The monthly repayment for the given principal and rate of interest is $168.3.
Given that, a person requests an immediate bank overdraft of $2000.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here, P=$2000, T=12 months = 1 year and r=1%
Now, interest = (2000×1×1)/100
= 20
Total amount = 2020
So, monthly instalment = 2020/12
=$168.3
Therefore, the monthly repayment for the given principal and rate of interest is $168.3.
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Find the exact value of tan 5 π .
Answer:
0.274714403
Step by step explanation:
Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]
[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]
[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]
Wander for the questions
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9
Answer: [tex]2c^9[/tex]
Step-by-step explanation:
I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]
[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)
[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)
[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]
[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Common factors (terms that are in all expressions):
[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Simplify:
[tex]2c^9[/tex]
At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440
Answer:
B - 1100 tickets
Step-by-step explanation:
Fixed costs appear to be ...
$2,200 +1,500 = $3,700
The amount of cost that is not covered by concession income is ...
$3,700 -1500 = $2,200 . . . . remaining cost
The contribution margin per ticket is apparently ...
$5 -3 = $2
So, the number of tickets that must be sold to cover the remaining cost is ...
$2200/($2/ticket) = 1100 tickets
A city's population is increasing at a rate of 2% per year.
If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?
a.)
2.02 million
b.)
2.88 million
c.)
2.14 million
d.)
2.97 million
Based on the information the number of people that will there after 20 years is: d.) 2.97 million.
Using this formula
P(t) = Population ×(1+ rate)^t
Where:
Population=2 million
rate=2%
time=20 years
Let plug in the formula
P(t) = 2×(1+.02)^20
P(t) = 2×(1.02)^20
P(t) = 2×1.485947
P(t) = 2.97 million
Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.
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please help i only have a few minutes!!
what are the measures of 1 and 2?
Answer:
3;87
Step-by-step explanation:
Since they are complementary, they add up to 90°. This allows you to write the equation
[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]
The second angle measures then [tex]90-3 = 87[/tex]
Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?
Answer:3x⁵
Step-by-step explanation: is equivalent to 3x⁵
Determine the area of the yellow sector
Answer:
146 is the answer im positive
Solve the following proportions for v V/5=13/17
Can someone please help me
Answer: B
Step-by-step explanation: I beilieve it's B but, don't take my word.
Select the equation that has a = 112 as its solution.
a−114=35
a+358=434
416+a=523
a×38=214
Answer:
none
Step-by-step explanation:
a-114=35 ⇒ a= 149
a+358=434⇒ a=76
416+a=523⇒ a=107
ax38=214⇒ a=5.63
The equation that has 112 as it's solution is not existing in the options.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given are four linear equations.
Check the solution of each equation.
a - 114 = 35
Adding both sides of the equation with 114,
⇒ a = 35 + 114 = 149
a + 358 = 434
Subtracting both sides of the equation with 358,
⇒ a = 434 - 358 = 76
416 + a = 523
Subtracting both sides of the equation with 416,
a = 523 - 416 = 107
a × 38 = 214
Dividing both sides of the equation with 38,
a = 214/38 = 5.63
Hence none of the equations have 112 as it's solution.
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Simplify the following expression.
Answer:
-1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the area of a triangle with the Base of √10 and a height of √13
Answer:
5.70
Step-by-step explanation:
[tex] a = \frac{1}{2} bh \\ \frac{ \sqrt{10} \sqrt{13} }{2} \\ \frac{ \sqrt{130} }{2} [/tex]
[tex]a = \frac{11.401}{2} \\ = 5.70[/tex]
Answer:
5.70
Step-by-step explanation:
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50 POINTS!!!
Which is the graph of linear inequality x - 2y = -12?
2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Answer:
125
Step-by-step explanation:
If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?
Answer:
The the relationship is linear
Step-by-step explanation:
If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose a white marble at random and kept it. What is the probability that when Hosea now draws a marble it will also be white
Answer:
2/9
Step-by-step explanation:
28 marbles in all
"Half of the marbles are red."
28/2 = 14 red
"Half of the non-red marbles are white..."
14/2 = 7 white
"...and the rest are blue."
25 -14 -7 = 7 blue
"Todd chose a white marble at random... " -from the bag that has...
14 red 7 white 7 blue
"... and kept it."- so now the marbles left in the jar are...
14 red 6 white 7 blue
P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9
Write all the terms of the following X+y+z
Answer:
xyzStep-by-step explanation:
The terms are the addends in the sum:
x, y, z
is 0.75 degrees Celsius a negative temperature or positive temperature
Answer:
Positive
Step-by-step explanation:
Anything below 0 is negative. 0.75 > 0
A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?
First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.
Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!
The bus will travel 162.5 miles!
Hope this helps :)
Please help, I will give good rating and brainliest of possible!!
Thank you!!!!!!!!
Answer:
[tex]g(x)=x+8[/tex]
Step-by-step explanation:
Translating a function up is very simple, all you need to do here is add 8.
If you want to think of it logically,
[tex]f(x)=x[/tex]
the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning [tex]x+2[/tex]. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.
The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
1
,
2015
)
Focus:
(
1
,
8061
4
)
Axis of Symmetry:
x
=
1
Directrix:
y
=
8059
4
x
y
−
1
2019
0
2016
1
2015
2
2016
3
2019
Step-by-step explanation:
The number of gang-related homicides in 2051 will be 3,104.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
N(x) = x² -2x + 2016
N represents the number of gang-related homicides across the country x years after 2017.
Then the number of gang-related homicides be 2051 will be given as,
N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016
N(34) = 34² - 2(34) + 2016
N(34) = 1156 - 68 + 2016
N(34) = 3,104
The quantity of pack-related homicides in 2051 will be 3,104.
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Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answer:
Positive correlation.Step-by-step explanation:
From the graph we can see overall increasing trend.
It means there is a positive correlation.
The meaning of this is the more time you spend on study the better test score you get.
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise
hours decrease.
after a party 3/4 cake is leftover. Dennis eats 1/2 of the leftover cake. Which fraction model represents the amount of cake Dennis eats?
3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.
Answer:
20 inches
Step-by-step explanation:
If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.
[tex]y=\frac{2}{5}x[/tex]
The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.
Can anyone please help me answer this Math question ? As soon as possible !
The We-Make-It factory in the United States pays its 250 workers an average of $21 per hour, including benefits. The average number of work hours per employee in a year is 1,924. The owners of the factory are considering relocating overseas to a country where they can pay workers an average of $6 per hour, including benefits, to achieve the same production levels. Assuming that the company would hire the same number of workers for the same number of hours in a new location, how much could We-Make-It save in wages alone in the first year by moving to the proposed overseas location?
Assuming that this would not be destroying the lives of many in a community by locating overseas. The factory would save $2,886,000 in payroll wages during the first year of relocation.
Step-by-step explanation:
$15 saved in wages/working hour × 250 workers × 1924 hours per year/worker = $2,886,000
