Answer:
[tex]3\%[/tex] p.a.
Step-by-step explanation:
The formula for simple interest is [tex]I=PRT[/tex] ([tex]I =[/tex] interest, [tex]P =[/tex] principal, [tex]R =[/tex] rate)
First, let's express the interest earned in one and three years:
[tex]I_{1} = PRT_{1}[/tex] (finding the interest earnt in one year)
[tex]I_{1} = \$ 500\times R \times 1[/tex]
[tex]=\$ 500R[/tex]
[tex]I_{2} = PRT_{2}[/tex] (finding the interest earnt in three years)
[tex]I_2 = \$ 500 \times R \times 3[/tex]
[tex]=\$ 1500R[/tex]
From the information "The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30", we can write:
[tex]I_{2}-I_{1} = \$ 30[/tex]
[tex]\$ 1500R - \$500 R = \$ 30[/tex]
[tex]\$ 1000R = \$ 30[/tex]
[tex]R = 0.03[/tex]
[tex]=3\%[/tex] p.a.
∴ The annual interest rate is [tex]3\%[/tex]
Hope this helps :)
The annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $500,
Time, t = 1 year and T = 3 year,
Calculate the interest by the formula given below,
[tex]SI = P\times R\times T / 100[/tex]
Here, SI is the simple interest.
So for 1 year time,
Substitute the values,
SI = 500 × R × 1 / 100
SI = 5R
Now for 3 year
SI = 15R
But 15R - 5R = 30 (Given in question)
R = 3%
Therefore, the annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
To know more about interest:
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The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x
2 onto the graph of
y = x
2 − 8x + 25.
Answer:
(x + 4), (y + 9)
Step-by-step explanation:
y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.
The turning point of y = x^2 is at the origin (0, 0).
So the transformation is 4 units to the right and 9 units upwards:
(x + 4), y+ 9).
I need help plz on this question
Answer:
-1/3
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
6x+5y=1
6x−5y=7
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Subtract the bottom equation from the top equation.
(Choice B)
B
Add the equations.
(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.
9514 1404 393
Answer:
A Subtract the bottom equation from the top equation.B Add the equations.Step-by-step explanation:
The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.
The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.
Both strategies (subtracting, adding) are applicable to this system of equations.
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how many people live in both countries combined?Express your answer in scientific notation
Answer:
The number of people living in both countries is 1.704 x 10⁹
Step-by-step explanation:
Given;
Population of people in China, = 1.381 x 10⁹
Population of people in united states, = 3.23 x 10⁸
The total number of people living in both countries is given as;
Total population = 1.381 x 10⁹ + 3.23 x 10⁸
Total population = 1.381 x 10⁹ + 0.323 x 10⁹
Total population = (1.381 + 0.323) x 10⁹
Total population = 1.704 x 10⁹
Therefore, the number of people living in both countries is 1.704 x 10⁹
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
What are the solution points for the system graph?
A)
(0,2)
B)
No solution
C)
(0,1)
D)
(0,0)
Answer:
if i right it (0,2)
Step-by-step explanation:
i hope u get it right
Answer:
No Solutions
The two equations do not have any intersecting points, so the answer would be zero solutions.
Step-by-step explanation:
If point A is located at (-12, 6) on a coordinate plane, and point B is located at (4, 6), what is the distance between the two points? *
Answer:
the answer is (7,5) (5,5)
Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon
Answer:
The unit cost is $3.15
Step-by-step explanation:
Here, we want to get the price per gallon
mathematically, that will be total amount spent divided by the number of gallons
That will be;
44.10/14 = $3.15
Find the equation of the line y=___x+___
Answer:
y = 3x + 3
Step-by-step explanation:
...............................
HELP PLEASE!!!!
Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.
-9 is the answer
your welcome
A train travels at a speed of 58.6 km/h. Express this speed in
a. m/s
b. cm/min
Answer:
16.27778 m/s
97666.6667 cm/min
Step-by-step explanation:
a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.
m/s = (58.6 * 5) /18 = 16.27778 m/s
b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute
so 58.6 * 1666.666 =97666.6667 cm/min
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation: Subtract 6 - 4 = 2. 2 * 2 = 4. 4 + 5 = 9. 9 - 3 = 6. 6 +6 = 12
two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another
Answer:
la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb
Find all real values of x that satisfy the equation x^2 - 7x = 98.
The points (5, 7) and (4, 5) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
y=2x−3
Step-by-step explanation:
What is the Least Common Denominator for the two fractions? 1/4 and 7/10
Answer:
1/4
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Help me and I’ll give brainliest to u
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!
11x + 18 = 172 not a test i need the right awnser
Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
When we solve the inequality, will we keep or switch the inequality sign?
−6+y< 3
Answer:
You keep the inequality sign.
Step-by-step explanation:
Please mark brainliest.
Answer: you would keep the sign
Find the y-intercept and x-intercept of the line.
x-3y=6
y-intercept:
x-intercept:
Answer:
x=(6,0) y=(0,-2)
Step-by-step explanation:
hope it helped:)
Percent Problems
Tools
5
A gumball machine has 450 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in
the gumball machine?
OA. 375
OB. 600
OC. 525
OD. 337.5
I'LL GIVE BRAINLIEST!!
Answer: 3
Step-by-step explanation:
1. 2²=4
2. 4*5=20
3. 180/20=9
4. √9=3
Hope this helped :)
Answer:
x = 3
Choice 2
Step-by-step explanation:
180 = 2^2 * x^2 * 5
180 = 20x^2
9 = x^2
x = 3
Checking:
180 = 2^2 * 8^2 * 5
180 = 4 * 9 * 5
180 = 36 * 5
180 = 180
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
Solve the following system of equations using substitution.
y = 2x-2
-4x-y = 26
Answer:
x = -4
y= -10
Step-by-step explanation:
Solving for x
-4x-y = 26
-4x-(2x-2) = 26
-6x+2 = 26
-6x = 24
x = -4
Solving for y
y = 2x-2
y = 2(-4) -2
y= -8-2
y = -10
how many days into xmas ?
Answer:
Christmas is in 10 days!
Other:
Brainliest? Thanks!
The length of a rectangle deck is 3 times its width. If the deck's perimeter is 16 ft, what is the deck's area?
Answer:12
Step-by-step explanation:
3x+3x+x+x=16
8x=16 so x =2
2*3=6 6*2=12
Answer:
12 sq ft
Step-by-step explanation:
let w = width
let 3w = length
w + w + 3w + 3w = 16
8w = 16
x = 2
Area = 3(2) x 2
A = 6 x 2
please help I would really Appreciate it so much
Answer:
I think it is b
Step-by-step explanation:
it is 3a times all of the numbers in parenthases
hope you pass your test
HAPPY NEW YEAR
Answer:
the answer is 15a+12ac+6ab
Step-by-step explanation:
3a(5+4c+2b)
(3a)(5+4c+2b)
(3a)(5)+(3a)(4c)+(3a)(2b)
15a+12ac+6ab
6ab+12ac+15a
hope this helps!
12. Write an equation in slope-intercept form that passes through (5,-2) and (-16,4).
Answer:
Slope: (y2-y1)/(x2-x1)
(4+2)/(-16-5) = 6/-21 = -2/7
Y = -2/7x + b
5 = -2/7(-2) + b, b = 31/7
Equation: y = -2/7x + 31/7
Step-by-step explanation:
pllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer: its most likely p to the power of 6 :)
Step-by-step explanation:
Answer:
The answer for (p^3)^2 is p^6
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^