Given:
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.
Total interest in one year = $1230
To find:
The rates of the investments.
Solution:
Let x% be the rate of interest on investment $5000.
Then, (x+4)% is the rate of interest on investment $8000.
Total interest is $1230. So,
[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]
[tex]50x+80(x+4)=1230[/tex]
[tex]50x+80x+320=1230[/tex]
[tex]130x=1230-320[/tex]
[tex]130x=910[/tex]
Divide both sides by 130.
[tex]x=\dfrac{910}{130}[/tex]
[tex]x=7[/tex]
Now,
[tex]x\%=7\%[/tex]
[tex](x+4)\%=(7+4)\%=11\%[/tex]
Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8,9)
Line 2: (2, - 4), (11, -6)
The slope of line 1 is...
The slope of line 2 is...
These 2 lines are...
Answer:
The Slope of Line 1 is -> [tex]-\frac{2}{9}[/tex]
The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!
Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0.01, b) el área a la izquierda de t1 sea 0.95, c) el área a la derecha de t1 sea 0.10, d) el área a la derecha de t1 junto con el área a la izquierda de –t1 sea 0.01, e) el área entre a –t1 y t1 sea 0.95.
Answer:
a) t₁ = 2,947
b) t₁ = 2,131
c) t₁ = 1,753
d) t₁ = 2,947 -t₁ = -2,947
e) t₁ = 2,131 -t₁ = -2, 131
Step-by-step explanation:
a) t₁ para el área a la derecha de 0,01
En la tabla t- student el t correspondiente a 0,01 es:
t₁ = 2,947
b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es 0,05
t₁ = 2,131
c) t₁ para que el área de la derecha sea 0,10
t₁ = 1,753
d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda de (- t₁ ) sea 0,01.
Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego
t₁ = 2,947 y -t₁ = -2,947
e) Para que el área entre - t₁ y t₁ sea 0,95
t₁ = 2,131 y -t₁ = -2, 131
Which proportional statements are true for finding the value of x? Check all that apply. group of answer choices 6=916 6 x = 9 16 6=916 6 x = 9 16 616=9 6 16 = 9 x 616=9 6 16 = 9 x 96=16 9 6 = x 16 96=16 9 6 = x 16 9=166 9 x = 16 6 9=166 9 x = 16 6 9=616
Answer: the answers are:6/16=9/x: 9/6=x/16: and 9/x=6/16
Step-by-step explanation:
What is the equation of a line that goes through the point (0, -5) and has a slope of -3?
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
[tex]y = mx + b[/tex] where m is the slope, and b is the y-intercept.
or
[tex]y-y_{1} = m(x-x_{1} )[/tex] where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
Answer:
i dont know
Step-by-step explanation:
What is the solution set for 24+ 2 = 6 given the replacement set {1,2,3,4} 1=2 1-4
x = 2
x = 4
x = 1
x = 3
Answer:
x is 2
Step-by-step explanation:
A scientist is filling beakers of water for an experiment. He begins with 3 liters of water in a large container and each beaker holds 2/5 of a liter of water. How many beakers can the scientist fill?
Answer:
just looking for free point..
Step-by-step explanation:
Simplify the rational expression -9x/x-x^2
See image attatched below SOMEONE HELP ME ASAP
Answer:
-9/x-1
The top one.
HELP I HAVE UNTIL TOMORROW!!!
Answer:
X=85°....
Step-by-step explanation:
you do this by first acknowledging that in any triangle 180° will be present... so 40 + 45° equals 85°..this means that the other angle in the triangle will equal 95 degrees... now, in a line there's 180° present... that means 180 minus the 95 from the angle of c equals 85.
please please help help
I WILL GIVE BRAINLIEST
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3
Answer:
Step-by-step explanation:
1. yes
2. no - it's a quadratic equation
3. yes
Answer:
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9-- linear equation✓
2. −x^2 + 9y = 21-- quadratic equation
3. 6x + 1/4y = 3-- linear equation✓
Can someone help me with problems 3&4 please
Answer:
about 37 times
the range of what function include-4
sam has read 56 pages of a 224page book what percentage of the book has he read
Answer:
25%
Step-by-step explanation:
(56/224)*100
Answer:
25%
Step-by-step explanation:
56 pages of 224 pages
56/224
= 1/4
1/4 = 0.25
1/4 & 0.25 = 25%
Which number line shows the solution to the inequality?
x + 1> 5
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
the ratio of the number of adults to the number of children in a library is 12:5 if there are 45 children in the library how my adults are there at the library.
I need help with this question.
Answer:
5c-5=45
Step-by-step explanation:
Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.
Try These questions out and I’ll give you brainliest My friends
Answer:
question 10 is B
Step-by-step explanation:
I’m pretty sure I know the answer but I just wanna check myself, thanks :)
If it is 7:00 pm in New Mexico (NM), what time is it in Maryland (MD)?
United States
Pok
Morgan
Canon
Eastern
O 5:00 pm
O 8:00 pm
o 9:00 pm
O 6:00 pm
A. f(x)=2x+1
B.f(x)=x/2-1
C. f(x)=2x-1
D.f(x)=x/2+1
Answer:
D
Step-by-step explanation:
If you use a calculator and try each you will see that d is correct 3/2+1=2.5 3 is your x from the table and keep doing that with all and see if its true which it is
Trevor was reading a book for a book report last week he read 55 pages of the book this week he read 3.5 times as much pages as he reads last week
Answer:
192.5
Step-by-step explanation:
multiply 55 and 3.5
If f(x)= -3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true
Answer:
If i did this right the answer would be f(2)=g(2)
both numbers are 2 and the numbers are (x) so x=2
Step-by-step explanation:
Hope this helps Kas <33
"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
Answer:
80 labels
Step-by-step explanation:
Which probability indicates that an event is not likely to occur?
14
12
34
1
Answer:
its 14 or 1/4 as you said | if it is not fractions and is whole numbers it is 1
Step-by-step explanation:
1/4 is the smallest value out of all of them, making it the least probable to happen
if they are not fractions, it is 1 because that is the smallest value, making it the least probable
hope this helped!
Answer:
Step-by-step explanation:its 1/4
Evaluate the expression 54⁰
Answer:
1
Step-by-step explanation:
All numbers to the power of 0 are 1.
PLS GIVE BRAINLIEST
PLS ANSWER QUICK DOING TEST PLS PLS PLS :(
Which table of values corresponds to the graph below?
Btw first picture is not an option that's the graph that you have to answer so pls tell me
Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost of the large popcorn and the small drink?
Answer:
$3 for the small drinks and $4 for the large popcorn
Step-by-step explanation:
so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4
Answer:
The large popcorn bucket cost $4 and the small drink cost $3.
Step-by-step explanation:
Which statement is true regarding the functions on the
graph?
° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)
Answer:
f(2) = g(2)
General Formulas and Concepts:
Alg I
Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equationsStep-by-step explanation:
We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.
Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.
Answer: A f(2) = g(2)
Step-by-step explanation: look at the picture
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answer:
The answer is A
Step-by-step explanation: