Answer:
$1650 is the answer hope it helps
1) A museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Let x represent the amount borrowed at 7%, y represent the amount borrowed at 8.5%, and z represent the amount borrowed at 9.5%. Set up a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $169,750 and the amount borrowed at 8.5% is four times the amount borrowed at 9.5%. Then write the system in matrix form. You do not have to solve the system.
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.
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The answer is A but I couldn’t tell you why. If someone know, please let me know.
Answer:
a.0.311
Step-by-step explanation:
BRAINLIEST ANSWERthe IQR of the box plot is...
Answer:
IQR = 3
Step-by-step explanation:
Subtract your Q1 and Q3.
Q1 = 3
Q3 = 6
Sam saved $40 each month for 3 years. Then, he spent 65% of his savings on a cruise. How much of his savings was left? A. $420 B. $588 C. $1,092 D. $1,260
Answer:
$588 was left
Step-by-step explanation:
Since it was $40 for 3.5 years, and there are 12 months in a year, we do: (3*12+6)*40=168065%= 13/2013/20 * 1680Sam paid $10921680 - 1092 = 588Work out the area of the triangle.
Answer:
120
Step-by-step explanation:
10*24=240
240/2=120
Listen
If you draw a triangle with these measurements, which kind of triangle would it be?
Angles Sides
400
4 cm
50
7 cm
90°
8 cm
O acute scalene triangle
O acute isosceles triangle
O right equilateral triangle
Oright scalene triangle
Step-by-step explanation:
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, ∠a, ∠b and ∠c are all acute angles. Example 1: A triangle has angles 46°, 63° and 71°.
Read the passage below.
You will respond by writing an informational response paragraph.
You will find specific writing directions below the passage.
GOLD IN THE SKY
By Alan E. Nourse
Chapter 1. Trouble Times Two
The sun was glowing dull red as it slipped down behind the curving horizon of Mars, but Gregory Hunter was not able to see it.
There was no viewscreen in the ship's cabin; it was too tiny for that. Greg twisted around in the cockpit that had been built just big enough to hold him, and shifted his long legs against the brace-webbing, trying to get them comfortable.
He knew he was afraid ... but nobody else knew that, not even the captain waiting at the control board on the satellite, and in spite of the fear Greg Hunter would not have traded places at this moment with anyone else in the universe.
He had worked too hard and waited too long for this moment.
He heard the count-down monitor clicking in his ears, and his hands clenched into fists. How far from Mars would he be 10 minutes from now? He didn't know. Farther than any man had ever traveled before in the space of 10 minutes, he knew, and faster. How far and how fast would depend on him alone.
"All set, Greg?" It was the captain's voice in the earphones.
"All set, Captain."
"You understand the program?"
Greg nodded. "24 hours out, 24 hours back, 90 degrees to the ecliptic1, and all the acceleration2 I can stand both ways."
Greg grinned to himself. He thought of the months of conditioning he had gone through to prepare for this run ... the hours in the centrifuge to build up his tolerance to acceleration, the careful diet, the rigorous hours of physical conditioning. It was only one experiment, one tiny step in the work that could someday give men the stars, but to Gregory Hunter at this moment it was everything.
"Good luck, then." The captain cut off, and the blastoff buzzer sounded.
He was off. His heart hammered in his throat, and his eyes ached fiercely, but he paid no attention. His finger crept to the air-speed indicator, then to the cut-off switch. When the pressure became too great, when he began to black out, he would press it.
But not yet. It was speed they wanted; they had to know how much acceleration a man could take for how long and still survive, and now it was up to him to show them.
Fleetingly, he thought of Tom ... poor old stick-in-the-mud Tom, working away in his grubby little Mars-bound laboratory, watching bacteria grow. Tom could never have qualified for a job like this. Tom couldn't even go into free-fall for 10 minutes without getting sick all over the place. Greg felt a surge of pity for his brother, and then a twinge of malicious anticipation. Wait until Tom heard the reports on this run! It was all right to spend your time poking around with bottles and test tubes if you couldn't do anything else, but it took something special to pilot an XP ship for Project Star-Jump. And after this run was over, even Tom would have to admit it....
There was a lurch, and quite suddenly the enormous pressure was gone.
Something was wrong. He hadn't pushed the cut-off button, yet the ship's engines were suddenly silent. He jabbed at the power switch. Nothing happened. Then the side-jets sputted, and he was slammed sideways into the cot.
He snapped on the radio speaker. "Control ... can you hear me? Something's gone wrong out here...."
1The great circle that is the apparent path of the Sun.
2The process of moving faster or happening more quickly.
------------------------
Now that you have read the passage, you will write an informational response paragraph to answer the following question:
How does this story create a feeling of tension or conflict?
Read the directions carefully so you know what to include in your essay.
Begin your paragraph by rephrasing the question into a topic sentence. Be sure to include the title and the author.
Include 3 or more specific examples, details, or quotes from the passage to support your answers to the prompt.
End with a conclusion sentence to wrap up your ideas.
Proofread your work before submitting.
(100 points)
Answer:
nobotty nows
Step-by-step explanation:
What is the constant term -6+x4-x2
Answer:
-6
Step-by-step explanation:
A constant term is a term that does not have a variable attached, x4 and x2 are both terms that include a variable, so -6 is the constant term.
An ice cream stand uses the expression to determine the cost (in dollars) of an ice cream cone that has scoops of ice cream.2 + 0.5x2+0. 5x2, plus, 0, dot, 5, xxxx
How much does an ice cream cone with scoops cost?55
Answer:
answer: 0
Step-by-step explanation:
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(x+4)•(x-1)
——————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(x+4) • (x-1) = 0
7.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
simple form
x = 1
x = -4
Ms. jones is 50bls over weight. she decided to follow a diet to lose 50% of her excess weight by the first month, 20% by the end of second month and 25% more by the end of third month. how much of excess weight does she still has by the end of the third month
Answer:
5%
Step-by-step explanation:
You sum the lost excess weight: 50% + 20% + 25% = 95%. Meaning that she lost 95% of the excess weight. It remained just 5% to lose.
5(x - 2) + x = 6(x -4)
Answer:
No solutionStep-by-step explanation:
[tex]5(x - 2) + x = 6(x -4)[/tex]
[tex]6x-10=6x-24[/tex]
[tex]6x-10+10=6x-24+10[/tex]
[tex]6x=6x-14[/tex]
[tex]6x-6x=6x-14-6x[/tex]
[tex]0=-14[/tex]
10x-9y=24
y= x-2
find x and y
Answer:
x=6,y=4
Step-by-step explanation:
10x-9(x-2)=24
10x-9x+18=24
x=24-18
x=6
sub x
y=6-2
y=4
Answer:
x=6 y=4
Step-by-step explanation:
Substitute x-2 in for y: 10x-9(x-2)=24
Distribute: 10x-9x+18=24
Subtract 10x-9x=1x
Subtract 18 from both sides
x=6
Substitute 6 for x
y=6-2
y=4
x=6 y=4
1. A stack of boards is 21 inches high. Each board is 1¾ inches thick. How many boards are there
Answer:
12
Step-by-step explanation:
We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.
Help help please …thanksss
a man buys an article for $600 and sells it for $710/ what is the profit or loss
Answer:
110$ (profit)Step-by-step explanation:
a man buys an article for $600 and sells it for $710/ what is the profit or loss?
a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.
so
710 - 600 = 110$ (profit)
Answer:
Profit of 110
Step-by-step explanation:
As he sells it at a higher price, he makes a profit.
What Is the answer
Plz it's urgent
for the answer I think it is 2 cm
the answer : 10 cm :>
Help help math math math
Answer:
pushin p
Step-by-step explanation:
pushin p
good night lol
what ever..........
Answer:
night.....
Step-by-step explanation:
..............
How do I solve this and what is the answer to this?! Number 14.
Answer:
You'll have to give more information about the question or about what you need solved.
Step-by-step explanation:
Amina recently moved and got a new job. The quickest way to get to work is to take a
freeway that charges a toll. There are two options for paying the tolls.
Option A: No monthly fee, each trip on the tollway is $2.80.
Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40.
a. Write a linear model for Option A showing the total cost, C, in dollars, for x trips on
the tollway.
b. Write a linear model for Option B showing the total cost, C, in dollars, for x trips on
the tollway.
c. How many trips on the tollway are needed for Option B to be cheaper? Show your
work or explain how you found this number.
d. If Amina plans to travel to and from work 5 times a week which option, should she
purchase? (assume a month has 4 weeks) Show your work and explain in words why
you choose the option that you choose.
22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.
Since Amina recently moved and got a new job, and the quickest way to get to work is to take a freeway that charges a toll, and there are two options for paying the tolls:
Option A: No monthly fee, each trip on the tollway is $ 2.80.
Option B: $ 30 monthly fee, each trip on the tollway is half-priced at $ 1.40.
To determine how many trips on the tollway are needed for Option B to be cheaper; y, if Amina plans to travel to and from work 5 times a week, which option should she purchase; the following calculation must be performed:
Option A = 2.80X Option B = 30 + 1.40X 2.80 x 20 = 56 30 + 1.40 x 20 = 58 2.80 x 25 = 70 30 + 1.40 x 25 = 65 2.80 x 24 = 67.2 30 + 1.40 x 24 = 63.6 2.80 x 22 = 61.6 30 + 1.40 x 22 = 60.8
Therefore, 22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.
Learn more about maths in https://brainly.com/question/25806839
[tex]2 log_{3}(8) - 3 log_{3}(2) [/tex]
what is the answer to the question
We have: 2log₃(8) - 3log₃(2) = 2log₃(8) - log₃(2³)
= 2log₃(8) - log₃(8) = log₃(8)
= 1,892789261 ≈ 1,9
ok done. Thank to me :>
Answer:
~1.8928 or 3log_3 (2)
Step-by-step explanation:
change 8 to 2^3 and move to front
=2*3log_3 (2) -3log_3 (2)
=6log_3 (2) -3log_3 (2)
with subtraction
=3log_3 (2)
approx with calculator
~1.8928
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,700 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Answer:
1164.25
Step-by-step explanation:
given f(x)=-3x^2-7x ,find f(7)
Answer:
f(7) = -196
Step-by-step explanation:
f(7) = -3(7)² - 7(7)
-147 - 49
-196
A newborn child receives a $6000 gift toward a college education from her grandparents. How much will the $6000 be worth in 18 years if it is invested at 7.6% compounded quarterly?
Answer:
333.333333333
Step-by-step explanation:
you have to divide
The graph of the function f is shown below
Find f(0)
Answer:
2
Step-by-step explanation:
Write that down before Katie deletes it. There is no work to show, only read the graph.
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for Pi. Recall the formula S A = 4 pi r squared. A sphere with a radius of 9. 113.04 square units 226.08 square units 1,017.36 square units 4,069.44 square units
Answer:
Step-by-step explanation:
A = 4πr² = 4π9² = 324π units²
324(3.14) = 1,017.36 units²
Help me with this plzzzzzzzzz
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
Select the correct answer.
What is the factored form of this expression?
433 – 8x2 – 9x + 18
--
-
A. (2x − 3)(2x - 3)(x - 2)
B. (2x + 3) (2x − 3)(x + 2)
C. (2x + 3)(2x + 3)(x - 2)
D. (2x + 3)(2x − 3)(x - 2)
Answer:
Option D
Step-by-step explanation:
Use Factoring Methods
[tex]4x^3-8x^2-9x+18\\[/tex]
put bracket around each 2 terms as such [tex](4x^3-8x^2)+(-9x+18)[/tex]
And then factor each respective bracket. We'll start with the first one
[tex](4x^3-8x^2) = 4x^2(x-2)[/tex]
Then do the other, and try to get similar brackets as the first
[tex](-9x+18)=-9(x-2)[/tex]
Since they are both simiar, the equation is now: [tex](4x^2-9)(x-2)[/tex]
Now factor the first bracket again for final result
[tex]4x^2-9=(2x-3)(2x+3)[/tex]
Ans when you put it all together, you get: [tex](2x-3)(2x+3)(x-2)[/tex]
Correct answer is option D
what is the output of the function when the input is −3
It depends on the function. Please add a picture or type your function.
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76