle may lie outside the triangle since the
may not intersect any side of the triangle.
A. angle bisector
B. perpindicular bisector
C. altitude
D. median
SUBMIT
may I please have help
Answer:
47
Step-by-step explanation:
90-43=x
At 1 P.M., the total snowfall is 5 centimeters. At 4 P.M., the total snowfall is 16 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answer:
Mr. Snowbully
Step-by-step explanation:
I think the mean hourly snowfall is named Mr. Snowbully
It's a funny name!
Well, the snow would grow at a rate of 4 cm every hour so...
4
The table below represents values of f(x) for selected values of x.
-4 -2 2 4
x
-4
O
8
12
The linear function g(x) is shown in the coordinate plane below.
Which statement is true?
The function f(x) has a greater rate of change than the function g(x).
The function g(x) has a greater rate of change than the function f(x).
The function g(x) has a greater x-intercept than the function f(x)
The function g(x) has a greater y-intercept than the function f(x).
Answer:
The function g(x) has a greater x- intercept than the function f(x)
Step-by-step explanation:
On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420
Answer:
A) 360 adults
Step-by-step explanation:
c=quantity of child
a=quantity of adult
9c+12.5a=5220
a+c=440 then c=440-a
substitute for c
9(440-a)+12.5a=5220
3960-9a+12.5a=5220
reduce
3.5a=1260
a=360
Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
How to figure out diameter
Answer:
If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).
Answer:
A diameter of a circle is twice its radius!
Hope that helps!
Step-by-step explanation:
What is the area of one trapezoidal face of the figure
Karen pumped 7 gallons of water out of her pool each minute for 28 minutes. What was the total change in the amount of water in the pool?
find the center and radius of this circle (x+13)^2+(y+2)^2=81
Answer:
center (-13,2) radius=9
Step-by-step explanation:
(x+13)^2+(y+2)^2=81
x=-13
y=-2
r=sq rt of 81
The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
What is a circle and equation of the circle?A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form,
[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]
Given equation of circle
[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)
By comparing the standard form of circle with equation 1, we get
(h, k) = (-13, -2) and
[tex]r^{2} = 81[/tex]
⇒ [tex]r = \sqrt{81}[/tex]
⇒ r = 9
Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
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Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
Null hypothesis:
H0: The population proportion B = population proportion A
Alternative hypothesis:
H1: The population proportion of B > population proportion A
The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.
Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.
I need help, Please help me.
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
1/4 of 24 is 6, so 3/4 or 24 =
Answer:8
Step-by-step explanation:
18
can i have Brainliest?
Than Nguyen opened a business called Nguyen engineering and recorded the following transactions in its first month of operations.
June 1: Than Nguyen, the owner, invested $158,000 cash, office equipment with a value of $19,500, and $89,000 of drafting equipment to launch the company in exchange for common stock.
June 2: the company purchased land worth $63,500 for an office by paying $26,000 cash and signing a long-term note payable for $36,900.
June 2: The company purchased a portable building with $40,500 cash and moved it onto the land acquired on June 2.
June 2: The company paid $11,700 cash for the premium on a 15-month insurance policy.
June 7: The company completed and delivered a set of plans for a client and collected $17,800 cash.
June 12: The company purchased $37,400 of additional drafting equipment by paying $24,000 cash and signing a long-term note payable for $13,400.
June 14: The company completed $37,200 of engineering services for a client. This amount is to be received in 30 days.
June 15: The company purchased $2,600 of additional office equipment on credit.
June 17: The company completed engineering services for $27,000 on credit.
June 18: The company revived a bill for rent of equipment that was used on a recently completed job. The $2,750 rent cost must be paid within 30 days.
June 20: The company collected $18,600 cash in partial payment from the client billed on June 14.
June 21: The company paid $2,000 cash for wages to a drafting assistant.
June 23: The company paid $2,600 cash to settle the account payable created on June 15.
June 24: The company paid $1,650 for minor maintenance of its drafting equipment.
June 26: The company paid $10,060 cash in dividends.
June 28: The company paid $2,000 cash for wages to a drafting assistant.
June 30: The company paid $3,660 cash for advertisements on the web during June.
Description of items that require adjusting entries on June 30, follow:
A.) The company has completed, but not yet billed, $17,600 of engineering services for a client.
B.) straight-line depreciation on the office equipment, assuming a 5 year life and a $2,300 salvage value, is $330 per month.
C.) straight-line depreciation on the drafting equipment, assuming a 5 year life and a $12,400 salvage value, is $1,900 per month.
D.) straight-line depreciation on the building, assuming a 25 year life and a $1,500 salvage value, is $130 per month.
E.) the balance in prepaid insurance represents a 15 month policy that went into effect on June 1.
F.) Accrued interest on the long-term note payable is $190.
G.) the drafting assistant is paid $2,000 for a 5 day work week. 2 days’ wages have been incurred but are unpaid as of month end.
Please answer please thank you
Based on the transactions made by Than Nguyen, the following journal entries are true:
Date Account Title Debit Credit
June 1 Cash $158,000
Office equipment $ 19,500
Drafting equipment $89,000
Nguyen, Captal account $266,500
June 2 Land $63,600
Cash $ 26,600
Note Payable $36,900
June 2 Building $40,500
Cash $40,500
June 2 Prepaid insurance $11,700
Cash $11,700
June 7 Cash $17,800
Service Revenue $17,800
What journal entries should be made?The amount that Than Nguyen put up for capital should be credited to the capital account and then debited to the various asset accounts.
The purchased land should also be debited to land, and the cash that was spent to buy the land should be credited along with the note payable.
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Problem:
Ford cut a whole pizza into 8 equal parts. He gave 2 slices to each
brothers and ate the rest. What part did each one get?
Question:
1.)To whom did Ford give the 2 slices of pizza?
2.)How did he divide the pizza?
3.) What do you call a part of it?
plzzz....
i follow you
Answers:
1. his brothers :)
2. Into 8 equal parts
3. a fraction of the pizza, a slice
Answer:
1. his brothers
2. in 8 equal pieces
3. a slice
Step-by-step explanation:
cause yo hair nappy........
Answer:
what do you mean?
Step-by-step explanation:
Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200
what is the quotient of x^2 + 7x +12 and x +4?
Answer:
The Answer/Quotient is x+3
help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
Given that 5x - 8y = 33 find x when y = 1
Answer:
x = ⁴¹⁄₅ or 8.2Explanation:
5x - 8y = 33
y = 1
Insert 1 for 'y' in the equation
5x - 8(1) = 33
Remove parenthesis: (a) = a
5x - 8 · 1 = 33
Multiply 8 · 1: 8
5x - 8 = 33
Add 8 to both sides
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
Divide both sides by 5
5x / 5 = 41 / 5
x = ⁴¹⁄₅
Turn the fraction into a decimal
x = 8.2