Answer:
This is a simple interest, as the amount earned each year is constant
Step-by-step explanation:
Using compound interest, it is found that the constant percent rate of change is of 4%.
--------------------
The formula for an amount of money invested into compound interest is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.--------------------
The function is:
[tex]g(x) = 300(1.04)^x[/tex]
Thus, for the constant percent rate of change:
[tex]1 + r = 1.04[/tex]
[tex]r = 1.04 - 1 = 0.04[/tex]
[tex]0.04 \times 100\% = 4\%[/tex]
The constant percent rate of change is of 4%.
A similar problem is given at https://brainly.com/question/3044643
Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
3x - y = 4 ( subtract 3x from both sides )
- y = - 3x + 4 ( multiply through by - 1 )
y = 3x - 4 → A
what is the answer to 90π + 2π(7.5)2
Answer:
635.75
Step-by-step explanation:
90π + 2π(7.5)²
~Simplify
90π + 2π(56.25)
~Multiply
282.5 + 2(176.625)
~Simplify
282.5 + 353.25
635.75
All this was simplified using PEMDAS.
Best of Luck!
solve the simultaneous equation
x+2y=5
x²-y²=-3
Answer:
y = 14/3 and 2
x = -13/3 and 1
(-13/3, 14/3) and (1, 2)
Step-by-step explanation:
[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]
for equation (a)
make x the subject of the formular:
[tex]x = 5 - 2y - - - (c)[/tex]
for equation (b)
[tex] {x}^{2} - {y}^{2} = - 3[/tex]
substitute for x as 5 - 2y in equation (b):
[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]
therefore,
[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]
substitute for all values of y in equation (c):
for y = 14/3:
[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]
for y = 2:
[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]
Answer:
(1, 2)
(-13/3, 14/3).
Step-by-step explanation:
x + 2y = 5
x² - y² = -3
From the first equation x = 5 - 2y
Substitute for y in the second equation:
(5 - 2y)^2 - y^2 = -3
25 + 4y^2 - 20y - y^2 = -3
3y^2 - 20y + 28 = 0
Factoring:-
(3y - 14(y - 2) = 0
y = 2, 14/3.
So when y = 2, x = 5 - 2(2) = 1.
When y = 14/3, x = 5 - 2(14/3) = -13/3.
Checking the results in the second equation:
(1, 2):-
1^2 - 2^2 = -3 Correct.
(-13/3, 14/3):-
(-13/3)^2 - (14/3)^2 = -3 Correct.
The cost of a camp is $300 for the first week and $125 for each week beyond the first. The total cost can be modeled by the expression 300 + 125(x – 1). What does (x – 1) represent?
x - 1 is the total number of weeks minus the first
Answer: x-1 is number of weeks-1st week
Step-by-step explanation:
x represents the number of weeks bring the first.
-1 is to remove the first week that costs $300
Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?
Answer:
20 weeks
Step-by-step explanation:
200-1.5w=180-0.5w
You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.
12. Find the component form of the vector that translates A(-4, 8) to A'(7, -9).
Answer:
a-4,8+_84(4+4(*:84
dirkrk
The component form of the vector that translates will be 11i - 17j.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The translation does not change the shape and size of the geometry. But changes the location.
The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,
(7, - 9) = (- 4 + x, 8 + y)
Compare the abscissa, then we have
7 = - 4 + x
x = 7 + 4
x = 11
Compare the ordinate, then we have
y + 8 = - 9
y = - 8 - 9
y = - 17
The component form of the vector that translates will be 11i - 17j.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
can u solve it? what is5/7+4/5=?
please tell me this is homework for 8th grade bc i am in 8th so plz help me im not very good at math
Step-by-step explanation:
5/7+4/5
LCM of 5,7 is 35
So,
25+28/35
53/35
Answer:
53/35
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
6+(-2) is __ units from 6, in the __ directon
Answer:
4 is 2 units from 6, in the east direction (of a graph)
Pls can anyone mention pri.e numbers from 1 to 100..
Pls answer ASAP
Scammers will be reported!!!
hope it will help you Mark me as brilliant
Answer:
hope this helps and you meant prime numbers
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Find the numerical value, if x = 3 and y = 2.
4x + Зу -2
5y + 3
Answer:
4(3) + 3(2) - 2 = 16
5(2) + 3 = 13
Step-by-step explanation:
You insert the numerical values given for the variables X and Y.
Cal can make 6 bracelets in 2 hours. How many bracelets can he make in 3 hours?
Answer:
9 bracelets
Step-by-step explanation:
Divide 6/2 = 3 bracelets per hour
3 bracelets * 3 hours = 9 bracelets
Answer:
9Step-by-step explanation:
bc i say so
Can I get some help on this ?
Answer:j r f a h
Step-by-step explanation:
HELP PLEASEEEEEEEEEEE
Answer:
The answer you have selected is correct.
Step-by-step explanation:
Answer:
X^2 - 7xy + y^2 +2y
Step-by-step explanation:
For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket
answer is fast plz please please please
In 2003, the population of an African country was about 22.5 million people, which is 1 million more than
5 times the population in 1950.
Enter and solve an equation to find the approximate population p (in millions) in 1950.
An equation is
The approximate population in 1950 was
million people.
Answer:
Population of Africa in 2003 is 22.5 million
population of Africa in 1950 is 1 million - 22.5 million /5
21.5million / 5
21500000/5
4300000
4.3 million people
Please help thanks .
Answer:
2
Step-by-step explanation:
Answer:
2x+2y=2
Step-by-step explanation:
2x+2y=....
So you substitute x for 4 and y for -3.
Which would will give you 2(4)+2(-3). 2·4+2·3 which would give you 8+-6
Then you would add 8 and -6.
8+-6
That should give you 2.
9. Arrange 3 519;3951; 3191 in descending order.
Answer:
3951>3519>3191
Step-by-step explanation:
hope you understood how
simplify each expression
Answer:
3
Step-by-step explanation:
Given
[tex]\sqrt[3]{\sqrt{729} }[/tex]
Evaluate from the ' inside- out ' , that is
[tex]\sqrt{729}[/tex] = 27 , then
[tex]\sqrt[3]{27}[/tex]
= 3
Answer:
3
Step-by-step explanation:
[tex] \sqrt[3]{ \sqrt{729} } [/tex]
[tex] = \sqrt[3]{ \sqrt{ {27}^{2} } } [/tex]
[tex] = \sqrt[3]{27} [/tex]
[tex] = \sqrt[3]{ {3}^{3} } [/tex]
[tex] = 3[/tex] ✅
Find an
expression which represents the sum of (-X – 7) and (-9x + 6) in
simplest terms.
Answer:
sum is -(10x + 1)
Step-by-step explanation:
[tex]( - x - 7) + ( - 9x + 6) \\ = ( - x - 9x) + (6 - 7) \\ = - 10x - 1 \\ = - (10x + 1)[/tex]
Answer:
[tex]( - x - 7) + ( - 9x + 6) \\ = - x - 7 - 9x + 6 \\ = - 10x - 1 \\ thank \: you[/tex]
Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15
Answer:
D
Step-by-step explanation:
x + 5 > 11
is the same as
x > 6
and because it is ">" and not ">=", the solution point is not included.
therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".
[(30 + 6) − 3^2] ÷ 9 ⋅ 2
Answer: 6
Step-by-step explanation:
[tex]((30+6)-3^{2})\div9\times2\\(36-9)\div9\times2\\(27)\div9\times2\\3\times2\\6[/tex]
Answer:
135/46
Step-by-step explanation:
30+6=36
3^2 = 9
36-9=27
27/9.2=135/46
Which variable is dependent temperature or time of day? Which variable is independent?
Answer:
The temperature depends on the time.
The independent variable is the variable the experimenter manipulates or changes.
Hope it helps you.Given the piecewise function shown below, select all of the following statements that are true
Answer:
A and C
Step-by-step explanation:
A
when x = 2 , that is x > 1 then f(x) = x² , that is
f(2) = 2² = 4 ← True
B
when x = 5, that is x > 1 then f(x) = x² , that is
f(5) = 5² = 25 ≠ 1 ← not true
C
when x = 1 then f(x) = 5 , that is
f(1) = 5 ← True
D
when x = - 2 , that is x < 1 , then f(x) = 2x , that is
f(- 2) = 2(- 2) = - 4 ≠ 4 ← not true
Insert grouping symbols to make each number sentence true 7*8-6+3=17
Answer:
7*(8-6)+3
Step-by-step explanation:
Grouping symbols are parentheses; trial and error can lead you to this answer.
Checking, we must use order of operations (PEMDAS). First, we evaluate what's inside parentheses.
7 * 2 + 3
Then multiply:
14 + 3
Then add
17
HELPP PLEASE NEED ASAP!!
Answer:
I agree with the answer above me
Step-by-step explanation:
You can give the brainliest to them
Add. Write your answer as a fraction in simplest form. 6+(−4 3/4)+(−2 1/8)=
Kim was given $16 for weeding the
garden. She now has $39. How much
money did she start with?
pls help!! it will mean a lot thank you:)
pls guys i need help fast D:
√1024
√10000
√1296
Answer:
1. 32
2. 100
3. 36
..........................
Answer:
32
100
36
Step-by-step explanation:
Determine what type of transformation is represented.
A. translation
B. reflection
C. rotation
D. none of these
Answer:
B
Step-by-step explanation: