Given :
Total amount, T = 10000 . ( It should not 1000 )
Annual rates of interest in both scheme is 8% and 9% .
After one year he got 875 rupees as interests from both.
To Find :
How much did he invest in each.
Solution :
Let, amount invested in 8% annual interest scheme is x.
So, amount in other scheme is 10000-x .
Now, sum of interest is equal to 875.
[tex]\dfrac{x\times r_1 \times 1}{100}+\dfrac{(10000-x)\times r_2\times 1}{100}=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500[/tex]
Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.
Hence, this is the required solution.
While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100
km/hr. She asks you if you know how fast you were driving. You suddenly realize that your
speedometer's "100" measures miles/hr, not km/hr. How fast were you going?
Answer:
Speeding at 160.934 km/hr
Step-by-step explanation:
1 mile = 1.609344 kilometers
1.609344 * 100 = 160.934 kilometers
There are 180 white lockers in the school. There are 3 white lockers for every 5 blue locker. How many lockers are in the school?
Answer:
There are 480 lockers in school.
Step-by-step explanation:
480
Step-by-step explanation:
180÷3=60
60x5=300
300+180=480
Solve for n, 4 x n = 7 x 16
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
Answer:
4n=112
n=112/4
n=28
Step-by-step explanation:
Please give me brainliest, if I helped you
How many solutions does the nonlinear system of equations graphed below
have?
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
A pair of supplementary angles have angle measures of angle a (5n + 4) and angle b (50 - n)
Answer:
yeah for sure
Step-by-step explanation:
in order to solve for x which trig function would be used cosine sine or tangent
Answer:
Cosine
Step-by-step explanation:
I took the test
In order to solve for x , we use the trigonometric function cosine
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC , where ∠B = 90°
Let the side AB be x
So , the adjacent side = x
The angle of the triangle ∠A is = 72°
So , θ = 72°
The hypotenuse AC = 8
And , by trigonometric relations , we get
cos θ = adjacent / hypotenuse
Substituting the values in the equations , we get
cos 72° = x / 8
Multiply by 8 on both sides , we get
x = cos 72° × 8
Now , cos 72° = 0.30901
Substituting the value of cos 72° , we get
x = 0.30901 × 8
x = 2.472
Hence , the value of x is determined by cosine function
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10. An electric scooter manufacturer estimates that the cost C in dollars) of producing x
scooters is given by C(x) = 600+ 0.05x + 0.0002x%. Find the production level, to the nearest
unit, that will minimize the average cost Č(x) per unit.
A. 1733 scooters
B.
1250 scooters
C. 600 scooters
D.
1500 scooters
Answer:
A. 1733 scooters
Step-by-step explanation:
To get x for minimum value of C bar, set derivative = 0
We Find our x.
C(x) = 600+ 0.05x + 0.0002x^2
We need average cos per unit
So divide by x both sides
C(x) / x = 600/x + 0.05x + 0.0002x
c(x)/c = Ç(x)
Therefore, Ç(x) = 600/x + 0.05x + 0.0002x
Now differentiate both side with x
dÇ(x)/dx = 600/x^2 + 0 + 0.0002
To find x for minimum Ç(x)
Set dÇ(x)/dx = 0 => -600/x^2 + 0.0002 = 0
=> x^2 = 600/0.0002
x^2 =3000000
x = √3000000
x = 1732.05
x = 1733
in the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?
The value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
What is the law of exponent?The exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: a^m×a^n = a^(m+n); a^m÷a^n = a^(m−n);
(am)ⁿ = a^mn.
Given an equation, (m^5/6) (m^1/6)^7 = m^x
Using the law of exponent, we get,
(m^5/6) (m^1/6)^7 = m^5/6*m^7/6
= m^(5/6+7/6)
= m^12/6
= m^2
Hence, the value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
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Round each decimal to the nearest tenth
4. 13.392
5. 27.149
6.8.84858
Help!!
Answer:
13.4
27.1
8.8
Step-by-step explanation:
hope that helps
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
3 4 (x−12)=12 whats the answer tehe
Answer:
x= 12 6/17
Step-by-step explanation:
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
Need help asap...,..........
Answer:
x2+ 16k+ 64= not factorable with rational numbers
x2+ 7x+ 10= (x+2)(x+5)
These are what I got from your picture, so don't quote me on this the picture wasn't the best.
Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinityAnswer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Answer:
(0,-4)
Step-by-step explanation:
I plugged in 0 for x.
3(0)-7y=28
-7y=28
y=-4
Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
PLZ HELP I've been working on this for half the day, and I can't stand it. Solve and show your work.
Answer:
(5, 50)Step-by-step explanation:
Equation for weight of toy cars:
y = 9x + 5Equation for weight of toy trucks:
y = 6x + 20Solving the system by substituting y:
9x + 5 = 6x + 209x - 6x = 20 - 53x = 15x = 15/3x = 5y = 9*5+5 = 50Intersection point is (5, 50)
See attached graph
what is the slope of the line that passes through the points (2,1) and (17,-17)
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices
Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
Tell what number you would add to each side of the inequality to solve the inequality.
f-2 ≤ 3
Add ___ to each side of the inequality
Answer: Add 2 to each side
We do this to undo the "minus 2" or "subtract 2" that is happening to the variable f. Addition is the opposite of subtraction.
Solving that inequality leads to [tex]f \le 5[/tex] meaning f can be 5 or smaller.
2(-6m - 3) =6(5m - 1) please show work what is m ?
Answer: m=0
Step-by-step explanation: simplify each individual expression first. The left side of the equation is equal to -12m-6, and the right side is equal to 30m-6. Then together, it equals to -12m-6=30m-6. The -6 cancel each other out. M=0
i need help no this
Answer:
a) 0.8
b) 0.075
c) 0.04
d) 3.3125
Step-by-step explanation:
To find the decimal of a fraction, just divide.
And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16
3 3/10 ÷ 1 4/7?
erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)
Answer:
2 1/10 would be your answer
Answer:
The answer is 21/10 or 2.1
On a roadtrip, the distance driven can be represented by
the following equation
y = 152
where x is the number of gallons of gas.
What does the 15 represent?
15 represent the car travled 15 miles / gallons.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
We have been given that -
y = 15 * x
Where y = the distance and
x = the number of gallons of gas to cover that distance.
A common unit of capacity in English-speaking countries, equal to four quarts, the U.S. standard gallon being equal to 231 cubic inches (3.7853 liters), and the British imperial gallon to 277.42 cubic inches (4.546 liters).
Consider the units:
y[miles] = 15[??] * x[gallons]
15[??] = y[miles] / x[gallons]
[??] = [miles] / [gallons]
So the units of the parameter 15 must be [miles / gallon] to convert the gallons to miles.
Therefore 15 represents the miles / gallon for the vehicle.
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Layla's dog eats 5/8 of a pound of food each day. Layla has a bag containing 3 3/4 pounds of
dog food. How many days will the bag feed Layla's dog?
Answer:
6 days
Step-by-step explanation:
You just divide 3/8 by 3 3/4. Hope this helps you!!!
how do you find the value of √a⁴ ??
(ill give brainliest)
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as [tex]a^{2}[/tex]
Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?
Answer:The scale factor is 2
Step-by-step explanation:
I took the test and I got it right
Answer:
Step-by-step explanation:
It’s 2