Answer:
D. $150 in 4%, $850 in 6%
Step-by-step explanation:
1. The amount available to invest in the accounts, A = $1,000
The amount of average interest rate needed = 5.7 percent = 0.057
The interest paid by one of the accounts, account 1, I₁ = 4 percent = 0.04
The interest paid by the other account, account 2, I₂ = 6 percent = 0.06
Let 'x' represent the amount invested in account 1 that pays 4% and let 'y' represent the amount invested in account 2, that pays 6% we get;
x + y = 1,000...(1)
0.04·x + 0.06·y = 0.057 × 1,000 = 57
∴ 0.04·x + 0.06·y = 57...(2)
Making 'y' the subject of equation (1) and (2), we have;
For equation (1), y = 1,000 - x...(3)
For equation (2), y = 950 - (2/3)·x...(4)
Subtract equation (4) from equation (3) gives;
y - y = 1,000 - x - (950 - (2/3)·x)
0 = 1,000 - 950 - x + (2/3)·x
0 = 50 - (1/3)·x
(1/3)·x = 50
x = 3 × 50 = 150
x = 150
The amount invested in the 4% account, x = $150
From equation (3), we have;
y = 1,000 - x
∴ y = 1,000 - 150 = 850
y = 850
The amount invested in the 6% account, y = $850.
Therefore;
$150 should be invested in the account that pays 4% while $850 should be invested in the account that pays 6%.
Answer:
$150 in 4%, $850 in 6%
Step-by-step explanation:
just took the test!
Place an X in the table to match the diameter of each circle with its approximate area.
Use 3.14 for 11.
7
314 m?
706.5 m?
1,256 m
2,122.64 m2
30 m
40 m
52 m
Answer:
bjbjy
Step-by-step explanation:
One of the base angles in an isosceles triangle is 75 degrees, then its exterior angle is
A. 105 degrees
B.75 degrees
C. 285 degrees
D, 30 degrees
Answer:
105 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
You just gotta subtract your given (in your case 75) from 180 to get your answer my guy
What is the area of the trapezoid in the coordinate plane? Show your work.
NEED HELP PLZZZ
Answer:
A=36 square units
Step-by-step explanation:
The order of numbers is not important in ____________ of rational numbers.
Answer:
addition?
Step-by-step explanation:
6c + 7c + 5y + 2c + 7y
Thank u ahead of time:)
Answer:
15c+12y
Step-by-step explanation:
6c + 7c + 5y + 2c + 7y
13c+2c +12y
15c+12y
have a great day!
Solve for x in the diagram below.
(2x + 45)
x°
In order to select new board members, the French club held an election. 30% of the 20 members of the club voted. How many members voted?
Answer:
6
Step-by-step explanation:
30%*20 = 6
Two functions are shown. f(x) = 3x+1 g(x) =-3/2X-7 What is the value of x when f(x) = g(x)
Answer:
-1.778
Step-by-step explanation:
The two lines cross at the point (-1.778,-4.333), but the x value is -1.778
Hope this helps
The scatter plot below shows the relationship between two variables, x and y. Which line best fits the data? У 30 25 20 15 10 5 У 30 25 20 15 10 5- 0 2 3 5 x 1 2 3 4 5 X y 30- 25 20- 15- у 30 25 20- 15 10- 5- 0 0 10- 5- 0 0 1 2 x 3 4 5 5 4 1 2 3
The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c.
What is a scatterplot?Since the options are unclear, I will try to help you as much as possible. A scatter plot is an arrangement in which one variable is plotted on the vertical axis and another is plotted on the horizontal axis.
The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c. Using this relation, we can establish the equation of the scatter plot.
Learn more about scatterplot: https://brainly.com/question/15289741?
There is just enough water in the container to exactly fill the
hemisphere. The container is held so that the point of the cone
is down and the altitude of the cone is exactly vertical. Find the
height of the water in the cone. Round to the nearest tenth.
Answer: hello your question is Vague hence I will provide a general solution. in which you can input your values into and get your answer.
answer = h = 3 ( V / π r^2 )
Step-by-step explanation:
The volume of a cone is exactly the volume of a hemisphere, given that the radius and height are the same .
The height of the water in the cone = height of the hemisphere / height of cone ( given that the water completely fills the hemisphere )
∴ h = 3 ( V / π r^2 )
solve 3x by 4 - 2x+5 by 3 = 5 by 2
Answer:
50
Step-by-step explanation:
The given equation is,
→ 3x/4 - (2x + 5)/3 = 5/2
→ 3x × 3 - 4(2x +5)/12 = 5/2
→ 9x - 8x -20/12 = 5/2
→ (x - 20)/12 = 5/2
→ x - 20 / 6 = 5
→ x - 20 = 30
→ x = 20 + 30
→ x = 50
• Hence the value of x is 50 .Answer:
x=50
Step-by-step explanation:
Figure B is a scale image of Figure A, as shown. What is the scale factor applied to
Figure A to produce Figure B?
What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in
Answer:
230 in.²
Step-by-step explanation:
20 · 10 = 200 in.²
5 · 6 = 30 in.²
200 in.² + 30 in.²
Answer:
230 sq in
Step-by-step explanation:
You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)
20 x 16 = 320
15 x 6 = 90
320 - 90 = 230
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answer:
Answer is 13.5
Step-by-step explanation:
13.5 - 12 = 1.5
1.5 X 12 = 18
Hey guys I need help please show your work worth 20 points
-8x-14>2
-
Answer:
x > - 2
Step-by-step explanation:
- 8x - 14 > 2
- 8x - 14 + 14 > 2 + 14
- 8x > 16
- 8x ÷ - 8 > 16 ÷ - 8
x > - 2
-y = 7x+5 written in standard form
Answer:
7x+y=-5
Step-by-step explanation:
-y=7x+5
7x+y=-5
A random sample of internet subscribers from the west coast of the United States was asked if they were
satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same
question. Here are the results:
A market researcher wants to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to east coast subscibers who
responded "yes"?
You may round your answer to the nearest hundredth.
Answer:
19.2
Step-by-step explanation:
khan
The expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to first calculate the expected frequencies for each cell under the assumption that the null hypothesis of homogeneity is true.
The null hypothesis of homogeneity assumes that the proportion of internet subscribers satisfied with their internet speeds is the same on both the east and west coasts of the United States.
To calculate the expected frequencies, we can use the formula:
Expected frequency = (row total x column total) / grand total
For the cell corresponding to east coast subscribers who responded "yes":
Expected frequency = (row total for east coast x column total for "yes") / grand total
= (80 x 48) / 200
= 19.2
Therefore, the expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ2
Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information
Answer: C
Step-by-step explanation: not enough information
Keisha buys 2/3 dozen bagels for $4.80.
Answer:
Im sorry but your going to have to provide more information for me to answer my G!
Step-by-step explanation:
PLEASE HELP ASAP!!
What is the vertex of the graph and is the vertex a maximum or minimum?
А. (1, 3); maximum
B. (-1,-1); minimum
C. (3, 1); maximum
D. (0, 2); minimum
(A)
Step-by-step explanation:
The vertex is located at (1, 3) and it's a maximum.
Let’s figure out one more adjustment for the butterscotch chip cookies. The butterscotch chip cookie recipe calls for 12 ounces of chips for every 2 cups of flour. How many ounces of chips are needed if 3 cups of flour are added?
Remember to keep your units consistent.
I believe it would 18 ounces of chips for 3 cups of flour. If you take half of 12 ounces then you get 6 ounces per cup of flour. Adding 6 ounces to the 12 would get us the total of the 18 ounces.
list the factors of 15
Answer: 1, 3, 5, 15.
Step-by-step explanation: Factors of 15: 1, 3, 5, 15
Regina has 24 inches of ribbon for a craft project. Tommy has 2 yards of ribbon. Choose the true statement below. (1 yard = 3 feet; 1 foot = 12 inches)
Regina has 22 feet more ribbon than Tommy.
Regina has 15 feet more ribbon than Tommy.
Regina has 4 feet more ribbon than Tommy.
Tommy has 22 feet more ribbon than Regina.
Tommy has 15 feet more ribbon than Regina.
Tommy has 4 feet more ribbon than Regina. plz answer quick i give extra points and brainlyest
Answer:
f
Step-by-step explanation:
because 24 inches is 2 feet and 2 yards is is 6 feet
Closest to the shaded area
Answer:
B) 30.9
Step-by-step explanation:
So, because the radius is 6, we know the diameter is 12, meaning we know each side is 12, so the total area of the square is 144.
To find the area of a square we should use pi(r) ^2 which is pi(6) ^2 which is 113.09. to find the area of the shaded are we would subtract these. 144- 113.09 this gets us 30.91, this is closest to B) 30.9
In a sale, normal prices are rediced by 10% Nathalie bought a pair of shoes in a sale for 54
Answer:
they take 5 dollars and 40 cents off of it so it would be $48.60
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
the diameter is a circle is 16in. Find it’s circumference in terms of π.
C= ________in
According to the question,
Diameter of circle = 16 inWe are asked to calculate it’s circumference in terms of π.
★ Circumference of circle = 2πr
___________________________________
Let us first calculate the radius of the circle.
→ Diameter = 2 × Radius
→ 16 in = 2r
→ r = 16 in ÷ 2
→ r = 8 in
___________________________________
Substituting values in the formula of circumference,
→ C = 2πr
→ C = (2 × π × 8) in
→ C = 16π in
Therefore, 16π inches is the required answer.
what is the sum of the integers between the square root of 37 and the square root of 98?
There is a photo. No explanation needed just answer thank you
please helps?!?!?!?!?!?!?!?!?!
Answer:
[tex]47x^3\sqrt{5x}[/tex]
Step-by-step explanation:
The objective is to combine the terms to make one radical, so therefore we know that we will have to take a [tex]\sqrt{5}[/tex] out of the second radical [tex]\sqrt{180}[/tex].
If we divide 180 by 5, we will get 36, so now we have
[tex]\sqrt{180}=\sqrt{5}[/tex]×[tex]\sqrt{36}[/tex]
[tex]\sqrt{36}[/tex] can be simplied into just 6.
So now the expression becomes
[tex]-\sqrt{5x^7}+8x^2*6 \sqrt{5x^3}[/tex]
Then we can further simplify by moving the [tex]x^{2}[/tex] into the radical to get two common terms with [tex]\sqrt{5x^7}[/tex].
[tex]x^{2} =\sqrt{x^4}[/tex], so we now have
[tex]-\sqrt{5x^7}+ 8\sqrt{x^4} *6 \sqrt{5x^3}[/tex]
So then we can combine the two radicals to get the expression to
[tex]-\sqrt{5x^7}+48\sqrt{5x^7}[/tex]
We now see that we have two terms with a common radical, and coefficients of -1, and 48.
That allows us to simplify further to
[tex]47\sqrt{5x^7}[/tex]
Here, we can take out [tex]\sqrt{x^6}[/tex], which is [tex]x^3[/tex], and get the final simplied form to be
[tex]47x^3\sqrt{5x}[/tex]
Hope this helped.