Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
PLS HELP 50 points!!!! Which relation is a function?
O {(-2, 1), (-7, - 1), (2, 8), (-7, – 8)}
O {(-2, 2), (-7, 7), (-1, 1), (-8, 8)}
O {(-2, 1), (-2, 2), (-2, 7), (-2, 8)}
O {(1, -7), (2, – 8), (-2, 7), (1, 8)}
Answer:
B
Step-by-step explanation:
For a relation to be a function, it must fit the following criteria:
Each input must be matched to exactly one output. Inputs cannot repeat*. Outputs can. *If inputs do repeat, they must be equal the same output as the other inputs.So, let’s go through each of the choices.
Choice A)
In this relation, -7 repeats. It simultaneously equals -1 and -8. So, this is not a function since it’s repeating and it doesn’t equal to same.
Choice B)
In this relation, none of the inputs are repeating. Therefore, B is the corrrect answer.
Choice C)
In this relation, -2 repeats four times. And each time, it equals something different. Therefore, C is not a function.
Choice D)
Here, 1 repeats twice, equalling both -7 and 8. Since it appeared more than once and is not equal to the same thing, D is not a function.
Therefore, our answer is B.
Edit: Typo
Find the distance between the pair of points below. You may
round to the nearest tenth when necessary.
(6,9) and (1,-3)
Answer: is 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
The equation y=1/2x represents proportional relationship. What is the constant of proportionality?
Answer:
1/2
Step-by-step explanation:
Please help this math question is kinda confusing to me just a little bit. Please explain. Thanks
Step-by-step explanation:
Add both lengths and you see the overlap thats 12 cm so subtract that to get the length.
Answer:
1.94 m
Step-by-step explanation:
1 meter=100cm
Then we need to convert the two lengths which is 135 cm and 83 cm
so then since it is overlap we multiply by two 12 cm*2= 24 cm
Then we add 135 and 83= 135+83 = 218 cm
218 cm - 24 cm = 194 cm
So then 194 cm to m = 1.94 m
PLEASE give Brainliest
Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)
Answer:
F
Step-by-step explanation:
Determine if there is a correlation and slope for the
scatterplot
positive correlation, positive slope
positive correlation, negative slope
negative correlation, negative slope
* no correlation, undefined slop
Answer:
A
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
edge 2021
A direct variation equation is in the form of y=kx.Is this a direct variation equation ?
Yes or No
Answer:
yes that is the direct variation equation
What is the Equation of a line that has a slope
of -3 passes to the point (4,-5)
Answer:
y= -3x + 7:)
Step-by-step explanation:
Hope this helps!
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (4, - 5) into the partial equation
- 5 = - 12 + c ⇒ c = - 5 + 12 = 7
y = - 3x + 7 ← equation of line
A spool of ribbon is 85 inches long. riley needs to cut strips of ribbon that are 17 inches long. what are the possible numbers of strips that riley can cut?
Answer:
80/14=5.7 OR 5 14 IN.
Step-by-step explanation:
The profit a company urns every month depends on the amount of product sold, p, for $855 each and the amount spent in rent, utilities and other expenses, which always totals to $6,780. The CEO of the company earns 15% of this profit. How much does the CO heard if the company sells 250 products in a given month?
Answer:
CEO earns $31,045.5
Step-by-step explanation:
Price of each product = $855
Number of product sold = 250
Total revenue = price × quantity
= 855 × 250
= $213,750
Total expenditure = $6,780
Profits = Total revenue - Total expenditure
= 213,750 - 6,780
= $206,970
Profits = $206,970
The CEO of the company earns 15% of this profit
Amount CEO earns = 15% of $206,970
= 15/100 × 206,970
= 0.15 × 206,970
= $31,045.5
CEO earns $31,045.5
is 4÷3/2 the same as 4÷2/3
Answer:
Yes, they are their just switched around to counfuse you :)
Step-by-step explanation:
A smartphone device has a certain cost. A person gets this smartphone and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. Which is the Independent Variable in this scenario? A. The cost of the smartphone device. B. The charge per GB of data used. C. The number of GB data used. D. The total amount they pay for the new device and new phone plan in the first month.
Answer:
C. The number of GB data used.
Step-by-step explanation:
Independent variable is the variable that is changed or manipulated in an experimental scenario. The independent variable is changed in order to effect response in another variable called Dependent variable, which is dependent on the independent variable.
According to this question, a person gets a smartphone at a certain cost and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. One would observe that the variable changed here is the "Number of GB of data used", hence, it is the INDEPENDENT VARIABLE. The charge per GB of data used is dependent on the number of GB of data used hence it is the dependent variable.
Answer:
C. The number of GB data used.
Step-by-step explanation:
If both the numerator and denominator of 48/65 are divided by 8, the fraction will be in lowest terms. true or false?
Answer:
your answer is false!!
Step-by-step explanation:
Help needed ASAP will give you brainliest and 5 STARS RATE
Answer:
it is very long
Step-by-step explanation:
Answer:
It has more than one complete thought
Step-by-step explanation:
...
HELP!!! What is the equation in point-slope form of the line that passes through point (2,-3) and has a slope of 4
Answer:
y = 4x - 11
Step-by-step explanation:
given slope m = 4
point (2, -3) for (x1, y1)
equation for point slope form
y - y1 = m(x- x1)
y - (-3) = 4 (x -2)
y + 3 = 4x - 8, simplify
y = 4x - 11
Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.
Answer:
t+5+x
Step-by-step explanation:
It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week
Answer:
t + 5
Step-by-step explanation:
In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.
Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!
Can someone help me confused on how to solve but it might be easy I just think I'm dumb
Given the formula y = -1/2x - 4, what is the slope and y-intercept of the graph? PLEASE HELP!
Answer:
the slope is -1/2 and the y-intercept is -4
Step-by-step explanation:
The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.
Find the length of HJ.
Answer:
The answer is D
Step-by-step explanation:
Because the whole length is 29.1 so you would subtract the part you have which is 16.8 so 29.1-16.8=12.3
can you help solve for m
Answer:
m = [tex]\frac{w}{g}[/tex]
Step-by-step explanation:
Answer:
M=w/g
Step-by-step explanation:
M =w/g Ia the answer
6 : 4 is equivalent to
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c:
How do you know what 0 to place the decimal point at for scientific notation? Please explain in detail.
To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10".
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
A) y = 1.4x
B) y = 3x
C) y = 1/2x
D) y = 2.2x
Answer:
A. 1.4x and C. 1/2x
Step-by-step explanation:
Relationship A is 4/2x which is 2x. So everything lower than y=2x would be the answer.
Answer:
y=1.4x
y=1/2x
Step-by-step explanation:
the correct answer
5% of what number is 300?
Answer:
6000
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
5% = 0.05.
0.05x = 300
divide both sides of the equation by 0.05
0.05x/0.05 = 300/0.05
x = 300/0.05
x = 6,000
please help me with this!!!!!
All you have to do is add up all of the numbers and then yo uwill have your answer
Identify the slope and y-intercept:
y = -1/5x+12
Slope:
y-intercept:
Answer:
Slope: -1/5 y-intercept: 12
Step-by-step explanation:
y = -1/5x + 12
The equation given is the slope-intercept form, y= mx + b
In this equation, the m, or number in front of the x, is the slope of the line.
The b in the equation represents the y-intercept.
Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.
Answer: slope: -1/5
Step-by-step explanation: Y intercept: 12
HELP !!! Find the coordinates of 3 points that lie on the graph of each equation. Graph the points and the line representing the equation. Then named the coordinates of one point not on the line.
Answer:
poggers ngl
Step-by-step explanation:
Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ
3.14 × 10³ ○ 2.6 × 10⁴ = ?
( compare )
Answer:
3.14 times 1000 you can say is bigger
Step-by-step explanation:
s(x)= -3(x-2/3) + 19; s(x) = 0
Answer:
x = 7
Step-by-step explanation:
Given s(x) = - 3(x - [tex]\frac{2}{3}[/tex]) + 19 and s(x) = 0, then equate the right sides, that is
- 3(x - [tex]\frac{2}{3}[/tex] ) + 19 = 0 ( add 19 to both sides )
- 3(x - [tex]\frac{2}{3}[/tex] ) = - 19 ← distribute the parenthesis
- 3x + 2 = - 19 ( subtract 2 from both sides )
- 3x = - 21 ( divide both sides by - 3 )
x = 7
How do I simply this expression?
Answer:
Hope this helps!!
Step-by-step explanation:
5x - (6 - x) (distribute the - to 6 and -x)
5x - 6 + x (collect like terms 5x + x)
6x - 6
6x - 6 = 0 (add 6 on both sides)
6x = 6 (divide by 6)
x = 1
I would put all this down for the problem.
