The simple interest was $10.5 and the amount after 1 year would be $360.5 in her account.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
We have been given data as
Principal amount (P) = $350
Time (T) = 1 year
The rate of interest (R) = 3%
Simple interest= P × R × T
Simple interest = 350 × 3/100 × 1
Simple interest = $10.5
So the amount after 1 year would be P + S.I. = 350 + 10.5 = $360.5
Therefore, the simple interest would be $10.5 and the amount after 1 year would be $360.5.
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can someone help? i think its false but is cos to the negative one the same as sec?
Answer:
True
Step-by-step explanation:
Cos^-1 = 1/ cos = sec x
Answer: True
Step-by-step explanation:
When the cos(ine) function is raised to the negative first power, we find the reciprocal. This will be the case for most functions and numbers.
there are 24 baseball teams in a league
each team plays two matches against each of the other teams
work out the total number of matches played
Answer: 125
Step-by-step explanation:
The total number of matches played is 552.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The given parameters are as;
Teams = 24
Matches against each other = 2
Therefore, the total number of matches played is;
Total = Teams * (Teams - 1)
This gives;
Total = 24 * (24 - 1)
Evaluate;
Total = 552
Hence, the total number of matches played is 552.
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is x to the 12th power times x to the fourth power equal to x to the 8th power times x to the 8th power? Explain
The equation is simplified as [tex]x^{16}=x^{16}[/tex].
The given equation is [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex].
We need to simplify and explain the equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Use the exponent rule [tex]a^m . \ a^n=a^{m+n}[/tex] to simplify the given equation.
Now, [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex]
⇒ [tex]x^{12+4}=x^{8+8}[/tex]
⇒ [tex]x^{16}=x^{16}[/tex]
The exponents of both the sides of equation are the same.
Therefore, the equation is simplified as [tex]x^{16}=x^{16}[/tex].
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I need help please!!
Answer:
9.6*10^-12
Step-by-step explanation:
To calculate this, you will do the mass of 2 times 10^(-12) gram. So, 2*(10)^-12. Then we know 30 hours = 480,000,000 bacteria.
So now now you calculate the mass, 480,000,000 * 2(10)^-12 which gives you 9.6*10^-4.
Sorry if it sounds confusing! I hope this helps, have a good day! :D
1/2| + 8| = |4 − 1|
pls help
Answer:
What are you even trying to solve for? There is no variable or anything
Step-by-step explanation:
The Drama Club sold 900 tickets to the school play. They charged $5.50 for students and $8.00 for non-students.
If they took in $5700, how many non-student tickets were sold?
Answer:
300 non student tickets were sold
Step-by-step explanation:
Let's solve the equation step by step,
In order to solve for how many non student tickets were sold, let's make an equation
5.50x + 8.00y = 5700 --------(equation 1)
x + y = 900 ---------------(equation 2)
Let's solve for x and y
5.5x+8y=5700;x+y=900
Rewrite equations:
x+y=900;5.5x+8y=5700
Step: Solve x+y=900 for x:
x+y=900
x+y+−y=900+−y(Add -y to both sides)
x=−y+900
Step: Substitute−y+900forxin5.5x+8y=5700:
5.5x+8y=5700
5.5(−y+900)+8y=5700
2.5y+4950=5700(Simplify both sides of the equation)
2.5y+4950+−4950=5700+−4950(Add -4950 to both sides)
2.5y=750
2.5y/2.5 = 750/2.5
(Divide both sides by 2.5)
y=300
Step: Substitute300foryinx=−y+900:
x=−y+900
x=−300+900
x=600(Simplify both sides of the equation)
Since y = 300 then 300 non student tickets were soldIn a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four times the measure of the second angle. if the total number of degrees in a triangle is 180 what is the measure of the largest angle?
The greatest angle in the given triangle is 104 degrees.
What is a triangle?The polygon with 3 sides, three vertices, and three angles is known as a triangle. A triangle's overall number of degrees is always 180 degrees.Given:
Let, the second angle has a measurement of x degrees.The first angle's measurement is 24 degrees greater than the second angle's measurement. As a result, the first angle is (24+x) degrees.The third angle is four times as large as the second. As a result, the third angle has a measure of 4x.So,
(24 + x) + x + 4x = 1806x = 124 - 486x = 156x = 156/6x = 26As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
= 24 + 26= 50As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
4 × 26 = 104Therefore, the greatest angle in the given triangle is 104 degrees.
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if a round cake has 30 slices how many slices will represent an angle of 216°?
Answer:18
Step-by-step explanation:360/30=12
216/12=18
Someone please help for 15 points!!!
Answer:
With what nothing there
Step-by-step explanation:
Part of your bathroom remodel involves you needing to repaint. the walls measure to be 150 square feet. if a gallon of paint covers 400 square feet, how many gallons do you need to buy if you need 2 coats?
I need to buy 0.75 gallons of paint 2 coats on the wall.
We are given the area of wall, which is 150 square feet. So, if I need to put double or two coats on the wall, the area of wall to be considered will be : 150 × 2
Area of wall to be considered = 300 square feet
As per the information on paint -
400 square feet is covered by amount of paint = 1 gallon
300 square feet will be covered by amount of paint = (1 ÷ 400) × 300
Amount of paint = 300 ÷ 400
Amount of paint = 0.75 gallons
Therefore, I need to buy 0.75 gallons of paint 2 coats on the wall.
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The graph represents this system of equations: A system of equations. 2 x plus y equals 3. 2 x minus 5 y equals 15.
A coordinate grid with 2 lines. One line passes through (0, 3) and (1.5, 0). The other line passes through (0, negative 3) and (2.5, negative 2).
What is the solution to the system of equations represented by the graph?
(0, –3)
(1, 1)
(1.5, 0 )
(2.5, –2)
The solution to the system of equations is (2.5, -2)
How to determine the solution to the system of equations?The system of equations is given as:
2x + y = 3
2x - 5y = 15
Subtract the equations to eliminate the variable x
This is represented as
2x - 2x + y - -5y = 3 - 15
Evaluate the like terms in the above equation
So, we have
y + 5y = 3 - 15
Evaluate the like terms in the above equation
So, we have
6y = -12
Divide both sides of the above equation by 6
So, we have
y = -2
Substitute y = -2 in 2x + y = 3
2x - 2 = 3
This gives
2x = 5
Divide by 2
x = 2.5
Hence, the solution to the system of equations is (2.5, -2)
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as
editing) and variable costs (such as printing). The one-time fixed costs will total $32,060. The variable costs will be $12.75 per
book. The publisher will sell the finished product to bookstores at a price of $21.50 per book. How many books must the
publisher produce and sell so that the production costs will equal the money from sales?
In linear equations x = 3,664 books are the production costs will equal the money from sales .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.fixed cost = $32,060
variable cost = $12.75
here cost function
c(x) = fixed cost + x( variable cost )
c(x) = $32,060 + x($12.75) ................. 1
now revenue function
R(X) = (Selling price ).x
r(x) = ( 21.50)x .............2
where production cost is wqual to selling
c (X) = r (x)
32,0 60 + x($12.75) = ( 21.50)x
32,060 = ( 21.50)x - (12.75)x
32,060 = 8.75 x
x = 3,664 books
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what is 6x7(8-0)3+5=
Answer:
1013
Step-by-step explanation:
(6)(7)(8−0)(3)+5
=42(8−0)(3)+5
=(42)(8)(3)+5
=(336)(3)+5
=1008+5
=1013
An executive invests 28,000 some at 7% and the rest at 4% annual interest if he receives an annual return of $1,570 how much is invested at each rate
we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.
We are given that:
the total amount invested is = $ 28,000
Let the amount invested at 7 % interest rate be x
Amount invested at 4 % interest rate = 28,000 - x
Interest received at the end of year = $ 1570
ATQ:
7 % x + 4 % ( 28,000 - x) = 1570
7 x + 4 (28,000 - x) = 157000
7 x + 112,000 - 4 x = 157,000
3 x = 157,000 - 112,000
3 x = 45,000
x = 45,000 / 3
x = 15,000
Amount invested at 7 % interest rate = x = $ 15,000
Amount invested at 4 % interest rate = 28,000 - x = $ 13,000
Therefore, we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.
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Helpppppppppppppppppppppppppppp
Step-by-step explanation:
A yes
C no
D no
it's only a function if the X coordinate is just being used once.
Answer:
A:no C:yes D :yes
Step-by-step explanation:
A is no because one of the numbers doesn't have a line so they aren't functions
Eighth grade > J.10 Solve proportions: word problems 5XV
You have prizes to
Sally's retirement party will cost $34 if she invites 17 guests. If there are 46 guests, how
much will Sally's retirement party cost? Assume the relationship is directly proportional.
Answer:
Practice with this https://www.ixl.com/math/grade-8/solve-proportions-word-problems
Step-by-step explanation:
Free watermelon mint recipe
Watermelon Mint Recipe
Ingredients:
1 ½ cups fresh lemon juice
1 cup sugar
4 cups water
2 cups watermelon juice
½ cup roughly chopped mint leaves
Ice
Instructions:
Squeeze and strain lemons into a pitcher.
Stir in sugar until sugar is completely dissolved.
Add water and mint leaves and stir.
Pour in watermelon juice (if using whole watermelon, puree it first then run it through a strainer).
Garnish with lemon slices, mint leaves, or watermelon.
Drink up!
Answer:Sounds delicious
Step-by-step explanation:
Sounds nice, ill make this
Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 5%. How much interest will Thang pay
Answer:
He will pay $1,050 interest
Step-by-step explanation:
5% interest is paid every year for 3 years
5% * 3(years) = 15%
7000 * 15% = $1,050
$1,050
How many inches are in 5.5 miles?
Answer:
5.5 miles = 348480 inches
Step-by-step explanation:
Formula: multiply the value in miles by the conversion factor '63360'.
So, 5.5 miles = 5.5 × 63360 = 348480 inches.
Answer:
348480
Step-by-step explanation:
5.5 times 63360 = 348480
You have one box that is 1 3 11 feet tall and a second box that is 1.27 feet tall. Write the decimal expansion for 1 3 11. If you stack the boxes, about how tall will the stack be?
Answer:
Step-by-step explanation:
Find the unknown angle measure
simplify fully
x^5-4x^3/ 3x-6
what is 2 plus 2?
2 + 2 =?
Answer:
4
Step-by-step explanation:
2+2=4
just like 2×2=4
its just 2 doubled
2 doubled equals 4
Answer:
8
Step-by-step explanation:
Your answer should be a polynomial in standard form.
(x - 2)(x - 6)
Travis painted for 6 2/3 hours. He received $27 an hour for his work. How much was Travis paid for doing this painting job?
Answer:
$180
Step-by-step explanation:
Well because it is $27 per hour, you can start with the whole hours:
6*27=162
then because you are working with fractions you can find what 1/3 of 27 is:
27* (1/3)=9
this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.
Then you just add it all up:
162+18=180
Solve the conjunction and graph it’s solution set
y = -1 and y≥ 3
101+102-103+104-105+106-…-199+200
Please answer asap!!! Will give brainliest!!!!
Answer:
252
Step-by-step explanation:
One way we could think about this problem is by grouping the numbers together into pairs: -103+104 would be a pair, -105+106 would be a pair and et cetera up to the pair -199+200.
As you can see, each of these pairs add to 1 (-103+104=1, -199+200=1 etc.), so to solve this problem we can simply find how many of these pairs there are and multiply the number by 1 since each pair will total to 1.
To find how many pairs there are we need to find the number of numbers between 103 and 200 (incl.) and divide it by 2.
200-103= 97 numbers, adding 1 to count the one we started with gives us 98 numbers between 103 and 200 (incl.).
98/2 = 49 pairs of numbers. Since each pair totals 1, 1x49 is the total sum of all these pairs of numbers.
Now we need to address the other two numbers. The sequence started with 101+102 before we looked at the remaining pairs, so to find the sum, we just need to add together 101+102+49.
101+102+49 = 252
Hope this helped!
Find the unit vectors that are parallet to the tangent line to the parabola y=x^2 at the point (3,9)
The unit vector is [tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\overline{4}\right)[/tex].
What are unit vectors?Unit vectors have a magnitude of exactly one unit. They are extremely useful for a variety of reasons.In particular, the unit vectors [0,1] and [1,0] can be combined to form any other vector.To find the unit vector:
Differentiate y = x² with respect to x.
We get, dy/dx = 2x.
The slope of a tangent:
[tex]\mathrm{P}(2,4)=\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)_{\mathrm{atP}(2,4)}=2 \times 2=4[/tex]
Tangent P equation is:
y - 4 = 4(x - 2)y = 4x - 4y = 4xy = 4x is the equation of a line passing through the origin O and parallel to the tangent at P.
4x = y, z = 0x/1 = y/4, z = 0This line's direction ratios are 1, 4, and 0, and its direction cosines are:
[tex]\pm \frac{1}{\sqrt{1^2+4^2+0^2}}, \pm \frac{4}{\sqrt{1^2+4^2+0^2}}, 0\\\pm \frac{1}{\sqrt{17}}, \pm \frac{4}{\sqrt{17}}, 0[/tex]
The number of unit vectors parallel to the tangent line at P(2,4) is:
[tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\bar{j}\right)[/tex]
Therefore, the unit vector is [tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\overline{4}\right)[/tex].
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The correct question is given below:
Find the unit vectors that are parallel to the tangent line to the parabola y=x^2 at the point (2, 4).
The median of a quanitive data set is always one of the infiviual data values. True or false
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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Please help with photo below
Answer:
No
Step-by-step explanation:
like terms are terms which have the same variable , that is
10x and - 5x are like terms, they both have the same variable x