Answer:
Step-by-step explanation:
principal=rs 9450
time=5 years
rate=6%
Interest=PTR/100
=9450*5*6/100
=283500/100
=rs 2835
Total amount=Interest+principal
=rs 2835+rs 9450
=rs12285
Which equation in point -slope form describes the line that passes through the point (4,-5) and is perpendicular to the line represented by -7x+2y=14.
Answer:
[tex]y+5=-\frac{2}{7} (x-4)[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where the given point is [tex](x_1,y_1)[/tex] and m is the slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3)1) Determine the slope (m)
[tex]-7x+2y=14[/tex]
First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.
Add 7x to both sides to isolate 2y
[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]
Divide both sides by 2 to isolate y
[tex]y=\frac{7}{2} x+7[/tex]
Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].
[tex]m=-\frac{2}{7}[/tex]
2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation
[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]
Plug the point into the equation
[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]
I hope this helps!
To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Answer:
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
Step-by-step explanation:
Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.
To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Solution -
By the given information, the figure becomes -
From the Graph, we can see that,
The side MP = 2.1
The side MG = 9.6
And By using Pythagoreas Theorem, we get
(PG)² = (MG)² + (MP)²
⇒(PG)² = (9.6)² + (2.1)²
⇒(PG)² = 92.16 + 4.41
⇒(PG)² = 96.57
⇒PG = √96.57
⇒PG = 9.827
∴ we get
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
Quantitative reasoning l week 2 discussion What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.
Answer:b
Step-by-step explanation:
During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.
Answer:
1800
Step-by-step explanation:
Let y represent the normal selling price
y-y×25/100= 1350
y-y/4= 1350
4y-y/4= 1350
3y/4 = 1350
Cross multiply both sides
3y= 1350×4
3y= 5400
Divide both sides by the coefficient of y whichj is 3
3y/3= 5400/3
y= 1800
Hence the normal selling price is 1800
what is the graph of x+y=8 and y=x+6
Answer:
(1, 7)
Step-by-step explanation:
By looking at the graph, the solution is (1, 7).
i need to finish this usa test prep now plz help
Answer:
R = 101
S = 131
Step-by-step explanation:
First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.
T=180-128
T=52
You also know that all angles in a triangle equal to 180
Use that to find angle S
180 = R+S+T
180 = 79 + S + 52
180 - 79 - 52 = S
49 = S, exterior S = 180-49 = 131
Exterior R = 180 - 79 = 101
Now add all your exteriors
Determine the zero solution
f(x)=3x^(2)+5x-12
Answer:
x= -3 or 4/3
Step-by-step explanation:
3x²+5x-12 =0
3x²+9x-4x-12=0
3x(x+3) -4(x+3) =0
(3x-4)(x+3)=0
x=-3 or 4/3
127/4 + 62/3 × 24/6 solve this fraction by BODMAS
Answer:
The correct solution is "114.39".
Step-by-step explanation:
The given expression is:
⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]
On solving the above expression with the help of BODMAS rule, we get
Firstly we will have to apply division, we get
= [tex]31.75+20.66\times 4[/tex]
Now we will have to apply multiplication, we get
= [tex]31.75+82.64[/tex]
On adding, we get
= [tex]114.39[/tex]
Hi guys I need help this is exterior angles of a triangle so plz do me a favor 3x+20x+120
Answer:3x+140
Step-by-step explanation:
Answer:
23x+120
Step-by-step explanation:
3x+20x+120
Combine Like Terms:
=3x+20x+120
=(3x+20x)+(120)
=23x+120
pls help me! i’m really confuse on how to tackle this problem (no links)
Answer:
Step-by-step explanation:
www.564bdyjkthl
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
No files!!!
Will give brainliest and please don’t guess
Answer:
i think its 54. i might be incorrect.
Step-by-step explanation:
Answer:
54º
Step-by-step explanation:
This really cannot be determined because the combined angle is not marked as 90º
let's assume it is 90º
(7x + 12) +(2x + 24) = 90
Combine like terms
9x + 36 = 90
Subtract 36 from both sides
9x = 54
Divide both sides by 9
x = 6
-----------------------
7(6) + 12 = 54º
2(6) + 24 = 36º
54º is the larger angle
Find the circumference of this circle
using 3 for T.
C [?]
34
C = id
HELPPPP
Step-by-step explanation:
C = 3 × 34
C = 102
Usually it's
C = 3.14 × 34
C = 106.76
This is a more accurate answer but with your question specifically, the answer above is more correct.
At the pottery class, Lily made a clay mug measuring 6 inches
. She also made a
flower pot, which was 11 times taller than the mug. How tall was the pot?
Answer:
66 pots
Step-by-step explanation:
The height of flower pot is 66 inches
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Measurement of mug = 6 inches
as, the slower pot is 11 times taller than the mug
=11 * 6
=66 inches.
Hence, the height of flower pot is 66 inches
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Please help me with this question!
Answer:
n=7
Step-by-step explanation:
If they are both increased by 7, you will have 12/18, which is equal to 2/3
Help is all I need..
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
Malla runs 5 miles in thour, How many miles does she run in half an hour? How
many miles does she run in 2 and a half hours? *
Answer:
2 and a half miles.....
Step-by-step explanation: I think......
You flip a coin three times in a row. What is the probability you will get three tails?
Answer:
50/50
Step-by-step explanation:
Answer:
1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.
Which of the following is a subset of the set E which contains all even integers?
A) {4, 10, 22)
B) {2,4,5,8,10}
C) {1,2,3,4}
D) n(E) = 6
Answer:
A
Step-by-step explanation:
the numbers available in the set is {4,10,22} all are even numbers only.
A rectangular is 11 inches long and 8 inches wide. Find its area
Answer:
The area is 88 square inches.
Step-by-step explanation:
To get the area of a rectangle, you multiply the length and the width.
The length of this rectangle is 11 inches and the width is 8 inches.
11x8=88
Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.
Example:
11x5=55
11x2=22
HELP ME THANK U π×π
Applying the Pythagorean theorem, solve this triangle.
Answer:
20
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21^2 + b^2 = 29^2
441+b^2 =841
Subtract 441 from each side
441 +b^2 -441 = 841-441
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b =20
Helpppppppppppppppppppp
Answer:
930 in^2
Step-by-step explanation:
Area of a parallelogram is Base x Height.
so, 30 x 31 = 930.
Answer: 930 in ^2
Step-by-step explanation:
Area is width x height.
Width = 30
Height = 31
30x31 = 930
como serian las dimensiones de un tanque australiano (redondo) que tiene que almacenar 5300 litros de agua?
Step-by-step explanation:
a thing or situation that is annoying because it is complicated or involves a lot of effort
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
Answer:
G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)
Step-by-step explanation:
Exponetial funtions are when you have a power of, for example g(x)=1+6x^2
It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace
Please help ASAP! Will Mark Brainliest!
Answer:
m = 18
Step-by-step explanation:
10/15 = m/12
Cross multiply using the butterfly method.
15m = 10*12
15m = 120
Divide both sides by 15.
m = 8
I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer
Find the area of the isosceles triangle
Answer:
Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:
Equilateral Triangle- A triangle with all sides equal.
Isosceles Triangle- A triangle with any two sides/angles equal.
Scalene Triangle- A triangle with all unequal sides.
A cylinder has a base diameter of 20 meters and a height of 17 meters. What is its volume in cubic meters, to the nearest tenths place?
4 + 2⁵ • (8 – 6) + 3³?
Answer:
95
Step-by-step explanation:
[tex]4 + {2}^{5} \times (8 - 6) + {3}^{3} \\ 4 + 32 \times (2) + 27 \\ 4 + 64 + 27 \\ 68 + 27 = 95[/tex]
Answer:
95
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
4 + 2⁵ · (8 - 6) + 3³
Step 2: Evaluate
Exponents: 4 + 32 · (8 - 6) + 27(Parenthesis) Subtract: 4 + 32 · 2 + 27Multiply: 4 + 64 + 27Add: 68 + 27Add: 95In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.
Answer:
what are the hypotheses?
Step-by-step explanation:
you said the hypotheses are as folows its not there