The question is an illustration of simple interest.
The equation that relates Barry's savings after t years is; [tex]f(t)=1300 + 28.6t[/tex]
The given parameters are:
[tex]P = 1300[/tex] --- the amount deposited
[tex]r = 2.2\%[/tex] --- annual interest
So, the interest is calculated using:
[tex]I = PRT[/tex]
This gives
[tex]I = 1300 \times 2.2\% \times t[/tex]
[tex]I = 28.6 \times t[/tex]
[tex]I = 28.6t[/tex]
So, the equation that relates Barry's savings after t years is;
[tex]f(t)=P + I[/tex] --- i.e. the amount deposited plus the interest
This gives
[tex]f(t)=1300 + 28.6t[/tex]
Hence, the required equation is: [tex]f(t)=1300 + 28.6t[/tex]
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I'm stuck on this question for math in middle school, so I can't help
In a Physics lesson, Chantelle adds weights to a spring and carefully measures the extension. She finds that the weight, y g is related to the extension, x cm by the formula y = 0.5x + 1 for 0 ≤ x ≤ 20. a Draw the graph of y against x for 0 ≤ x ≤ 20. b Use this graph to find the (i) weight for a 17 cm extension (ii) extension produced by a 5 g weight. c What would Chantelle's formula predict for the springs extension for a 1 kg weight? Comment on your answer
What is the distance of -4,-6 and 5,-6?
Answer:
Step-by-step explanation:
mp (-4,-6) (5,-6)
mp (-4+5/2, -6+-6/2)
mp ( 1/2, -12/2)
mp (0.5, -6)
f(x)=−x+5, find f(-3)f(−3).
Answer:
f(-3)= - (-3)+5= +3 +5 = 8
f(x)=2x^2-3x+7 evaluate f(-2)
Answer:
Step-by-step explanation:
Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?
Let p(x)=kpx+dp and q(x)=kqx+dq than
f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7
p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7
(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)
So you want:
−2kpk2q=0
and
kpkq=−1
and
2kpd2p−3kpdq+7=0
Now I amfraid this doesn’t work as −2kpk2q=0 that either kp or kq is zero but than their product can’t be anything but 0 not −1 .
Answer: there are no such linear functions.
someone please help me on this
Answer:
5.3 yds
Step-by-step explanation:
12/9=1.3
1.3 x 4 = 5.3
hope this helps :)
please crown me brainliest!!!
Can someone please explain? It’s due at 11:59 I’m stressing
(might not be correct and I don't know what it's asking/its confusing)
Answer:
Karen's music library has 11 playlists
Clarann's music library has 29 playlists
Step-by-step explanation:
29+11=40
this is what I did:
I know that Clarann has at least 18,
Karen: 0 1 2 3 4 5 6 7 8 9 10 11
clarann:18 19 20 21 22 23 24 25 26 27 28 29
total: 18 20 22 24 26 28 30 32 34 36 38 40
write the equation (y=kx)
= kx. where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.
Simply so, which graph represents an equation in the form y KX?
Slope of y = kx Theorem The graph of the direct-variation function with equation y = kx has constant slope k. Now solve this system of equations for k. So by the definition of slope, k is the slope of the line through these points. Thus, k is the slope of the line with equation y = kx.
Also, which statement is always true about the graph of an equation in the form y KX Y KX? The equation y = kx is a proportional graph. It means that you multiply x by a number and you have k. The point (0, 0) will always be on the graph, because no matter what K is, if you are multiplying by 0 for x, you will get 0 for y.
Secondly, what is Y KX called?
In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. In this function, m (or k) is called the constant of proportionality or the constant of variation.
What is direct variation?
Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).
what is twelve billion three hundred forty two million sixty five in numbers
Answer:
12,342,000,065
Step-by-step explanation:
yeah-ya
In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Prove that ABCD is a parallelogram.
The proof for ABCD is a parallelogram is shown below.
What is parallelogram?The opposing sides are equally spaced and parallel.Angles on either side are equal.The following or neighbouring angles are supplemental.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.Given:
AD is congruent to BC,
and AD is parallel to BC.
So, if the quadrilateral have opposite sides congruent and parallel.
Such Quadrilateral are parallelogram.
Hence, the given quadrilateral is a parallelogram.
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hey i need help with question 3 i put 81.5% but i’ve been told it’s been wrong ?
During a hot summer week, Mr. Singh sold 60 watermelons. On Monday, he sold
he sold half the number of watermelons he sold on Monday. On Thursday, Mr. Singh sold 18
watermelons. On Tuesday, he sold twice as many watermelons than Monday. On Wednesday,
watermelons. On Friday, he sold four more than twice the amount he sold on Monday and
Tuesday combined. How many watermelons did he sell on Friday?
Help please
what is the image of the point (0,-1) after a rotation of 180° counterclockwise
Write y=3/5 x+4 in standard form using intergers
Answer:
3x - 5y = -20
Step-by-step explanation:
solve pls brainliest!
Answer:
you gotta add those too and you get the answer
Step-by-step explanation:
Please help me 1. Find the missing angle.
29
105
2. What is the measure of Angle 1?
55
78
3. What is the measure of Angle 2?
55
Answer:
m<2=97
Step-by-step explanation:
Find the measure of the angle and give the reason for knowing it. 1. m∠1 = 83 reason_Corresponding Angles. 2. m∠2 = 97 reason Supplementary.
In the proportion 2:3 = 16:24 ,the product of the two middle values is __.
The product of the two outside values is __.
Answer:
48 and 48
Step-by-step explanation:
product means multiplication
two middle values are 3 and 16
3*16 = 48
two outside values are 2 and 24
2*24 = 48
What is 0.88 as a fraction in lowest terms?
88/1000
88/100
44/50
22/25
Answer:
22/25
Step-by-step explanation:
it is 22/25 because 88/100 ÷2 = 44/50
and 44/50÷2= 22/25
Graph the image of the given triangle after a rotation of 180° about the origin
Answer:
The bottom point is at (-1, 1) the right point is at (6,-2) and the left point is at (-5,4)
Step-by-step explanation:
Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If a coordinate of any polygon (x,y) is rotated 180 degrees about the origin either clockwise or anticlockwise then its coordinate will change sign.
(x,y) → (-x,-y)
Given triangle have coordinates as (-1,1),(-2,6), and (-5,4).
The transformation (x,y) → (-x,-y) gives ;
(-1,1) → (1,-1)
(-2,6) → (2,-6)
(-5,4) → (5,-4)
Hence "Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4)".
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solve:
(x-3)(2x+1)(3x-2)
Answer:
6x^3 + 19x^2 + x +6
Step-by-step explanation:
✊✊✊✊✊✊✊
What is an equation of the line that passes through the points (8,−5) and (8,−2)?
Answer:
try x=8
Step-by-step explanation:
list 10 output device and 10 input device
Answer:
10 Examples of Input devices:
1. Keyboard
2. Mouse
3. Light Pen
4. Optical/magnetic Scanner
5. Touch Screen
6. Microphone for voice as input
7. Track Ball
8. Joystick
9. Camera
10. Web cam (PC video camera)
10 Examples of Output Devices:
Monitor
Printer
Audio Speakers
Headphones
Projector
GPS
Sound Card
Video Card
Braille Reader
Plotter
What is 30 Divided by 2.42
Answer: 12.3966942149
Step-by-step explanation: Just use the calculator next time, hope this helps.
Answer:
12.39669421
Step-by-step explanation:
30/2.42=12.39669421
Eighteen less than a number is 43. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
let the number be x
x -18= 43
x= 43+18
x=61
Please answer all 4 questions:)
Answer:
1. d=m/v
=57.6/112.9
=0.51018601
=0.510g/cm³(3s.f.)
2. m=d×v
=1.8×54
=97.2g
3. v=m/d
=63.8/12.7
=5.02362205
=5.02cm³(3s.f.)
4. v=length×breath×height
=12×2×6
=144m³
216g=0.216kg
d=m/v
=0.216/144
=0.0015kg/m³
Step-by-step explanation:
density=mass/volume
mass=density×volume
volume=mass/density
*make sure the units are correctly placed.
*g/cm³, kg/m³
2tanx - 3cotx + 1 = 0
Answer:
hope its helpful
have a great day
Mr. Salinas is packing lunches in 3 ice chests. There are 20 sack lunches in each ice chest. 40% of all the sandwhiches are turkey. How many of the sack lunches contain a turkey sandwich?
Answer:
Step-by-step explanation:
20*3
=60
60 of 40/100
=60*40/100
=24sack lunches contain a turkey sandwich
someone pls help me with this
Name:
Short Answer
19. Use the triangle below.
20
x
31
What is the value of the angle (x)? (Round to the nearest whole number)
X =
Meg is a veterinarian. She found that 33% of the 21 dogs she saw this week were boxers.Steve is also a veterinarian. He found that 10,or 50% he saw this week were boxers.Does each person need to find the part, the whole, or the percent? Meg needs to find the?
Answer:
a. Meg needs to find the part
b. Steve needs to find the percent.
Step-by-step explanation:
The question is incomplete.
This is the complete question:
Meg is a veterinarian. In a given week, 50% of the 16 dogs she saw were Boxers. Steve is also a veterinarian. In the same week, 7 of the 35 dogs he saw this week were Boxers. Each wants to record the part the whole, and the percent.
a. Does Meg need to find the part, the whole, or the percent.
b. Does Steve need to find the part, the whole, or the percent.
Solution to the problem
a. Does Meg need to find the part, the whole, or the percent.
Meg already knows the whole and the percent.
The whole is the entire number of dogs seen: 16 dogs.
The percent is 50%.
Hence, she needs to find the part: this is how many (what part) of the 16 dogs she saw were boxers.
And she can do with a simple operation:
Part = whole × percent = 16 × 50% = 8. This is 8 dogs of 16 were boxers.
b. Does Steve need to find the part, the whole, or the percent.
He already knows the part (7 of the 35 dogs were boxers) and the whole (35 dogs).
Then he needs to find the percent, which he can do using the next operation:
Percent = (part / whole) × 100 = (7/35)×100 = 20%
y is inversely proportional to x2.
When x = 5, y= 16.
Find y when x= 10.
Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.
Given the following data:
x = 5y = 16To find the value of y, when x = 10:
Mathematically, translating the inverse relationship between x and y, we have:
[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]
k = 400
Now, we can find the value of y, when x = 10:
[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]
y = 4
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