Answer:
72.80= 70(x)^1
x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself
x= 1.04
4% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
What is the simple percent interest?
Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.
Here given that,
Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].
So,
[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]
which is [tex]4[/tex]% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
To know more about the simple percent interest
https://brainly.com/question/17282817
#SPJ2
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2100. What was the rate charged per hour by each mechanic if the sum of 2 rates was $190 per hour?
Answer: 115/hr & $75/hr
Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.
I'm as stuck as stepsis in the dryer.
The area equation for the given rhombus is:
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
How to get the area of the rhombus?
For a rhombus of diagonals d₁ and d₂, the area is given by:
A = (d₁*d₂)/2
In this case, we have:
d₁ = (2x + 8)m
d₂ = (x - 2)m
Then the area equation is:
A = (1/2)*(2x + 8)*(x - 2) m^2
A = (x + 4)*(x - 2) m^2
A = (x^2 - 2x + 4x - 8) m^2
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?
Answer:
x=2
Step-by-step explanation:
You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2
Answer:
x=2
Step-by-step explanation:
Distribute the 2.5 and 4 out
15x - 10 = 10 + 6 +2x
Add the constant variables together
15x - 10 = 16 +2x
Move the x on one side and the constant on the other
13x = 26
Divide both sides to find x
x=2
PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:
Answer:
m∠A = 19°
vertical angles are of same measure.
⇒ so given m∠A = m∠B
Find x
3(x) + 13 = 5(x) + 93(x) - 5(x) = 9 - 13-2(x) = -4x = 2Then find m∠A
3(x) + 13°3(2) + 13°6° + 13°19°Answer:
19°That's your answer
Step-by-step explanation:
So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.
Now we are given 2 angles.
Angle A and Angle B
Angle A= (3x+13) degrees
Angle B=(5x+9) degrees
Knowing that and that they measure the same just put them equal to each other……
3x+13=5x+9
Given the equation just solve…..
Lets subtract 9 from 13
Then Subtract 3x
Then Divide by 4
3x+13=5x+9
3x+4=5x
4=2x
x=4/2 =2
x= 2
We now Know X is equal to ½ but we still need to figure out the measure of angle A
Angle A= 3x+13
So just plug in
3(2) +13= 19° :)
SonicIsCoool on you tube scratch and much more....
if you need any help i'm at your service.... :)
A
Complete the transformation on the rectangle
ABCD shown and choose the resulting vector
Use [ABCD]
Answer:
(3 -1 -1 3
4 4 1 1)
reflection across the y-axis
Step-by-step explanation:
hi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want
PLEASE SOLVE THIS I DONT HAVE MUCH TIME I WILL GIVE BRAINLYZ
A rectangle has a length of 10 cm and a width of 6 cm
How long is the diagonal of the rectangle?
Answer:
d = 2√34
Explanation:
d² = 10² + 6²d² = 100 + 36d² = 136d = √136d = 2√34A map has a scale of 1 cm to 4km.
The road from Carton to Ambridge measures 5.8cm on the map.
How far is it from Carton to Ambridge in Kilometers?
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?
I need the answer ASAP
Please help me with question 1.
Answer:
C =66
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
32° x x
Please help
180°-32°=2x (angles in a triangle always sum up to 180)
2x= 148°
x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)
How to do the sum
25 cm 25 mm = --------------------m
pls give the ans with explanation
Answer:
Step-by-step explanation:
100 cm = 1 m
25 cm = 25 ÷ 100 = 0.25 m
1000mm = 1m
25 mm = 25 ÷ 1000 = 0.025
0.250 +
0.025
0.275
25 cm 25 mm = 0.275 m
math please help !!!
Answer:
a = -2
Step-by-step explanation:
Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1
2a+5 = 1
2a = 1 - 5
a = -4/2
a = -2
a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail
Answer:
54 I think
Step-by-step explanation:
you multiply the width times the length and that’s the area
hope this helps!
Help pls need done now :)
Answer:
g(x) = x^2 + 6
Step-by-step explanation:
We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).
g(x) = (x - h)^2 +k
It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.
g(x) = (x-0)^2 + 6
g(x) = x^2 + 6
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]
At the maximum position, the time period is zero. Thus,
[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]
At the minimum position, the period equal to the π. Thus,
[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Learn more about the time period of pendulum here;
https://brainly.com/question/3551146
Answer:
C:1.25
Step-by-step explanation:
The mass of the sun is 2 × 1030 kg, and the distance between neptune and the sun is 30 au. what is the orbital period of neptune in earth years? 30 earth years 164 earth years 3.8 × 1011 earth years 2.3 × 1017 earth years
The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
What is the mathematical expression of Kepler's law ?
[tex]T^2 = 4\pi ^2a^3/GM[/tex]
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
[tex]T^2 = a^3[/tex]
[tex]T = \sqrt(a^3)[/tex]
[tex]T = \sqrt(30^3)[/tex]
[tex]T = 164.3[/tex]
Therefore, the Neptune's time period of orbit is 164.3 earth years.
To learn more about the time period visit:
https://brainly.com/question/329317
Answer:
b. 164 earth years
Step-by-step explanation:
just took the quiz 2022
URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch
box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick
Box 2 picture attached please give accurate answer thanks!
Answer:
One square inch is equal to . So, your box have square inches and it costs or $36 to manufacture it.
Step-by-step explanation:
2. A traffic study was conducted on a busy street. In 15-minute intervals from 6:30 a.m. to 8:00
a.m., the number of vehicles that passed a certain point in one minute was recorded in the table
below. Write an equation for the curve of best fit, then approximate the number of cars that passed
the point at 9:15 a.m.
The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.
How to illustrate the equation?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.
A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.
A regression that has two independent variables will have a formula with:
y = c + b1x1 + b2x2
where,
c = constant
b1 = first regression coefficient
x1 = first independent variable
b2 = second regression coefficient
x2 = second independent variable.
In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.
Learn more about line of best fit on:
https://brainly.com/question/21241382
What is the domain and range?
Answer: domain: [-6,6] range: [-4,3]
Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
Answer:
(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ftStep-by-step explanation:
Let the length be x and width be y.
We have:
x = y + 8Area = 240 ft²Set equation and solve
xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ftThe length is:
x = 12 + 8 = 20 ftThe perimeter is:
P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ftCorrect choice is D
Let they be l and b
l=b+8l-b=8--(1)And
lb=240So
(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)From both equations
2l=40l=20And.
b=20-8=12ft
Option D
Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8
x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.
Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.
What is the function for the ball's height?The height when x feet are traveled is given by:
h(x) = -0.5x² + 6x + 4.
When the height is of 20 meters, we have that h(x) = 20, hence:
20 = -0.5x² + 6x + 4.
0.5x² - 6x + 16 = 0
x² - 12x + 32 = 0
(x - 8)(x - 4) = 0
For the first time: x - 4 = 0 -> x = 4.
The snowball traveled 4 feet when the height is 20 feet.
More can be learned about functions at https://brainly.com/question/25537936
Share OMR 120 in the ratio 1.5 : 0.5
Answer:
90:30 is the answer
only if we use over 2
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12
An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
[tex]y = A cos bx + c[/tex]
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
What is the formula for the amplitude?
[tex]A = 1/2 (Xmax - Xmin)[/tex]
[tex]12 - 2 / 2 = 10/2 = 5[/tex]
[tex]b = 2 pi / 12 = pi/6[/tex]
[tex]c = 1/2 (Xmax + Xmin)[/tex]
[tex]12+2/2 = 7[/tex]
Therefore, the an equation for water level in june for pensacola as a function of time (t)
[tex]f(t) = 5 cos pi/6 t + 7[/tex]
To learn more about the function of time visit:
https://brainly.com/question/24872445
find the equation of a line passing through (3,2) and (5,6)
Answer:
y=1/-2x+2.5
Step-by-step explanation:
Y=Mx+c
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
If 15% of sum is Rs 45, find the sum.
answer : the sum so obtained is rupees 300
