Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.
Answer:
He would need to sell 14 more hotdogs
Step-by-step explanation:
140/56= 175/x
140x= 9,800
x= 70
56-70= 14
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
HELP MEEEE !!!
Plsssss
original price $125 discount ? sale price $81.25
Answer:(125-81.25)/125 = 0.35 = 35%
Step-by-step explanation:
someone please help me answer this!!
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.5 m
Step-by-step explanation:
If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = sqrt(72)
c = 6sqrt(2) = 8.5
Answer: 8.5 m
help plz plz plz ill give brain
Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.
Answer:
24
Step-by-step explanation:
Sara = x age
Amy = x+2 when Sara x = 22 Amy is x + 2 = 24
Product of ages = 528 so............
x(x+2) = 528
x² + 2x - 528 = 0 solve for x I did it graphically first to get x = -24, 22
(x+24) (x-22) = 0
(x+24) = 0 (x-22) = 0
x = -24 x = 22 since you really can't have a negative age
Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.
Answer:
d=11.2
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]
[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]
[tex]d=\sqrt{10^{2}+5^{2} }[/tex]
[tex]d=\sqrt{100+25}[/tex]
[tex]d=\sqrt{125}[/tex]
[tex]d=11.18[/tex]
[tex]d=11.2[/tex]
Can somebody please help me with this ?
Answer:
8x, 2x^2, 6xy, 5y.
Step-by-step explanation:
Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.
Someone please explain this andwer
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
Question 17
17. Find the scale factor that was used in the dilation shown.
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation:
Which expression is equivalent to 6x-9•3
Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)
Answer:
The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.
Step-by-step explanation:
Answer:
13.7
Step-by-step explanation:
Use the following image to multiply.
5/8 of 4 =
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]
HELP ASAP PLEASE
What’s the answer
Answer:
Step-by-step explanation:
function 2
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answer:
5
Step-by-step explanation:
It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.
12 = 0.005 X W
Solve the equation
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Please help me solve this problem and explain the steps
Answer:
1086ft squared
Step-by-step explanation:
Which is the graph of f(x)=4(1/2)x
Answer:
here's the graph
Step-by-step explanation:
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
What type of angles are <5 and <6?
A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles
Answer:
C
Step-by-step explanation:
Supplementary angles because their sum is 180 degrees
Simplify fully
4x2 + 4x
2x² – 2
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
Express 1/3 as a repeating decimal and round to the nearest hundredth.
Answer:
1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's
Step-by-step explanation:
.3 is in the tenths and .33 is in the hundredths place
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95