Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
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.
h(2)=-2²+6(2) the question has to be 20 characters long so I'm just adding this
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
Choole a line m that passes through point, P, and is parallel to linel.
Answer:
c
Step-by-step explanation:
please answer these honestly and take as much time as you need. ty.
Answer:
1) 17/20 2)24 and 1/2 3)terminating 4) 0.8 5)1.8
Step-by-step explanation:
4) 4/5 times both sides by 2 then you get 8/10= 0.8
Answer:
first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.
Step-by-step explanation:
hope this helps :)
In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
Select the correct answer.
Find the value of g(7) for the function below.
g(x)= 7/8x-1/2
A. 49/8
B. 53/8
C. 60/7
D. 45/8
Answer:
D. 45/8
Step-by-step explanation:
The value of function g (7) is,
⇒ g(7) = 45/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
⇒ g(x) = 7/8x - 1/2
Now, Plug x = 7 in above equation,
⇒ g(x) = 7/8x - 1/2
⇒ g(7) = 7/8 (7) - 1/2
⇒ g(7) = 49/8 - 1/2
⇒ g(7) = 49/8 - 4/8
⇒ g(7) = 45/8
Thus, The value of function g (7) is,
⇒ g(7) = 45/8
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Difficult one for me: Geometry!
Answer:
what is your question here??
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
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 !
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
graph the following: y = -4x – 1.
This is a line portrayed in point-slope form.
First, put a point at (0, -1). This is your y-intercept.
Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).
Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).
Finally, draw a line connecting all your points.
Solve 7 - 2x = x - 14
Answer:
7 = x
Step-by-step explanation:
7 - 2x = x - 14
7 + 14 = x + 2x
21 = 3x
7 = x
Hope this helps!
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
What is 12% of 504 please let me know
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504
What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answer:
the third one
Step-by-step explanation:
Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
What is the domain for a continuous function
Answer: the third one
Step-by-step explanation: C
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
How is -9 + (-4) the same as -9 + 4?
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
Find the slope of the line. REMEMBER: Slopes must be simplified.
Answer: 2
Step-by-step explanation:
Answer:
ill help
Step-by-step explanation:
2( y+2) = 6x-7
please help
Answer:
2y + 4 = 6x - 7
2y = 6x - 11
2y + 6x = -11
Answer:
2y+4=6x-7
take 4 from both sides
2y=6x-3
divide each side by 2
y=6x-3
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Which illustration shows the correct construction of an angle bisector?
Option (3) will be the correct construction of the angle bisector.
Steps to construct an angle bisector are as followed,
Step - 1
Put the compass at the vertex of the angle.
Step - 2
Draw an arc cutting both the arcs at two distinct points.
Step - 3
Draw two arcs from these points intersecting at a point.
Step - 4
Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.
Therefore, Option (3) will be the correct option.
Learn more,
https://brainly.com/question/8607612
Can someone please answer this question. Identify the vocabulary word that matches the picture.
The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.
Answer:
170
Step-by-step explanation:
original value = 110
final value = 297
the increase is the difference between both values
increase = final value - original value = 297 - 110 = 187
percentage increase = (increase/original value)*100
= (187/110)*100
=170