Based on the information the amount borrowed at each rate is:
Z=9.5%=$350,000Y= 8.5%=$1,400,000X=7% =$250,000Let x=9.5%
Let 4x= 8.5%
Let 7% =$2,000,000 - 5x
Formulate
0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750
Collect like terms
0.095x + 0.34x + 140,000 - 0.35x = 169,750
Divide both side by 0.085x
0.085x = 29,750
x=29,750/0.085
x =$350,000
Amount borrowed at each rate:
Z=9.5% =$350,000
Y= 8.5% =$350,000×4
Y= 8.5% =$1,400,000
X=7% =$2,000,000 - 5($350,000)
X=7%=$2,000,000-$1,750,000
X=7% =$250,000
Matrix form
Z $350,000
Y $1,400,000
X $250,000
Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.
Learn more about amount borrowed here:https://brainly.com/question/24576997
Use the distributive property to write an experssion that is equalent to 7(3x-4)
Answer:
21x-28
Step-by-step explanation:
the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.
Answer:
21x-28
Step-by-step explanation:
distribute the 7 to the 3x & the -4
you get 21x-28
Help please ! Sishsoshsishsjdhshishd
What is the value of (-5)2?
Answer:
-10
Step-by-step explanation:
when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !
Example: (3)2=6 6(6)=36
in our case it is (-5)2 So was ist -5 x 2? -10
hope this helped!
for some extra practice to check your knowledge, what is (-3+-2)2 ?
Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.5x - 4 = 0
a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: https://brainly.com/question/25841119
Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.
Answer:
the length of rectangle is 27 in
(3x(3)+9X(2)+27X)/3X
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
A metric drawing scale of 1:100 typically depicts units in
Answer:
This usual depicts units in centi-metre
Usually Centi-(and the unit you have)
Step-by-step explanation:
Because it is 1 in 100
100 is what centi means, so centi-metre
Like centipede, an insect with 100 legs
1:100 means 1 in 100
or one centi-metre
Hope this helps!
Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=
물
...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)
Using the binomial distribution, it is found that:
a)
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].Item a:
[tex]E(X) = np = 40(0.3) = 12[/tex]
[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]
Hence:
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.Item b:
The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, one success, hence [tex]q = 1[/tex] and:
[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]
They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=
Answer:
y=48
Step-by-step explanation:
180-135=55-7=y=48
The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.
Answer:
The bigger number is 13 and the smaller number is 5
What are the measures of the other three angles formed by the intersection
Answer:
angle 1 130°
angle 2 50°
angle 3 130°
Step-by-step explanation:
180°-50°=130°, use one of the road as the straight line,
which is 180° so angle 1 is 130°
which means angle 2 is also 50° because 180°-130° is 50°
and angle 3 is 130° because 180°-50°=130°
Hope this helps :)
Can someone please explain step by step on how to do times fractions? Like for an a example!
4/5 • 2/3 ?
Of course!
First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.
Next, multiply both numerators together straight across, then denominators.
4·2= 8
5·3= 15
Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.
Answer: 8 / 15
You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss a payment. What are your fees plus interest for the month?
Answer:
multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,
Step-by-step explanation:
Help me solve this please
Step-by-step explanation:
8x + 4y <= 136
2x + y <= 34
trying (15, 9) :
2x + 7y <= 70
2×15 + 7×9 <= 70
30 + 63 <= 70
93 <= 70
that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.
trying (0, 10) :
2×0 + 7×10 <= 70
70 <= 70
that is true.
2×0 + 10 <= 34
10 <= 34
also true.
so, (0, 10) is the correct answer option.
Solve the inequality. Graph the solution.
−16>x÷2
Answer:
-32>x
Step-by-step explanation:
-16>x÷2
-16×2>x
-32>x
Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?
Answer:
$15,589
Step-by-step explanation:
Since it deteriorated 15%, it is now worth 85% of the original.
18340 * .85 = 15589
(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?
Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
answer both pls help fast
Answer:
Answers given in the photo
Select all statements that are true.
All points on the same plane are congruent.
All points on the same plane are congruent.
All segments on the same plane are congruent.
All segments on the same plane are congruent.
All angle on the same plane are congruent.
All angle on the same plane are congruent.
All triangles on the same plane are congruent.
Congruence means equivalence in comparison.
All points on the same plane are congruent. (True)
A point is an exact location .
It can be anywhere on the plane. It has one dimension. The point is always the same.All segments on the same plane are congruent. (False)
A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.Without knowing the lengths of different segments these cannot be termed as congruent.
All angle on the same plane are congruent. (False)
Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.All triangles on the same plane are congruent. (False)
Two triangles are congruent if they have
same lengths of their corresponding sidessame measurements of the three angles of both triangles.The triangles congruence can also be understood by
https://brainly.com/question/1675117
The angles congruence can also be understood by
https://brainly.com/question/10128662
The line segments congruency can also be understood by the following link
https://brainly.com/question/82457
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)
Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees
Answer:
x=85 degrees, y=45 degrees
Step-by-step explanation:
solve for x first:
because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.
x+95=180 so solving for x would result in x=85 degrees (180-95)
then to solve for y:
the total sum of the interior angles of a triangle is 180 degrees.
so if you know x and the given 50, then to solve for y:
50+85(angle x)+y=180
then solve for y to get 45 degrees (180-(50+85))
Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Answer:
SSS, congruent.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help me solve this
Answer:
Solve what?
Step-by-step explanation:
You didn't put the question.
Kenya uses mental math to find the sum of 235 and 23. She uses 235,20 and one other number. What is the missing number
Answer:
Step-by-step explanation:
She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3
it's C. y = 1/2x + 2
Answer: what are you asking im lost
Step-by-step explanation:
9.
10. Find two numbers such that five times the larger number plus twice the smaller is 70, and four
times the larger minus twice the smaller is 38.
The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.
Answer:
answer is 347.6
Step-by-step explanation:
21/7300= 347.6
Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?