Answer: S = 50W + 75
Step-by-step explanation:
I got to this answer by a bit of trial and error.
I first noticed that the relationship between the balance in the savings account from week to week was increasing by 50.
But when I tried W = S + 50, that did not work at all because when I plug in 125 for S, I should get 1 for W, but instead I get 175. So I realized I had something backwards.
I then tried listing the relationship as ordered pairs of (W, S).
For example I did (1, 125), (2, 175), (3, 275) and so on. So I thought of S like y and W like x where S is a function of W. I used the equation y = mx +b or S=mW + b as an outline. I figured that W would have to be multiplied by 50 to get that jump between the numbers in the S column. But I could not do S=50W + 125 because if W = 1, S = 175 when S should equal 125. So I subtracted 50 from the 125 and got 75. So my final equation was S=50W+75. If you test it with the ordered pairs listed above, you will see that the equation checks out. Try it yourself! I hope this was helpful in some way. Good luck!
What is the total length of 15 rods?
Answer:
5.7
Step-by-step explanation:
the answer in the problem is 0.75
Answer:
0.75
Step-by-step explanation:
you said it was 0.75
970 grams decreased by 15.1 per min. How many grams are remaining after 14 minutes
Answer: 98.1
Step-by-step explanation:
Given: mass= 970 gm
Time = 14 min
rate of decay= 15.1% per minute.
Now, computing to get amount of element remaining after 14 minutes.
Formula; Element remaining=
Element remaining=
⇒ Element remaining=
⇒ Element remaining= ≅ 98.1 (nearest 10th of a gram)
∴ 98.1 element is still remaining after 14 minutes.
Answer:
98.1
Step-by-step explanation:
source: https://brainly.com/question/14231923
credit: jitushashi120
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Johnny is collecting pennies. He begins the month of February with 34 pennies in his collection. He collects 13 pennies in the first week of February, 9 in the second week, 6 in the third week, and 7 in the fourth week. How many pennies does Johnny have at the end of February?
Answer:
69 pennies
Step-by-step explanation:
Below is the given data:
Pennies at the starting of February = 34
Pennies in 1st week of February = 13
Pennies in 2nd week of February = 9
Pennies in 3rd week of February = 6
Pennies in 4th week of February = 7
To find the number of pennies at the end of February just add all the pennies.
At the end of February, the number of pennies = 34 + 13 + 9 + 7 +6 = 69 pennies
On the interval (r, 7), at which x-value is the average rate of change 56?
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3
4
5
6
6
7
12
24
28
96
192
Reset
Next
21 Edmentum. All rights reserved.
Distribute – 3 (-3x2 + 5x).
Step-by-step explanation:
3(−3x2+5x)
=(−3)(−3x2+5x)
=(−3)(−3x2)+(−3)(5x)
=9x2−15x
. A worker takes 5 hours to make 300 dayas.
a) How long will the worker take to make in:
i) 45 dayas
Answer:
45
Step-by-step explanation:
5*60=300 minutes
300/300=1
means he makes 1 in one minute
so 45 for 45
Find the L.C.M of the following expressions.
1. 2x³ + 2x² - 12x , 6x³ - 6x² - 72x , 4x³ - 24x² + 32x
2. x³ - 2x²y + 2xy² - y³ , x⁴ - y⁴ , x³ + y³
Irrelevant / Random answers will be reported! :)
Step-by-step explanation:
Hey there!
Please see your required answer in pictures.
Hope it helps!
Worth 10 points
It’s a picture so it’s clear
Aiden invested $98,000 in an account paying an interest rate of 2 3/8% compounded
continuously. Autumn invested $98,000 in an account paying an interest rate of 2 3/4%
compounded quarterly. After 11 years, how much more money would Autumn have in
her account than Aiden, to the nearest dollar?
Answer:
Aiden will have $17878 more than autumn
Step-by-step explanation:
For Aiden;
Formula for continuous compounding is;
FV = Pe^(rt)
P = 98000
r = 2⅜% = 0.02375
t = 11
Thus;
FV = 98000 × e^(0.02375 × 11)
FV = 127258.1218
For Autumn;
Formula for regular compounding;
FV = PV(1 + (r/n))^(nt)
Where;
PV is present value = 98000
r is rate = 2¾% = 0.0275
n is number of times amount is compounding = quarterly = 4
t is time in years = 11
Thus;
FV = 98000 + (1 + (0.0275/4))^(4 × 11)
FV = 98001.3518
Difference in their compounded amounts after 11 years is;
127258.1218 - 98001.3518 = 29256.77 ≈ $17878
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
The length of each side of the square is (3x-2) units
The dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Factoring an expressionFrom the question, we are to factor out the given expression for the area of the square
The expression is
9x² − 12x + 4
Factoring
9x² − 12x + 4
9x² −6x -6x + 4
3x(3x -2) -2(3x-2)
(3x -2)(3x -2)
Hence, the length of each side of the square is (3x-2) units
Part B:
The given expression is
25x² − 16y²
Factoring
25x² − 16y²
By difference of two squares, we get
(5x + 4y)(5x -4y)
Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Learn more on Factoring an expression here: https://brainly.com/question/11660720
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Round the
nearest hundreds
Place
52% of 210
Answer:
109.2
Step-by-step explanation:
Of means multiply
52% * 210
Change to decimal form
.52 * 210
109.2
Answer:
109.2
Step-by-step explanation:
% Off means multiply
52 % × 210
10,920
Change into decimal form , we get
109.2
Cuales son los procedimientos desde el principio del siguiente ejersicio de polimonio de resta Ejersicio: De 3/5 x cubica restar - 1/2 x cubica- 2/3xy cuadrada mas 3/4 x cuadrada y-1/2y cubica
Answer:
[tex]\frac{6x^3+40xy^2-45x^2y+30y^3}{60}[/tex]
Step-by-step explanation:
Primero que todo reescribiremos el problema como una ecuacion:
[tex]\frac{6}{5}x^{3}-x^{3}+\frac{4}{3}xy^{2}-\frac{3}{2}x^{2} y+y^{3}[/tex]
Ahora rompemos el parentesis cambiando el signo:
[tex]\frac{3}{5}x^{3}-\frac{1}{2}x^{3}+\frac{2}{3}xy^{2}-\frac{3}{4}x^{2} y+\frac{1}{2}y^{3}[/tex]
Ahora simplificamos los terminos con variables iguales:
[tex]\frac{1}{10}x^{3}+\frac{2}{3}xy^{2}-\frac{3}{4}x^{2} y+\frac{1}{2}y^{3}[/tex]
Ahora restamos los primeros dos terminos y los ultimos dos terminos:
[tex]\frac{3x^{3}+20xy^{2}}{30}-\frac{6x^2y+4y^3}{8}[/tex]
Y realizamos la ultima suma de fracciones:
[tex]\frac{24x^3+160xy^2-180x^2y+120y^3}{240}[/tex]
Y por ultimo podemos simplificar la espresion dividiento doto por 4:
[tex]\frac{6x^3+40xy^2-45x^2y+30y^3}{60}[/tex]
Can someone please help me! Big ideas 8.4 number 20
Answer: The perimeter is about 20.26 units
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance
[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis
[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis
For the given points:
B(0,3), C(4,-1), E(2,-3) and F(-2,1)
Calculating the distance BC:[tex]x_2=4\\x_1=0\\y_2=-1\\y_1=3[/tex]
Putting values in above equation, we get:
[tex]BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units[/tex]
Calculating the distance CE:[tex]x_2=2\\x_1=4\\y_2=-3\\y_1=-1[/tex]
Putting values in above equation, we get:
[tex]CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units[/tex]
To calculate the perimeter of a rectangle, we use the equation:
[tex]Perimeter=2(l+b)[/tex] ....(1)
where,
l = length of the rectangle = BC = 5.66 units
b = breadth of the rectangle = CE = 4.47 units
Putting values in equation 1, we get:
[tex]Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units[/tex]
Hence, the perimeter is about 20.26 units
2. If this pattern continues, what should be the value of 50 ?
Answer:
it should be 50 100 150 200 250 300....
Given the right triangle below, if AB = 4 and BC = 4, find AC.
By using Pythagorean's theorem we will find that the measure of AC = 5.66 units.
How to find the missing side of the right triangle?Remember that for any right triangle with an hypotenuse H and two legs A and B, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
AB = 4
BC = 4
Because these two have the same length, we know that these two must be the legs, then AC (the side we want to find) is the hypotenuse.
Then we can write:
4^2 + 4^2 = AC^2
16 + 16 = AC^2
√(16 + 16) = AC
√32 = AC
5.65 = AC
The measure of the hypotenuse of the right triangle is 5.66 units.
Learn more about right triangles:
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PLEASE HELP! What is the slope-intercept equation of the line shown below?
Answer:
y=2x+1
Step-by-step explanation:
y= mx + c
c= 1
m= slope which is -2
y=2x+1
Using a sixteen-sided number cube, what is the probability that you will roll an odd number or an even prime number? Round to three decimals.
a. 0.813
b. 0.313
c. 0.563
d. 0.156
Answer:
0.563
Step-by-step explanation:
Probability is defined by the amount of desirable outcomes over the total number of outcomes. When rolling a 16 sided number cube, there are 16 different numbers you can roll, which means 16 total outcomes. There are 8 odd numbers that you can possibly roll:
1, 3, 5, 7, 9, 11, 13, 15
Now, an even prime numbers are included in the desirable outcomes too. The only even prime number is 2. Since the odd numbers and even prime numbers do not have common term, to get the total desirable outcomes, you can add the two: 8 + 1 = 9. From the basic probability formula you can say the probability is 9/16 or 0.5625. This rounds to 0.563.
If you were too lazy to calculate, you can realize that 0.563 is the only reasonable answer because it is close to 1/2 or 0.5 and half the numbers are odd and only one is even and prime which makes the amount a bit over 1/2.
help if you can please
its the red one
i learnt it in school
please help!! I'm really confused
Answer:
(-4,3)
Step-by-step explanation:
G is plotted 4 units left and 3 units up
:) ur welcome
SATELLITE DISH Suppose the receiver in a parabolic dish antenna is 2 feet
from the vertex and is located at the focus. Assume that the vertex is at the
origin and that the dish is pointed upward. Find an equation that models a
cross section of the dish.
a. x2 = -8y
b. x2 = 2y
c. x2 = 8y
d. y2 = 8x
Answer:
D) [tex]x^{2} =8y[/tex]
Step-by-step explanation:
Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation [tex](x-h)^2=4p(y-k)[/tex] where [tex](h,k)[/tex] is the vertex of the parabola and [tex](h,k+p)[/tex] is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is [tex](0,0)[/tex] at the origin, then the focus point is [tex](0,0+p)[/tex] where [tex]p=2[/tex]. Therefore, the equation that models a cross section of the dish is [tex]x^{2} = 8y[/tex].
Is x=2 a root of (2x-3)(3x + 2)(x+2)(x+2)(x-7/8)?
Answer:
No
Step-by-step explanation:
2x-3 = 0 so x = 3/2
3x+2 = 0 so x = - 2/3
x+2 = 0 so x=-2 (twice)
x-7/8 = 0 so x=7
Mr. Flourdust is a baker. Today he is making apple pies.
He has 12 bags of apples, with 6 apples in each bag.
He uses 6 apples for each pie.
How many apple pies can Mr. Flourdust make?
Answer:
12 apple pies
Step-by-step explanation:
If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.
So, 1x12 = 12 apple pies
Hope this helped :)
two numbers which differ by 46
Answer:
The number 1 and 47
or 13 and 59
Answer:
16 and 62
Step-by-step explanation:
Two variables x and y. x < y.
y - x = 46
y = 46 + x
4x = y + 2
y = 46 + x in 4x = y + 2
4x + y = x + y + 46 + 2
4x + y - y = x + y - y + 46 + 2
4x = x + 48
4x - x = x - x + 48
3x = 48
3x ÷ 3 = 48 ÷ 3
x = 16
y = x + 46
y = 16 + 46
y = 62
Express sin Q as a fraction in simplest terms.
Answer:
[tex]hypotenuse = \sqrt{ {27}^{2} + {36}^{2} } \\ = \sqrt{2025} = 45 \\ \sin \: Q = \frac{opposite}{hypotenuse} \\ \sin \: Q = \frac{36}{45} \\ \sin \: Q = \frac{4}{5} [/tex]
The volume of a cylinder is 1441 in and the height of the cylinder is 1 in. What is the radius of the cylinder? The radius of the cylinder is in. (Simplify your answer.) )
Answer:
229.459 rounded
Step-by-step explanation:
V=πr2h
1441 = [tex]\pi[/tex] r 2 (1)
divide 1441 by 2 and then divide by 3.14 (pi)
r = 229.459 rounded
Question in Image answer with explanation please added 20 points
Answer:
$117,351 JMD
Step-by-step explanation:
It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:
780 * 150.45 = 117,351
Step-by-step explanation:
$1US dollar=$150.45JMD
$780US dollars=?
=$150.45×$780
=$117,351
help please, i need to show work. (no links!)
Answer:
x= -2, -1
Step-by-step explanation:
[tex]\frac{1+-\sqrt{1-4*1*-2} }{2}[/tex]
(1 +/- 3)/2
-2, -1
If the value of "Y" varies directly with "X" and y=-8,when x=20,find "Y"if x=-4
Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.