Answer:
The amount invested in the account paid 4% is $1150
The amount invested in the account paid 6% is $600
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
P is the amount investedr is the rate in decimalt is the time∵ Helene invested a total of $1,750 in two simple-interest bank accounts
∴ P1 + P2 = 1750 ⇒ (1)
∵ One account paid 4% annual interest
∴ r1 = 4% = 4/100 = 0.04
∵ The other paid 6% annual interest
∴ r2 = 6% = 6/100 = 0.06
∵ The total amount of interest she earned after 1 year was $82
∴ I1 + I2 = 82 ⇒ (2)
∵ t = 1
∵ I1 = P1 × (0.04) × 1
∴ I1 = 0.04 P1
∵ I2 = P2 × (0.06) × 1
∴ I2 = 0.06 P2
→ Substitute them in equation (2)
∴ 0.04 P1 + 0.06 P2 = 82 ⇒ (3)
Now we have a system of equations to solve it
→ Multiply equation (1) by -0.06 to make the coefficients of y equal in
values and different in signs to eliminate it
∵ -0.06(P1) + -0.06(P2) = -0.06(1750)
∴ -0.06 P1 + -0.06 P2 = -105 ⇒ (4)
→ Add equations (3) and (4)
∵ (0.04 P1 + -0.06 P2) + (0.06 P2 + -0.06 P2) = (82 + -105)
∴ -0.02 P1 + 0 P2 = -23
∴ -0.02 P1 = -23
→ Divide both sides by -0.02
∴ P1 = 1150
→ Substitute the value of P1 in equation (1) to find P2
∵ 1150 + P2 = 1750
→ Subtract both sides by 1150 to find P2
∴ P2 = 600
∴ The amount invested in the account paid 4% is $1150
∴ The amount invested in the account paid 6% is $600
which is true if figure defg is reflected across the x asic
Answer:
Explanation: If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes
Step-by-step explanation:
Answer:
1 D(0, 4) → D'(0, –4)
2 E(–2, 0) → E'(–2, 0)
3 The perpendicular distance from G' to the x-axis will equal 2 units.
Only these ones. I just took the test on Edg.
Step-by-step explanation:
3 ice cream cones cost $5.25. At this rate, how much do 2 ice cream cones cost?
Answer:
3.5
Step-by-step explanation: Just trust sweetie
Answer:
use google
Step-by-step explanation:
Mrs brown is putting different colored sands into cups
Answer:
Step-by-step explanation:
What’s the question?
Answer:
What’s the question
Step-by-step explanation:
I WILL MARK U BRAINLIEST ANSWERRRRRR PLS
Answer:
11000
Step-by-step explanation:
Keep the ratio and multiply. I will explain more later but you needed the answer
Answer:
The answers are correct so what do I do now?
Step-by-step explanation:
Please mark as brainliest
(9c^2 + 3c + 9) - (9c^2 + 2c + 7)
Answer:
c+2
Step-by-step explanation:
Distribute the Negative Sign:
=9c2+3c+9+−1(9c2+2c+7)
=9c2+3c+9+−1(9c2)+−1(2c)+(−1)(7)
=9c2+3c+9+−9c2+−2c+−7
Combine Like Terms:
=9c2+3c+9+−9c2+−2c+−7
=(9c2+−9c2)+(3c+−2c)+(9+−7)
Answer:
c + 2
Step-by-step explanation:
(9c² + 3c + 9) - (9c² + 2c + 7)
9c² + 3c + 9 - 9c² - 2c - 7
9c² + 3c + 9 - 9c² - 2c - 7
c + 2
Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.
a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2
Answer:
minium:-2................
The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.
What is differentiation?
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given below.
[tex]f(x) = 4x^2 -16x + 6[/tex]
Differentiate the function, then we have
[tex]\dfrac{d }{dx} f(x) =\dfrac{d}{dx}(4x^2 -16x + 6) \\\\ \dfrac{d }{dx} f(x) =8x - 16 \\[/tex]
The value of x will be
[tex]8x - 16 = 0\\x = 2[/tex]
Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.
[tex]f''(x) = \dfrac{d }{dx} f'(x) \\\\f''(x)=8x - 16 \\\\f''(x) = 8\\\\ f''(x) > 0[/tex]
Then the function is minimum at 2.
More about the differentiation link is given below.
https://brainly.com/question/24062595
solve each system of equations or inequalities by graphing
3x - 2y = 6
2x + y = 4
Answer:
x=2 y=0
Step-by-step explanation:
y=4-2x
3x-2y=6
3x-8+4x=6
7x-8=6
7x=14
x=2
y=4-4
y=0
One number is five more than five times another. If their sum is decreased by four, the result is twenty-five. Find
the mumbers.
Answer:
a=4 n=25
Step-by-step explanation:
5a+5=n
(a+n)-4+25
a+n=29
5(4)+5=n
20+5=25
The distance that an object falls varies directly with the square of the time it falls. If an
object falls 11 feet in 2 seconds, how long does it take the object to fall 275 feet?
a) 7 seconds
b) 8 seconds
C)9 seconds
d) 10 seconds
Answer:
I think its, C) 9 seconds
Step-by-step explanation:
What is the value of x? 2.5x=35 Answer ASAP
Answer:
14
Step-by-step explanation:
x=35÷2.5 will devide 35 by 2.5 to get x
Answer: x = 14
Step-by-step explanation: To find the value of x, you can simply divide 35 by 2.5, which gives you a final result of 14. Therefore, x = 14.
*Tip: To divide whole numbers by decimals or decimals by decimals, then you’ll have to just divide regularly and align the decimal point where it originally was, as shown in the bracket where the dividend is.
Which function represents exponential decay?
Answer:
the answer is c
Step-by-step explanation:
It appears that your thief is just as obsessive compulsive as you are. What is happening here is 'exponential decay' because the rate of decrease stays consistent from day-to-day. No matter how big your 'population' of jelly beans is on any given day, about 10% will vanish by the next day.
water is draining from a 300ml bottle at a rate of 2ml per second. How many seconds will it take for half of the water to drain?
Answer:
need points
Step-by-step explanation:
Some people know this can yall help
Answer:
D
Step-by-step explanation:
36 ÷ ( x + 9 ) = ???
36 ÷ ( 3 + 9 ) = ???
36 ÷ (12) = 3
Ans . 3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
In a regular polygon with n sides, what is the smallest angle of rotation about the center for which the polygon will be napped onto itself?
A: n
B: n/360
C: 360/n
D: 180/n
Answer:
B
this is because circle has the sum total of 360 and the side of the polygon is n
n/360
Wilma can mow the lawn in 4 hours. If Kyle helps her with another mower, the lawn can be mowed in 3 hours. How many hours would it take Kyle if he worked alone?
Answer:
12 hours
Step-by-step explanation:
Let w = Wilma alone
Let k = Kyle alone
Let t = Working together
Given the following data;
Time it took Wilma = 4 hours
Time it took them together = 3 hours
Time it took Kyle = x
To find the time it will take Kyle, we would use this arithmetical expression;
[tex] \frac {1}{w} + \frac {1}{k} = \frac {1}{t}[/tex]
Substituting into the equation, we have;
[tex] \frac {1}{4} + \frac {1}{x} = \frac {1}{3}[/tex]
Lowest common denominator (LCD) = 12x
Multiplying all through by "12x" we have;
[tex] 12x * \frac {1}{4} + 12x * \frac {1}{x} = 12x * \frac {1}{3}[/tex]
Simplifying the equation, we have;
[tex] 3x + 12 = 4x[/tex]
Rearranging the equation, we have;
[tex] 4x - 3x = 12[/tex]
x = 12 hours.
Therefore, it would take Kyle 12 hours to mow if he worked alone.
Are the rectangles below similar Justify your answer.
YES
NO
Justify your answer below (required)
Asapppppp
Which equations listed below contain like terms?
A. 2c-4x=13
B. 14p-3p=9
C. 12(13v-13)+3=14
D. 77-2x+ 15-3x=29
Answer:
B
Step-by-step explanation:
14p and 3p have the same variable
**ANSWER QUICKLY PLEASE**
which expression is equivalent to 0.5y+10.5+6.5y-0.5-0.5y?
7.5y-10
7.5y+11
6.5y+10
6.5y-11
Answer:
is 6.5y + 10
iready
Answer: 6.5y + 10
Step-by-step explanation:
Add all them together
YO I NEED THIS A.S.A.P
Answer:
you can get 4 of each
Step-by-step explanation:
How many 2/3-cup servings are in 6 cups of cereal?
Answer:
9
Step-by-step explanation:
6/(2/3)
= 9
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is Area = 0.010 + 3.141 (Time^2) . What is the predicted area, in cm2, of the circle 8 seconds after the stone was dropped?
A. 25.14cm^2
B. 50.27 cm^2
C. 64.01 cm^2
D. 201.03 cm^2
Answer: D.
Step-by-step explanation: calculator
Answer:
d) 201.03
Step-by-step explanation:
Give your simplified answer as an improper fraction.
3(x - 2) + 6 = 4(2 - x)
X =?/?
Answer:
x = 8/7
Step-by-step explanation:
3(x-2) -6 +6 = 4(2-x)
3x - 6 +6 = 8-4x
7x = 8
x = 8/7
Which of the following fractions are equal to a repeating devimal 1/3 2/5 or 5/8
Which best describes the expression b(4-n)?
Answer:
4b−bn
Step-by-step explanation:
Can i have brainliest pls?
John called a plumber to fix a leak in his bathroom. The plumber charged $30 to come to the house and $25 an hour while fixing the leak. If the final bell was $106, how many hours was the plumber
03
John's house?
05
O 7
O4
Next
O
09:45
Answer:3 hours and 4 mins
Step-by-step explanation:
The total distance a ball rolls varies directly with the time in seconds. The ball rolls a total distance of 112 centimeters in 4 seconds.
What is the time in seconds the ball rolls when the total distance is 700 centimeters?
6 s
10 s
25 s
28 s
Answer:
25 s
Step-by-step explanation:
25 times 28 is 700
How does this diagram help show that 2/7 = 8/28
Answer:
I dont even know what the diagram looks like
Step-by-step explanation:
add pictures next time, sorry
what negative 8 in graphing
Answer:
The 8 is in the quadrant III and IIII
Step-by-step explanation:
i need help with this
Subtract 8y^2-5y+7 from 2y^2+7y+11
Answer:
6[tex]y^{2}[/tex] - 12[tex]y[/tex] - 4
Step-by-step explanation:
(8[tex]y^{2}[/tex] - 5[tex]y[/tex] + 7) - (2
8 - 2 = 6
-5 - 7 = -12
7 - 11 = -4
6[tex]y^{2}[/tex] - 12[tex]y[/tex] -4
(Nice profile pic btw!)
Please can anyone help?
Answer:
x=4.44
Step-by-step explanation:
1st step: multipy both sides by -4
x(-4) divided by -4 = (-1.11)(-4)
x(-4) divided by -4 = 1.11*4
11.4*4=4.44