Answer:
Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.
Step-by-step explanation:
Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:
80,000 / 4 = 20,000
20,000 x 0.06 = 1,200
4,700 - 1,200 = 3,500
60,000 x 0.07 + 0 x 0.05 = 4,200
50,000 x 0.07 + 10,000 x 0.05 = 4,000
40,000 x 0.07 + 20,000 x 0.05 = 3,800
30,000 x 0.07 + 20,000 x 0.05 = 3,600
25,000 x 0.07 + 35,000 x 0.05 = 3,500
Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.
Answer:
76
2 real solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/ImaginaryStep-by-step explanation:
Step 1: Define
x² - 6x - 10 = 0
Step 2: Identify Variables
Compare quadratic.
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
Step 3: Find Discriminant
Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents: 36 - 4(1)(-10)[Discriminant] Multiply: 36 + 40[Discriminant] Add: 76This tells us that our quadratic has 2 real solutions.
i need help with these two due today plssss help me
Answer:
10. 264
11. 13
Step-by-step explanation:
10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.
66+66+66+66= 264
I added 4 times for each side we have and we get the perimeter of 264
11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.
65 divided by 5 is 13
Area divided by Length is Width
Answer:
#10= 264
#11= 13
Step-by-step explanation:
#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264
#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.
Which one is it??????
What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+
Answer: -4
A P E X
Step-by-step explanation:
Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
a. $1,617
b. $4,983
Step-by-step explanation:
a. The account suffered a decrease of 24.5% of the original sum of $6,600.
This amount in cash is:
= 24.5% * 6,600
= $1,617
b. If the account reduced by $1,617, the balance left is:
= 6,600 - 1,617
= $4,983
HELP I NEED HELP ASAP
Answer:
constant... I think... sorry if it's wrong... just trying to help ;-;
Step-by-step explanation:
Hope this helped! Good luck! :)
Answer:
linear
Step-by-step explanation:
if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation
can someone help me with this please?!
the choose options for both are: less than, equal to or greater than
Answer:
The rate of function 1 is greater than function 2, the y intercept of function 1 is 3
Step-by-step explanation:
9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!
Answer:
x = 11.5
Step-by-step explanation:
9 (x - 2) = 7x + 5
9x - 18 = 7x + 5
+18 +18
9x = 7x + 23
-7x - 7x
2x = 23
--- ---
2 2
x = 11.5
y−6=4(x+5) what is the slope
Answer:
4 is the slope
Step-by-step explanation:
y−6=4(x+5)
This equation is in point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
4 is the slope and ( -5,6) is a point on the line
The mid point of ab is m(-2,-6) if the coordinates of a are (-1,4) what are the coordinates of B
Answer:
i hate thsi coordinate chapter its very difficult chapter u know
Expand (5x – 3y + 2) using identity.
Answer:
[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]
Step-by-step explanation:
We need to expand (5x – 3y + 2)² using identity.
Using identity,
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]
We have, a = 5x, b = -3y and c = 2
So,
[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]
So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].
Find the distance between the points.
(-1,-7) and (3, - 7)
Pls help ASAP!! 15 points?
Answer:
4 gte g
Step-by-step explanation:
Answer:
g < 4
Step-by-step explanation:
−12<−3g
Step 1: Flip the equation.
−3g>−12
Step 2: Divide both sides by -3.
−3g
−3
>
−12
−3
g < 4
Would it be a b c or s please answer fast
Answer:
Step-by-step explanation:
it is your first choice
-4.4+3.6[tex]\geq[/tex]1.6x
-0.5[tex]\geq[/tex]x
what this answer
954328- 864597
Answer:
Answer is 89,731
Step-by-step explanation:
I hope it's helpful!
Answer:
89731
Step-by-step explanation:
954328 - 864597
= 89731
Hope this helps :)
Let me know if there is any mistake!!
Need help
What is the equation of a line that passes through the point (0, -2) and has a slope of -3?
y = -2
y = -2x - 3
y = -3x - 2
y = -3
Answer:
y = -3x - 2
Step-by-step explanation:
Since the line passes through the point (0, -2), -2 is the y-intercept
Using the slope-intercept form for a line we have
y = -3x - 2
can someone answer this for me please and thank you !!
Answer:
gfcdxgstez5xdyrfctugv-
_=+86545
Step-b57645745y-step explanation:
uygtf57d4ftv
A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school
Answer:
360
Step-by-step explanation:
Volume of cube is s^3
Volume of a rectangular prism is BH, OR LWH
Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
definición de variable independiente y variable dependiente
Answer:
hhhhs jjeguuw iiwhrbmeo
what is the inequality of -5x + 19 ≥ 9
Answer:
x<=2
Step-by-step explanation:
-5x+19>=9
-5x>=9-19
-5x>=-10
5x>=10
x>=10/5
x>=2
x<=2
Find the missing exponent.
?
916 x 918
x 918 = 9
Answer:
um i think its 6
Step-by-step explanation:sorry if im wrong
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.
Answer:
Simple, Her Pentagon is not straight
Step-by-step explanation:
Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.
Hope this helps ^
We have that the correct Pentagon should have
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightSymmetry
This can be defined as an exact correspondence between different part of a system .
Therefore it can be said that Carla's Pentagon lacks Symmetry
Where a
Pentagon
is defined as a a shape with five sides and five angles
In this sense the is absolutely nothing with Carla's Pentagon
But if Carla is going for a pentagon with equal sides and and, Then
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightFor more information on this visit
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HELP!!
A.x=6
B.x=24
C.x=12
D.x=12 sqr root 3
E.x=36
race borrows $135,000 at a yearly simple interest rate of 4.5%. How much less would she pay if she pays the loan off in 15 years rather than in 30 years?
Answer:
$226,125
Step-by-step explanation:
the annual percentage rate is $6,075 (135,000×.045)
multiply $6,075 for 15 years = $91,125
add $135,000 (amount borrowed) and $91,125 (amount of interest) = $226,125
She would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.
What is Simple interest?To calculate simple interest, multiply the loan principal by the interest rate, then by the loan's period. Borrowers can get a rough estimate of the cost of borrowing by calculating simple interest. Simple interest loans are frequently used for auto loans and short-term personal loans.
As per the given data:
Money borrowed by race = $135,000
Simple interest rate = 4.5%
Principal amount (P) = $135,000
Interest paid = [tex]\frac{P \times R \times T}{100}[/tex] {T is time in years}
Interest paid when loan in paid in 15 years:
= [tex]\frac{135000 \times 4.5 \times 15}{100}[/tex] = $91,125
Interest paid when loan in paid in 30 years:
= [tex]\frac{135000 \times 4.5 \times 30}{100}[/tex] = $182,250
Amount she pays less = $182,250 - $91,125 = $91,125
Hence, she would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.
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How far is the portion of her route from A to D? Round to the nearest whole number. Explain. I NEED IT BY TONIGHT SO PLSS SOMEONE HELP ME!
9514 1404 393
Answer:
A to D is about 2087 ft
Step-by-step explanation:
For the portion of the path of interest, the sine and cosine relations apply.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
AB is the adjacent side to the angle marked 33°, with hypotenuse 975 ft.
cos(33°) = AB/(975 ft)
AB = (975 ft)cos(33°) ≈ 817.70 ft
BC is the opposite side in the same triangle.
sin(33°) = BC/(975 ft)
BC = (975 ft)sin(33°) ≈ 531.02 ft
CD is the hypotenuse of the right triangle BCD. The side BC that we know is opposite the given angle, so the sine relation applies.
sin(46°) = BC/CD
CD = BC/sin(46°)
CD = (531.02 ft)/sin(46°) ≈ 738.21 ft
__
Now we know the segments of the path of interest:
A–D = AB +BC +CD
A–D = 817.70 ft + 531.02 ft + 738.21 ft = 2086.93 ft
A–D ≈ 2087 ft
_____
Additional comments
The attachment shows all of the segments computed working counterclockwise from A. The angles in triangle DEF are computed using the Law of Sines from sides DF and DE and angle DEF. Segments EG and GH are computed using the Law of Cosines.
When we get to points F, G, H, we find that there is some inconsistency with the locations that would be computed working clockwise using AB and angle BFA. This inconsistency shows up in an error in the 119° angle in the attached figure.
This means that segments on the back side of the route, along path EFGHA, will vary somewhat depending on how they're computed.
We assume that points B, C, F, G are collinear.
133=7(1+2x) solve
Answer ASAP please
Answer:
x=9
Step-by-step explanation:
Step-by-step explanation:
133=7+14x
133-7=14x
14x=133-4
14x=129
14x=129
14 14
x=129
14
Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?
EF
DC
Line segment A B
Line G H
A secant crosses the circle without passing through the center
The secant line is (c) line segment AB
How to determine the secant lineFrom the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle
This indicates that line segment AB is a secant
Given that the center of the circle is point D
Hence, the secant line is (c) line segment AB
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Answer:
D. Line GH
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10
Answer:
A
Step-by-step explanation:
Because 29+39=68
68<69
therefore this would not make a triangle!
Answer:
A.
Step-by-step explanation:
29 + 39 = 68 which is less than 69 so A is not a triangle.
An algebraic expression is given. Use the expression to answer the following questions,
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
X+ 3+ 7x
The
Answer:
A. 2
B.1
C.3
D. (should be x and 7x but that isnt an answer choice so) no
Step-by-step explanation:
For given expression x + 3 + 7x,
a) the number of terms in an algebraic expression = 2
b) the numerical coefficient of the first term = 1
c) the constant term = 3
d) the like terms are x and 7x
What is an algebraic expression?"It is a mathematical expression that consists of variables, numbers and operations."
What is constant?"It is a value or number that never changes in expression."
What are like terms?"The like terms are defined as the terms that contain the same variable which is raised to the same power."
For given example,
We have been given an expression x + 3 + 7x
a) x + 3 + 7x = 3 + (1 + 7)x
= 3 + 8x
So, the number of terms in the algebraic expression = 2
b) for given expression x + 3 + 7x,
the first term is x
x = (1) × (x)
the numerical coefficient of the first term is 1.
c) for given expression x + 3 + 7x,
the constant term = 3
d) for given expression x + 3 + 7x,
the like terms are x and 7x
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