Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Step-by-step explanation:
option b is the correct answer
Cube root of a negative number is
(a) Positive
(b) 0
(c)negative
(d)not define
Answer:
(c) negative
Step-by-step explanation:
hope this helps
a cookie recipe calls for 1 2/3 cups of sugar. If you plan on changing the recipe to make 2 1/2 times as much, how many cups of sugar will you need?
Answer:
4 1/6
Step-by-step explanation:
2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6
HELP WITH THIS OLEASE I WILL MAKE BRWINLIST
Answer:
y=6x-2
Step-by-step explanation:
I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)
Answer:
y=1.2x-2
Step-by-step explanation:
add 6x to both sides (5y = 6x-10)
divide both sides by 5 (y = 1.2x - 2)
one point you will find on (0,-2) and another point will be (5,4)
you need at least 2 points to graph the line
Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).
Answer:
y=12x-45
Step-by-step explanation:
First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.
Now we have:
y=12x+48
where the slope is 12.
Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.
Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)
Step 1 for this: y-3=12(x-4)
Step 2: we will distribute and solve for y so our answer is in slope intercept form.
Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45
Our answer is y=12x-45
Hope this helps!
Sammi had 19 marbles and bob gave him 1/7 of his marbles now Sammi has 27 how many marbles did bob have originally?
pls help
Answer:
56
Step-by-step explanation:
27 - 19 = 8
8 x 7 = 56
plz help me its due soon :( im sad
Answer:
your answer should be 25 feet
Step-by-step explanation:
Answer:
why are you sad
Step-by-step explanation:
25 ft
Solve for y 2x+5y=10
Answer:
y=2/5x−2
Step-by-step explanation:
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
help mehhhhhhhhhhhhhhhhhhhhhhh ;(
Answer:
180 minutes in 3 hours 225 miles in 3 hours
Step-by-step explanation:
At what
interest rate
would Dalton have
to have to invest $3,600
to double his money in 10 years?
Answer: I think beetlejuice post the answer here look up jewtube
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
For more details, refer to the link:
https://brainly.com/question/13599569
[tex]80 = 6400 \div [/tex]
plssss I need help
What is the midpoint between (5,1) and (-1,4)
Answer:
2, [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex] , [tex]\frac{1 + 4}{2}[/tex] = 2, [tex]\frac{5}{2}[/tex]
Put the equation in the correct order
If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the range, so each domain value maps to only one range value. The relation is a function.
Answer:
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Step-by-step explanation:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
B. This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
As we know that:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
It is given that Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Now, whole numbers between 2.5 and 7.5 are:
[tex]3,4,5,6[/tex]
There are 4 numbers in the domain and 6 numbers in the range.
That is the elements in domain are less than the elements in the range.
Therefore, this relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Hence the correct option is A.
Learn more:https://brainly.com/question/2264373
Please help me solve this problem please
Answer:
x=11
Step-by-step explanation:
5x-6x-3=25-3x
5x+3x-6x=25-3
2x=22
x=11
(-45) + (+3) =
A -42
B -40
C 40
Answer:
Step-by-step explanation:
-42
What is the index in the expression
2
2?
Answer:
2
Step-by-step explanation:
What is the value of y
Which is a solution of 2(t-1)+3t<2?
t < 0.8
t ∈ ( - oo ; 0.8 )
Step-by-step explanation:Hi there !
2(t - 1) + 3t < 2
2t - 2 + 3t < 2
5t < 2 + 2
5t < 4
t < 4/5
t < 0.8
t ∈ ( - oo ; 0.8 )
Good luck !
simplify 3x(4x-5)+3 and its value for X = 3
Answer:
Step-by-step explanation:
3x ( 4x - 5 ) + 3
12x^2 - 15x + 3
12 × 3^2 - 15 × 3 + 3
12 × 9 - 45 + 3
= 108 - 45 + 3
= 66
Hope this helps
plz mark as brainliest!!!!!!
I NEED HELP ASAP!!!
Question: Which equation applies the associative property of multiplication?
misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.
Write an equation of the graph in slope-intercept form.
A. y=-100/3x+450
B. y=100/3x-450
C. y=450x+100/3
Answer:
omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs
Step-by-step explanation:
Answer:
Option A. y=-100/3x+450 is correct.
Step-by-step explanation:
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
can someone help me
Answer:
B
Step-by-step explanation:
Cuz the other would be a straight line
Bill cut out 6 squares and 8 circles . He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?
Answer:
2 groups
Step-by-step explanation
To find out how many groups can be made for 6 circles and 8 squares, start by finding what you can divide by both numbers.
6 can be divided by: 8 can be divided by:
1 1
2 2
3 4
6 8
The greatest number that they both have in common is 2. There would be 3 circles and 4 squares if Bill divided into 2 groups.
I hope this helped. Let me know if you still have any questions!
856 divided by 57 somebody please help?
Answer:
15.0175439
Step-by-step explanation:
856/57 = 15.017
Please tell me if it is correct! :)
Please help! It’s fairly easy!
Answer:
see below
Step-by-step explanation:
This would be true if the lines are parallel. We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem
Answer:
the lines arent parallel
Step-by-step explanation:
the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent