Based on the types of compounding and the interest rates, the following are true:
Part A - The group will have $750Part B - The group will have $759.19When using simple interest, the amount the group will have is:
= Amount x ( 1 + rate x number of years )
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
= Amount x ( 1 + rate) ^ Number of years
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
Find out more about compound interest at https://brainly.com/question/25263325.
can someone help me with this
[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]
write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"
Answer:
y = -3x + 17
Step-by-step explanation:
first, change the equation into slope-intercept form
add 'x' to each side to get:
3y + x = 12
divide each side by 3 to get:
y = 1/3x + 4
now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:
2 = -3(5) + b
2 = -15 + b
17 = b
put slope and y-intercept together to get:
y = -3x + 17
If the measure of an inscribed angle is 142 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.
Answer:
[tex]y \leqslant -x + 1[/tex]
Step-by-step explanation:
First write the equation of the line with either inequality sign, like so:
[tex]y \geqslant -x + 1[/tex]
Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:
[tex]0 \geqslant -0 + 1 \\ 0 \geqslant 1[/tex]
Since 0 > 1 is false, you know that the correct inequality must be:
[tex]y \leqslant -x + 1[/tex]
If you want to check this, plug the coordinates (0,0) into the equation:
[tex]0 \leqslant -0 + 1 \\ 0 \leqslant 1[/tex]
Since 0 < 1 is true, you know this equation is correct.
I hope that helped! If I made a mistake, just let me know.
Please help, I’m having trouble
Answer:
z=13
Step-by-step explanation:
SU 1
------ = ------
WV 2
z 1
----- = ----------
z+13 2
Using cross products
2z = z+13
Subtract z from each side
2z-z = z+13-z
z = 13
WHAT IS 12+23+67+10+19+60=
Answer:
The answer is 191.
Hope that helps. x
Answer:
191
Step-by-step explanation:
12+23=35
67+10=77
19+60=79
Now let's add all three numbers
35+77+79=191
Hope this helps!
4)Find the value of x and y
x=48, y=110
Explanation:
55-7=48
55+55=110
Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]
how do u find the order of operations of 8×3+70÷7-7
Which expression is equivalent to 3/5x +3
2/5x + 1/5x
4/5x - 1/5x + 3
2/5x + 3 3/5x -1
1 + 3/5x + 2
1 +x/5 + 2
1 + 2/5x +3
Given the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
---
y = -3x-7
n/24-40=37 solve for n
Answer:1848
Step-by-step explanation:
good luck with the test or whatever you are doing
A grocery worker is checking for broken eggs in egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results, what can the worker predict about the rest of the cartons of eggs?
Answer:a grocery worker is checking in for broken eggs in a cartoons 12 x 4 c 9
Step-by-step explanation:
Please help me asapppp
ty :)
Answer:
x-intercept: -3 y-intercept: 3
Step-by-step explanation:
Substitute 0 for both variables.
-(0)=3
(0)=3
Answer:
x intercept: [tex](-3,0)[/tex] y-intecept: [tex](0,3)[/tex]
Step-by-step explanation:
So their is two ways to do this.
OPTION 1:
Turn the standern form into slope intercept.
[tex]-x+y=3[/tex]
[tex]y=3+x[/tex]
When [tex]y=0, x=-3[/tex]
Therefore, the y-intercept is 3, and the x-intercept is -3
OPTION 2:
Graph the eqaution, and see where it intercepts
Using desmos, you can graph the equation, then see where it intercepts
It intercepts the x-axis at -3, and the y-axis at 3
1 Which of these expressions is equivalent to 32 + 48? A 8(4 + 8) B 16 (2 + 3) C 4(8 + 16) D 16 (16 + 32)
Answer:
B)16(2+3) is equivalent to 32+48
If f (x) = 7+2x and g(x) =5x -2, find f (7)
Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get
[tex]f(7)=7+2(7)[/tex]
[tex]f(7)=21[/tex]
Therefore, the value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
To learn more about the function visit:
https://brainly.com/question/28303908.
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1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
can someone help me do this
Answer:
a) S gets tends to infinity
b) S tends to zero
Step-by-step explanation:
As you know, dividing by larger numbers makes a quotient smaller. The converse is also true: dividing by smaller numbers makes the quotient larger.
__
a) The area of the label will get larger as r gets closer to zero. It will tend toward infinity.
__
b) The area of the label will get smaller as r gets larger. It will tend toward zero.
I will give brainlyst
Answer:
SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
SSS means Side Side Side and there are no angles here
what are the first 100000000000000000000 digits of pie
Answer:
The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...
Step-by-step explanation:
Solve for m. 81m2 = 36
Step-by-step explanation:
81m2 = 36
m2 = 36/81
m2 = 4/9
Square root on both sides
m = 2/3
Answer:
Step-by-step explanation:
i hope this help have a great day!
Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25.
A) 0.75
B) 0.5
C) 0.25
D) 0
Determine the slope of the line that passes through pair of points: (-4, 11) and (1,-9)
Answer:
rise/run= -20/5= -4/1=-4 slope
or you sound use the slope formula (y2-y1)/(x2-x1)
(-9-11)/(1+4)
-20/5
-4
Hope this helps
What does it mean by domain and range and how would I use that to fill out the table?
The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.
To find the y values, you replace each x with the numbers mentioned and simplify.
For instance, if x = 2, then,
f(x) = 3.50x
f(2) = 3.50*2
f(2) = 7
This tells us that x = 2 packages cost y = 7 dollars.
PLS HELP ME ASAP
DO NOT use any links
Answer:
c
Step-by-step explanation:
I need help with geometry! 20 points
Answer:
tans=0.8770580193
Step-by-step explanation:
A coconut cream pie recipe uses 6 ounces of crearn cheese, 12 ounces of condensed milk, and 10 ounces whipped topping In simplest form, how many ounces of cream cheese are there for every ounce of condensed milk?
Answer:
1 oz of cream cheese to every 2 oz of condensed milk
Step-by-step explanation:
We can completely disregard whipped topping because it does not ask for it.
We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:
6:12
6 oz cream cheese:12 oz condensed milk
The question is basically asking to simplify 6:12
Since the greatest commond factor is 6, we can divide both sides by 6 and get:
1:2
Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk
How do you solve this??? I need it fast please help with steps.
(x+3)(x+1)^2(x−4)>0
Answer:
x < -3 or x > 4
Step-by-step explanation:
The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).
The factors tell you the following about the zeros:
x = -3 . . . sign change from + to -
x = -1 . . . graph touches, but no sign change. - on either side of x=-1
x = 4 . . . sign change from - to +
__
The function will be positive for x < -3 and for x > +4.
_____
Additional comments
The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.
However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.
The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).
(In , (c) in a group of students of them are Science Society members and the rest are Mathematics Society members of the Science Society 5 members or 16 of them are girls. Find the total number of Mathematics Society members. Dalam satu kumpulan murid, daripada mereka 9 ialah ahli Persatuan Sains dan selebihnya ialah ahli 2. Persatuan Matematik. daripada ahli Persatuan . 5 Sains atau 16 orang daripadanya ialah perempuan. Cari jumlah bilangan ahli Persatuan Matematik [3 marks / 3 markah) Answer / Jawapan:
Answer:
50 studentsStep-by-step explanation:
Given:
4/9 of students are Science Society membersThe rest are Mathematics Society members2/5 of Science Society members are girls = 16 peopleFind the number of Science Society members:
2/5x = 16x = 16*5/2 = 40Find the total number of group members:
4/9x = 40x = 40*9/4 = 90Find the number of Mathematics Society members:
90 - 40 = 50