Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
Factor 56−16 using the GCF.
do not give me a link
F of 56 :- 2 × 2 × 2 × 7
F of 16 :- 2 × 2 × 2 × 2
HCF of 56 - 15 is 6 .
A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?
Answer:
$252
Step-by-step explanation:
First you need to find how much is 20% is of 210
210*0.20=$42
Add 42 dollars to 210
210+42=$252
So the starting price per bag that he was selling was $252
Which is a quadratic equation?
a. y=x+9
b. y=2x-15
c. y=x^2+2x-7
d. y=x^3-x^2
Answer:
c. y=x^2+2x-7
Step-by-step explanation:
A linear function has the highest power of 1 (x)
A quadratic has the highest power of 2 (x^2)
A cubic has the highest power of 3 ( x^2)
a. y=x+9 linear
b. y=2x-15 linear
c. y=x^2+2x-7 quadratic
d. y=x^3-x^2 cubic
Quadratic Function is the equation that takes form of:
[tex] \large \boxed{y = a {x}^{2} + bx + c}[/tex]
where a, b and c both are real number and a ≠ 0.
The first and second choices are linear equation because it's in the form of y = mx+b.
The last choice is a cubic equation since it has the third degree x³.
Remember that the quadratic equation can be ax²+bx+c = 0 or y = ax²+bx+c only.
Answer
y = x²+2x-7999f=4,131
Solve for f.
Answer:
4.135
Step-by-step explanation:
f = 4131/999
f = 4131 ÷ 999
4131 ÷ 999 = 4.1351351351
Answer:
4.135
Step-by-step explanation:
f = 4131 / 999 = 4.135
Use SOH CAH TOA to identify the Tangent Z.
SOH = Sine Opposite Hypotenus
CAH = Cosine Adjacent Hypotenus
TOA = Tangent Opposite Adjacent
Based on the key I wrote above, TOA is what you will use. Starting from angle Z look at the opposite side and adjacent side. (Opposite = 21 and Adjacent = 20) Make sure you're not looking at the hypotenus which is the side that is always across from the 90° angle.
Going by opposite over adjacent, that would be 21/20
The answer is the first choice 21/20
Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.
Answer:
43 hours
Step-by-step explanation:
[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]
y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5
[tex]y=42\frac{18}{19}[/tex]
43 hours
Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12
Answer:
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Step-by-step explanation:
Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.
Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options
A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 18/12 = 1 6/12 = 1 1/2
Option A is wrong
B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 16/12 = 1 4/12 = 1 1/3
Option B is wrong
C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12
Lowest Common Denominator = 12
Hence = 15/12 = 1 3/12 = 1 1/4
Option C is wrong
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Lowest Common Denominator = 12
Hence = 17/12 = 1 5/12
Option D is correct
Therefore, the fractions of the scarf each friend could have knit is Option D
What is the likely means of measurement for the data in the chart below?
a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations
Answer:
C
Step-by-step explanation:
I might be wrong. I hope it helps:)
WILL GIVE BRAINLIEST AND 20 POINTS!
Find the slope of the line in the following graph using the points on the graph. Write the exact answer. Do not round. If the slope does not exist, write DNE for your answer.
(-5,2)(6,7)
Answer:
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
y2 = 7
y1 = 2
x2 = 6
x1 = - 5
There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.
slope = (7 - 2)/(6 - - 5) Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5
slope = 5/(6 + 5)
slope = 5/11
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]
The slope of the line, [tex]m[/tex], that passes through these points is equal to:
[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]
Which number is a composite number?
A:17
B:37
C:13
D:63
Answer:
D. 63
Step-by-step explanation:
It has more than two factors. (composite)
Answer:
D. 63
Step-by-step explanation:
17 = 1 × 17
37 = 1 × 37
13 = 1 × 13
63 = 3 × 3 × 7
multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
In City Lake, researchers caught, marked, and released 213 bass. Later, they took a sample of 104 bass and found that 13 were marked. Estimate the number of bass in the lake.
A. 1704 bass
B. 520 bass
C. 27 bass
D. 1846 bass
Answer:
A : 1704
Step-by-step explanation:
13/104 = 213/1704
The estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
What are the population and sample?The population and sample are described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have given that, the researchers caught, marked, and released 213 basses. Later they took a sample of 104 basses and found that 13 were marked.
Proportion = 104/13 = 8
It means 1 marked fish in every 8 fish
The number of basses in the lake = 8×213 = 1704 bass
Therefore, the estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
Hence, they took a sample of 104 basses and found that 13 were marked option A; 1704 is correct.
Learn more about the population and sample here:
brainly.com/question/9295991
#SPJ2
Judging by appearance, classify the figure in as many ways as possible.
Answer:
A. Quadrilateral, kite
oWhich value completes this table?
Answer:
When x = -1, f(x) = 2
Step-by-step explanation:
f(x) = (1/2)^x
When x = -4
f(x) = (1/2)^x
f(x) = (1/2)^-4
= 1 ÷ (1/2)^⁴
= 1 ÷ 1^⁴/2^⁴
= 1 ÷ 1/16
= 1 × 16/1
= 16
When x = -1
f(x) = (1/2)^x
= (1/2)^-1
= 1 ÷ 1/2^1
= 1 ÷ 1/2
= 1 × 2/1
= 1 × 2
= 2
When x = -1, f(x) = 2
Which outcome is most likely after a die is rolled?
A.
B.
A number greater than 6
A number less than 6
A number less than 3
A number less than 2
C.
D.
Answer:
a number less then 6 is the anser so the 1st one
Explain Please
x =
8
10
9
Answer:
X = 8
Step-by-step explanation:
The given parameter are;
The length of the segments of the chords are;
Lengths of segments in Chord 1; 5, and X
Lengths of segments in Chord 2; 4, and 10
According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;
5 × X = 4 × 10
∴ X = 4 × 10/5 = 8
X = 8.
You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?
Answer:
The mortgage balance is $175,000
Step-by-step explanation:
Remember: House value = equity + mortgage. Therefore,
$300,000 = $125,000 + mortgage balance
The mortgage balance is $175,000.
90×(2÷12) please help its for maths
Answer:
15
Step-by-step explanation:
You would divide 2 by 12 first and then multiply it by 90.
Answer:
Step-by-step explanation:
90 * (2 ÷ 12)
90 *([tex]\frac{1}{6}[/tex])
90*1/6
90/6
15
therefore 15 is the required answer.
Convert. Round to 3 decimal places.
7 quarts ≈ ____ liters
1 quart = 0.9463 liters
8 quarts x 0.9463 = 7.5704 liters
Rounded to 3 places 7.540
Also depending on the exact conversion used it could would to 7.541 liters
Answer:
7 quarts = 7.5704
Step-by-step explanation:
We know that
1 quarts = 0.9463 litres
7 quarts = 8 × 0.9463 = 7.5704 litres
Apply the distributive property to factor out the greatest common factor.
56 + 32 =
2
+
Х
Anyone help me please. A circle has a circumference
of 36. What is the radius of
the circle? Take pi to be 3.142. State the answer to one decimal
place.
The circumference of a circle is pi x 2 x radius.
To find the radius, divide the circumference by pi, then divide that by 2:
36/3.142 = 11.4576703
Radius = 11.4576703/2 = 5.7288
Rounded to one decimal place the radius is 5.7 units.
Answer:
[tex]R=5.7[/tex]
Step-by-step explanation:
[tex]Radius=\frac{Circumference}{2\pi }[/tex]
[tex]R=\frac{36}{2(3.142)}[/tex]
[tex]R=\frac{36}{6.284}[/tex]
[tex]R=5.728835137[/tex]
[tex]R=5.7[/tex]
Hope this helped :)
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
Which of these tables represents a function?
(Pleasee it's urgent!!!!)))
Answer:
laaa umm la w..............
Please help me answer my question
Answer:
SA= 882cm^2
Step-by-step explanation:
SA=2( width*length + hight*length + hight*width )
SA=2( 9*20+ 9*20+ 9*9)
SA= 2*441
SA=882cm^2
Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay?
Answer:
$4
Step-by-step explanation:
2/100 x 200 = 4
Clara goes minature golfing. She pays $7.50 admission and $6.25 for each round of she golfs. The total amount Clara pays including admission and the rounds of golf is $26.25. Which equation can be used to determine the number of rounds of golf she did?
Answer:
The equation that can be used to determine the number of rounds of golf she did
7.50 + 6.25x = 26.25
hey, this is the last thing I'm asking help with today.thank you
Answer:
A
Step-by-step explanation:
the middle angle has to be equal to make the entire angle equal
41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings
You might need:
Calculator
Kenji runs a channel where he uploads and shares videos that he makes. He noticed an exponential
relationship between how long his videos have been posted and the number of times each video has been
viewed.
Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationship
between the how long his videos have been posted and the transformed numbers of views
Here's the least-squares regression equation for the transformed data, where "time" represents days since
posting, and "views" is the number of views
In(views) = 0.81(time) + 3.15
According to this model, what is the predicted number of views on a video that's been posted for 3 days?
You may round your answer to the nearest whole number.
views
Show Calculator
Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.
The function that represented the relationship between the time in days and the number of views is given by:
[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]
We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.
[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]
[tex]\ln{v} = 0.89 + 3.15[/tex]
[tex]\ln{v} = 4.04[/tex]
[tex]e^{\ln{v}} = e^{4.04}[/tex]
[tex]v = 57[/tex]
57 views.
A similar problem is given at https://brainly.com/question/24286043
A distance of 8.5 kilometers is equivalent to 850 meters.
True
False
Answer:
true
Step-by-step explanation: