Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
11037
have fun figuring out what i mean
Answer:
????????????????????
Answer:
I think 11037 is a clue to tell what the murder is
Step-by-step explanation:
Find the slope of the line that passes through the points (5,10) and (7,12).
Answer:
The slope of the line is 1. The equation of the line is 1x + 5.
Step-by-step explanation:
The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.
What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.
Answer:
c. A line of credit with a fixed total amount.
Step-by-step explanation:
EDGE 2020
Answer:
C. A line of credit with a fixed total amount.
Step-by-step explanation:
Determine if √4 is rational or irrational and give a reason for your answer.
Answer:
rational
Step-by-step explanation:
Because if you take the square root of 4 you get 2
if it was irrational then it would be a decimal or fraction
(plz mark braillist)
Problem ID: PRA3VP4 The veterinarian weighed Oliver's new puppy, Boaz, on a defective scale. He weighed 36 pounds. However, Boaz weighs exactly 34.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth? Do not include units, %, in your answer. Modified
Answer: 4.1%
Step-by-step explanation:
Given data:
Measure value ( actual) = 36 pounds
Expected value = 34.5 pounds
Solution:
Percentage error = Actual value - expected value / expected value * 100
= 36 - 34.6 / 34.6 * 100
= 1.4/34.6 * 100
= 0.041 * 100
= 4.1
The percentage error is 4.1%
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
What is the least number of plates and cups she can buy?
The least number of cups of plates and cups she can buy is 24
How many packs of plates?
3 packs of plates
How many packs of cups?
2 packs of cups
Step-by-step explanation:
What is the least number of plates and cups she can buy?
We solve this using the Lowest Common Multiple method
The L.C.M of 8 and 12
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
Therefore,
LCM(8, 12) = 24
Hence, the least number of cups and plates she can buy is 24
How many packs of plates?
Plates are sold in packs of eight
Hence: 24 ÷ 8 = 3 packs of plates
How many packs of cups?
Cups are sold in packs of 12
Hence: 24 ÷ 12 = 2 packs of cups
Can someone help me on these questions for geometry sorry if the quality is bad.
NEED HELP ASAP, MARKING BRAINLIEST.
Solve for the value of x that makes lines r and s parallel.
Answer:
Step-by-step explanation:
y + 140 = 180 {linear pair}
y = 180 - 140
y = 40
If any pair of exterior angles are congruent , then the lines r and s will be parallel
5x - 5 = 40
5x = 40 + 5
5x = 45
x = 45/5
x = 9
The value of x = 9 will make lines r and s parallel.
Need helps with 45 , picture above
Answer:
Ok:
Step-by-step explanation:
We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges, he would make $50. Thus C is the answer
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
-1/3(x-15)=-4 what is the correct sequence of operations
Answer:
x = 3
Step-by-step explanation:
The steps I show will be listed from first-to-last.
-1/3x + 5 = -4 (Distribute)
-1/3x = -9 (Subtract 5 from both sides)
x = 3 (Multiply both sides by -3)
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
help please show steps please I don't know what to do so I want to learn not just get the answer
A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?
Answer:
see below
Step-by-step explanation:
h(t)=-16t^2+48t+64
Find when h(t) = 64
64 = -16t^2+48t+64
Subtract 64 from each side
0 = -16t^2+48t
Factor
0 = -16t( t-3)
Using the zero product property
-16t =0 t-3 =0
t=0 and t=3
Other than at t=0, so at t=3 seconds
How long will it take for f ball to reach its maximum height?
Find the vertex
t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds
It will reach the maximum height at 1.5 seconds
What is the maximum height reached by the ball?
The height will be
h(1.5) = -16*(1.5)^2+48(1.5)+64
= -36+72+64
= 100
The maximum height is 100 ft
How long will it take for the ball to hit the ground?
h(t) =0
0=-16t^2+48t+64
Factor
0 = -16( t^2 - 3t -4)
0=- 16( t-4) (t+1)
Using the zero product property
t-4=0 t+1=0
t =4 t = -1
Since time cannot be negative
t=4 seconds
Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answer:
the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.
Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answer:
D
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?
Answer: 125.00$
Step-by-step explanation:
the answers in the question
Answer: $62.50
Step-by-step explanation:
125/2=62.50
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )
Which describes the graph of y=(x-5)^2 -4
Answer:
Use semi-log paper for plotting Y = log y instead of y against x.
The graph is the straight line Y = (log 2) x + log 5.
Explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.
Step-by-step explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y
Answer:
Opens up with a vertex at (5,-4)
Step-by-step explanation:
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.
Answer:
15.87%
Step-by-step explanation:
Given that :
Mean (m) = 2.51
Standard deviation (σ) = 0.44
Percentage of students with grade point average no more than 2.07
Using the relation :
Zscore = (X - mean) / standard deviation
X = 2.07
Zscore = (2.07 - 2.51) / 0.44
Zscore = - 0.44 / 0.44
Zscore =. - 1
P(Z < - 1) : using the z table
P(Z < 1) = 0.1587
Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
Wish someone can do this for me.
Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
[tex]\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}[/tex]
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Order the events from least likely (on top) to most likely (on bottom).
Answer:
so, look at the percentage, since -20 is lower, it is least likely, next is 10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100
Step-by-step explanation:
Answer:Greatest to least.
4/5
30%
10%
-20
Step-by-step explanation:
A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?
2x + 6
x2 + 9
6x + 9
x2 + 6x + 9
here's the answer hope this helps :)
Answer:
D. x2 + 6x + 9
Step-by-step explanation:
For anyone who didn't understand the above answer^^
what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second
Answer:
40k per hour is faster
mark me as branliest plz