The percent of simple interest that the account has will be 7.2%.
How to calculate the rate?From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.
The percent of simple interest that the account has will be:
= 1.072 - 1
= 0.072
= 7.2%
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
On a map with a scale 1 : 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1 : 300,00?
Answer:
36 cm
Step-by-step explanation:
What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answer:
3.) rule of thumb
Step-by-step explanation:
Jack takes 10 minutes to ride his stakeboard down the hill to his friend's house and 20 minutes to ride up the hill from his friend's house. he goes to his friend's house monday through friday. how many minutes does he spend riding his stakeboard to and from his friend's house in two weeks? write an equation to model your work.
Jack spends 300 minutes in two weeks riding his skateboard to and from his friend's house Monday through Friday.
Time taken by Jack to ride his skateboard down the hill to his friend's house = 10 minutes
Time taken by Jack to ride his skateboard up the hill to his friend's house = 20 minutes
Total time combined = 30 minutes
Total days in a week Monday through Friday= 5 days
Total days in 2 weeks = 10 days
Therefore, time spent by jack riding his skateboard up and down the hill to his friend's house in two weeks Monday through Friday = 10*30 = 300 minutes
Learn more about time:
https://brainly.com/question/10818403
#SPJ4
Which polynomial does not have an absolute maximum?
A. 2nd degree
B. 3rd degree
C. 4th degree
Reason:
Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.
Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.
Example: y = x^3 does not have an absolute max, but y = -x^2 does.
15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?
Y = -0.5
The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry
Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)
x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2
Since radius is half of the diameter, we need to find the findthe midpoint of the diameter
Using midpoint formula,
y = (y₁ + y₂)/2
= (0 + (-1))/2
= -0.5
To learn more about midpoint theorem, refer to https://brainly.com/question/5566419
#SPJ9
In the year 2000, a company made $2.2 million in profit. for each consecutive year
after that, their profit increased by 13%. how much would the company's profit be in
the year 2003, to the nearest tenth of a million dollars?
The company's profit in the year 2003 is $3.1 million
Profit is defined as the amount of revenue generated after deduction of all the liabilities.
Given that in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]
Substituting the values we get
profit=[tex]2.2(1+0.13)^3[/tex]
=[tex]2.2(1.13)^3=2.2*1.442897[/tex]
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
Learn more about Profit here https://brainly.com/question/19161495
#SPJ4
if there are 15 cubs and 4 lionesses, what is the ratio of cubs to lionesses?
Answer:
15 : 4
Step-by-step explanation:
Given that,
→ 4 lionesses
→ 15 cubs
Then the ratio of cubs to lionesses,
→ x = No. of cubs : No. of lionesses
→ [ x = 15 : 4 ]
Hence, the ratio is 15 : 4.
Nilai dari sin 135, bantuin kakk pliss
Answer:
[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]
Step-by-step explanation:
[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]
if f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).
Answer:
7
Step-by-step explanation:
[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]
Subtracting the equations yields that m=2, and thus c=3.
[tex]\implies f(2)=2(2)+3=7[/tex]
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Eve and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Eve puts 5 water bottles into each kit they pack. In all, she packs 125 water bottles.
Which equation can you use to find the number of emergency kits k Eve packs?
Answer:
Step-by-step explanation:
no. of emergency kits = x
bottles per kit = 5
total no. of bottles = 5x
which means,
5x = 125
125/5 = x
x = 25
*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.
Answer:
The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8
Step-by-step explanation:
Perimeter for rectangle:
2(x+4) + 2x
2x + 8 + 2x
4x + 8
Perimeter for the square:
4(x+2)
4x + 8
Please help!!!! need help ASAP ahhhhhh
Is it possible to construct a cube with 2000
interlocking cubes? Justify your answer.
It is possible to construct a cube with 2000
interlocking cubes depending on the sides for each.
How to illustrate the information?It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.
In this case, the sides will be:
= 2000 / 6
= 333.33
In this case, it should be noted each side will be 333.33.
Also, if you want each to be a whole number, this won't be possible.
Learn more about cube on:
brainly.com/question/26726803
#SPJ1
2/3y - 2/5 = 15 it’s algebra
Answer:
y=231/10
Step-by-step explanation:
First you want to add 2/5 to 15.
Now you will have 2/3y=77/5
Now you want to mulitply both sides 3/2
3/2*2y/3=3/2*77/5
Then you will get y=231/10.
A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before returning the truck, the student fills the tank with gasoline, which costs $65.32. The total cost is $144.67. How many miles did the student drive the truck?
The number of miles covered by the student is; 54.45 miles.
How many miles did the student cover?The college student in discuss incurs a total cost of $144.67.
On this note, the cost incurred over the miles covered can be determined as follows;
= $144.67 - $19.95 - $65.32
= $59.4
Hence, since the cost of one mile is $59.4, it follows that the number of miles covered is;
No. of miles = 54.9/0.99
= 54.45 miles.
Read more on cost per unit;
https://brainly.com/question/19493296
#SPJ1
(50 Points!!!)
Gwen is finding the area of the shaded sector in the given circle, which has a circumference of 6 units.
Identify the step where Gwen first made an error.
A. Step 5
B. Step 6
C. Step 3
D. Step 7
The step in which Gwen made an error for the area of the shaded region in the circle is given by:
A. Step 5.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by:
C = 2π r.
For this problem, the circumference is of 6π units, hence the radius is given as follows:
6π = 2π r.
r = 6/2.
r = 3 units.
What is the area of a circle?The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:
A = πr².
The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:
A = (72/360) πr².
Which is where Gwen made an error, at Step 5, hence option A is correct.
More can be learned about the area of a circle at https://brainly.com/question/17326298
#SPJ1
There is enough information to prove that triangles tno and gcm are congruent. true false
False, there is not enough information provided to Prove that both the triangles are congruent.
What is the congruent triangle?
Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.
Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.
These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.
If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.
When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.
The given data doesn't satisfy any of the conditions.
Hence, there is not enough information provided to Prove that the two triangles are congruent.
To learn more about the, congruent triangle visit:
https://brainly.com/question/12413243
#SPJ4
Answer:
tru but u gotta put a picture next time man
Step-by-step explanation:
16^((3)/(8))* 16^((1)/(8))
can someone help me with these
Answer:
for the triangle question the ans is 2
for the equation question where u have to find the mistake the student made, its the last option
Find an equation of the sphere that passes through point (1,8,1) and has center (3,5,-1)
The sphere's equation that passes through the given point is:
(x - 3)² + (y - 8)² + (z - 1)² = 30What is the standard equation of a sphere?A sphere's standard equation is defined by its center and radius. Remember that the radius is the distance between any two points on the sphere. The standard formula is: [tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2[/tex]To find the equation of the sphere:
The radius of a sphere is equally distant between any two points on the sphere. The sphere's center is: (3, 8, 1)So,
P = (4, 3,−1)C = (3, 8, 1)r = d(C, p)Now,
[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]
Supplement the center point and radius into the standard sphere equation:
[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]
Therefore, the sphere's equation that passes through the given point is:
(x - 3)² + (y - 8)² + (z - 1)² = 30Know more about the standard equation of a sphere here:
https://brainly.com/question/17402802
#SPJ4
The correct question is given below;
Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).
mathhhhhhhhhhhhhh._ help plsssssss
Answer:
[tex](-4,-\frac{1}{2})[/tex]
Step-by-step explanation:
The midpoint of a line segment can be found using the midpoint formula below:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.
Let's identify the coordinates of the two end points, A and B.
On both axes, a square represents 1 unit.
A(-5, -4) and B(-3, 3)
Applying the midpoint formula,
midpoint
= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]
= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]
= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]
To learn more about midpoint, do check out: https://brainly.com/question/14687140
write 196 as a product of primes.
use index notation when giving your answer
Answer:
The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.
Answer:
2² × 7² = 196
Step-by-step explanation:
Name a pair of adjacent complementary angles.
4. Name a pair of adjacent supplementary angles.
5. Name a pair of nonadjacent complementary angles.
6. Name a pair of nonadjacent supplementary angles.
3. A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
What are Complementary and Supplementary Angles?Supplementary angles have a sum that is equal to 180 degrees, while complementary angles equal 90 degrees.
What are Adjacent Angles?Angles that share the same side and vertex are adjacent angles.
3. m∠LJM + m∠NJM = 56 + 34 = 90°
A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. m∠KJL + m∠NJL = 90 + (56 + 34) = 180°
A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. m∠EGF + m∠NJP = 41 + 49 = 90°
A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. m∠FGH + m∠LJM = 124 + 56 = 180°
A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
Learn more about supplementary and complementary angles on:
https://brainly.com/question/13204208
#SPJ1
11 = −5+y
Solve for Y
Answer:
y=16
Step-by-step explanation:
11 = −5+y
Solve for Y
Add 5 to each side
11+5 = -5+y+5
16 = y
y=16
Write a function rule for the table
The function rule for the table is y = 25/4 x
Equation of a linear functionThe standard expression for a linear function is expressed as y =mx + b
where
m is the slope
b is the y-intercept
Using the coordinate points (4, 25.00) and (8, 50.0)
Determine the slope
Slope = 50-25/8-4
Slope = 25/4
Determine the y-intercept
50 = 25/4(8) + b
50 = 25(2) + b
50 = 50 + b
b = 0
Hence the function rule for the table is y = 25/4 x
Learn more on function and table here: https://brainly.com/question/17080205
#SPJ1
A car and an emergency are heading toward each other. The car is traveling at a speed of 30
mph or 44 feet per second. The emergency vehicle is traveling at a speed of 50 mph or about
74 feet per second. If the vehicles are 1000 feet apart and the conditions are ideal, in how
many seconds will the drive of the car first hear the siren?
If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.
Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.
We are required to find the seconds after which the driver of the car first hear the siren.
Speed is basically the distance that a vehicle covers in a particular period of time.
Speed=Distance/Time
Time=Distance/Speed
Total speed in feet per second=44+74=118 feet per second
Time=1000/118
=8.48 seconds
Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.
Learn more about speed at https://brainly.com/question/4931057
#SPJ9
Select all the data sets with a range greater than 10. (2 points)
4 5 6 7 13
1 5 7 8 14
10 11 14 17 18
5 7 9 21 23
11 11 11 11 11
The data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
What is the Range of a Data Set?The range of any given data set is the difference between the largest and the lowest data point in the data set.
Range for 4 5 6 7 13:
Range = 13 - 4 = 9
Range for 1 5 7 8 14:
Range = 14 - 1 = 13
Range for 10 11 14 17 18:
Range = 18 - 10 = 8
Range for 5 7 9 21 23:
Range = 23 - 5 = 18
11 11 11 11 11 has no range.
Therefore, the data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
Learn more about range of a data set on:
https://brainly.com/question/12581928
#SPJ1
Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Compare the scale drawing of a window frame that uses a scale of 1 cm to 12 inches.
the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
We have that:
Scale of the first drawing is 1 cm to 6 inches.
It can be written in ratio as:
1 : 6
Now the scale of the other drawing of a window is
1 cm to 12 inches.
which can also be written in ratio as:
1 : 12
By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.
That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ1
the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y
The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
The available points are (3,5) and (9,10).
The line's slope is given by:
[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]
The equation is as follows:
[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]
Solve it to obtain the equation:
[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]
Therefore, the equation is 5x - 12y = -75.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ4
The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.
The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The table can be filled as,
-7
-5
-1
1
9