Answer:
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
Step-by-step explanation:
Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.
I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.
Step 1
We have to calculate the total interest earn on the initial capital
P = $2,560
R = 7.25% = 0.0725
T = 1
I = $2,560 × 0.0725 × 1
I = $185.60
Let the amount Invested in the account that paid 6% interest = x
Let the amount Invested in the account that paid 8% interest = y
Hence:
$185.60 = x × 6% + y × 8%
$185.60 = 0.06x + 0.08y......Equation 1
$2560 = x + y........ Equation.2
x = $2560 - y
$185.60 = 0.06x + 0.08y......Equation 1
185.60 = 0.06(2560 - y) + 0.08y
185.60 = 153.6 - 0.06y + 0.08y
185.60 - 153.60 = 0.02y
y = 32/0.02
y = $1600
x = $2560 - y
x = $2560 - $1600
x = $960
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.
Answer:
x = 6
x = -5
Step-by-step explanation:
Solving (1)
5x - 4 = 3x + 8
Bring variables to one side
5x - 3x = 8 + 4
The result is
2x = 12
Solve for x
½ * 2x = ½ * 12
x = 6
Solving (2)
-4x + 7 = -7x - 8
Bring variables to one side
7x - 4x = -7 - 8
The result is
3x = -15
Solve for x
⅓ * 3x = -15 * ⅓
x = -5
Plz help with this problem
Answer:
A)2x+7
Step-by-step explanation:
-x+5+3x+2
2x+7
Jeremiah is 68 inches tall. This is ten inches less than three times Kyle’s little brothers height. How tall is Kyle’s little brother?
.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?
See attachment for math work and answer.
Answer:
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
A. $486.93
B. $483.93
C. $489.93
D. $480.93
Step-by-step explanation:
help me with this question
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
10 x = − 19 Give your answer as an improper fraction in its simplest form.
Answer:
10/19
Step-by-step explanation:
Answer:
-19/10
Step-by-step explanation:
10x= - 19
divide 10 by each side to get -1.9
convert -1.9 to a fraction -1u9/10
then convert it to an improper fraction -19/10
hope this helps;)
Simplify 3over-9/3over-12
Answer:
i got
[tex] \frac{4}{3} [/tex]
I may be wrong but if not mark brainliest
I need help in this before 11:59 please
Step-by-step explanation:
√7 * √7 = 7 , which is not a irrational number
Help, please. I will give brainliest to anyone that answers first.
Answer:
5000 I think bc 5 times 1000 is 500
Answer:
Step-by-step explanation:
1000 meter = 1 kilometer
1 km= 1000 meter
constant proportionality
y/x=k
y is km , x is meter
1/1000=k
y=1/1000 x (x is the number of meters)
meter Km
250 0.25
12 12/1000=0.012
1 1/1000
kilometer meter
5 5000
20 20000
0.3 300
Solve for I.
-30 = 5(x + 1)
Answer:
x or I=-7
Step-by-step explanation:
20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125
A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(
Answer:
1.yes
2. yes, and yes [tex]\frac{4}{1}[/tex]
3. yes, its a whole number.
4.yes
5. whole, intenger, rational, real
Step-by-step explanation:
I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!
Answer:
Im not sure. but isnt the answer 15
Step-by-step explanation:
Because to find the shaded amount you would do 3x5 and get 15.
Answer:
I'm not sure tbh but I'm pretty sure the answer is 15
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?
Answer:
[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]
sin= opposite over hypotenuse
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.
Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15
[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]
[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]
Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
Factor complete x^2 +2x-15
Answer:
( x - 3 ) ( x + 15 )
Step-by-step explanation:
Answer:
3 and 5 , as − 3 + 5 = 2
∴ ( x − 3 ) ( x + 5 )
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
mr george has a bank balance of 42 dollar at the start of the mouth.after he depostite 6 dollar the new balance is
Answer:
48 dollars.
Step-by-step explanation:
If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.
A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?
Answer:
6 hours
Step-by-step explanation:
Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)
Answer:
The new coordinate of B' will be ( -1, 6)
The translated coordinate of the point B' will be (-1,6).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,
B = ( 3, 0 )
Translated 4 units down and 6 units right,
B' = ( 3 - 4 , 0 + 6 )
B' = ( -1, 6 )
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Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the
cliff. Jon is 40 + 2 feet away from the bottom of the cliff. The cliff is 200 feet tall.
Solve for x.
How far is Jon from the top of the cliff
Complete question is;
Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the cliff. Jon is 40 + 2x feet away from the bottom of the cliff. The cliff is 200 feet tall.
Solve for x.
How far is Jon from the top of the cliff
Answer:
x = 30 ft
Jon is 100 ft from the top of the cliff
Step-by-step explanation:
We are told that Jon is at the mid point of the Cliff.
Since The cliff is 200 feet tall, the Jon is; 200/2 ft = 100 ft from either the top or bottom.
Now, we are told that Jon is 40 + 2x from the bottom of the cliff.
Thus;
40 + 2x = 100
Subtract 40 from both sides;
40 - 40 + 2x = 100 - 40
2x = 60
x = 60/2
x = 30 ft
And Jon is 100 ft from the top of the cliff as earlier seen
Check all fractions equivalent to 2⁄8.
Check all that are true.
1⁄2
1⁄6
4⁄16
1⁄4
4⁄12
Ms. Darden is selling handmade gloves at the school flea market. It costs her $9 to make one pair of gloves. At the fair she sells the pairs of gloves for $15 each. If she sold 45 pairs of gloves, what was her
total profit?
S: TPIAMTF
Answer:
270$
Step-by-step explanation:
Which graph shows four points that represent equivalent ratios?
Answer:
b
Step-by-step explanation:
Only option b from the available options represents equivalent ratios.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.
The function of a line that shows the equivalent ratio always goes through the origin point of a cartesian plane.
The general form of the equation that shows the equivalent ratio:
Y = MX
Where M is Slope
therefore, From the given Options only option b is representing equivalent ratios.
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Complete Question:
4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=
Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
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HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
SHOW THE WORK BRO PLEASEEEE
What is the value of x?
Answer:
14
Step-by-step explanation:
∠AOB is a straight angle, meaning that it is 180°. Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.
∠AOC + ∠COD + ∠DOB = ∠AOB
(5x) + (3x + 30) + (2x + 10) = 180
5x + 3x + 30 + 2x + 10 = 180
10x + 30 + 10 = 180
10x + 40 = 180
10x + 40 - 40 = 180 - 40
10x = 140
10x/10 = 140/10
x = 14
help me solve b=3x+9xy
I need help with this
Answer:
a and d
Step-by-step explanation:
pls mark brainliest