Answer:
You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.
Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...
Principal Amount: Principal Amount remains constant on Simple Interest
Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure
Calculation: It is easy to calculate Simple Interest
Answer:
To calculate simple interest, you can use a specific formula:
I (interest) = p (principal) x r (rate) x t (time)
Important: Rate is always a decimal, and time must be a compatible unit that matches with the rate (months, years, etc.).
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 13 feet and a height of 13 feet. Container B has a
radius of 10 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A,
to the nearest tenth of a cubic foot?
Cylinder A can hold 6902.08 ft^3
Cylinder B can hold 5654.87 ft^3
6902.08 - 5654.87 = 1247.21
The amount that will be left over in container A is 1247.21
Answer:
B
Step-by-step explanation:
How could you use subtraction to find the area of a figure
Answer:
https://brainly.com/question/7699717
Step-by-step explanation:
The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96
The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
How to determine the entry price that results in no incomeThe expression for the income is given as:
[tex]96x - 4x^2[/tex]
When the income is 0, we have the following equation
[tex]96x - 4x^2 = 0[/tex]
Factor out 4x
[tex]4x(24 - x) = 0[/tex]
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
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Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” Describe the mistake that Eva made.
Solve this quickly please!!
Answer:
Step-by-step explanation: we will first work out a
so 23 is the hypotenuse
a is the opposite
so what we need to do is 46sin(23) and that will give you 17.97 cm
next we will work out b
b is the adjacent
23 is the hypotenuse
so in this case we must do 46cos(23) and that will give you 42.34
last, we will work out B
a is 17.97 cm and its the adjacent
23 is the hypotenuse
so we do sin-1(17.97/23)= 51.38
The tree in Donnas backyard is 8.6 m high. How high is it in centimeters?
Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has $3,875. 79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?.
Answer:
T=50.99
Step-by-step explanation:
Given:
I=3,875.78
P=1,900
R=4% I.e 4/100 , 0.04
T=?
I=PRT
3,875.79=($1,900)(0.04)t
3,875.79=76t
3,875.79/76= t
T=50.99
Find the scale factor for the dilation shown.
Answer:
2
Step-by-step explanation:
The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2
If I have 1 apple, and I get 2 apples, how many apples do I have
Answer:
you have 1
you get 2
2+1=3
You now have 3 apples :)
Hey!
you have 3 apples.
2+1 is 3.
A rectangle has a width that is 3 meters more than twice the length. The area of the rectangle is 44 and square. What are the length and the width of the rectangle?
Answer:
8x11/2= 44 it's 44
Step-by-step explanation:
A=44 = LW = (2W-3)W = 2W^2 -3W
2W^2-3W -44 = 0
(2W-11)(W+4) = 0
2W-11 = 0
2W = 11
W = 11/2 = 5 1/2 meters
L=2W-3 = 11-3 = 8
8x11/2= 44
length = 8 m, width = 5 1/2 m
there are 45 boys on the track team. About 25% of the boys were on the team last year. About how many boys were on the track team last year
Answer:
about 11 boys were on the track team last year.
what is the problem with Carter's Budget?,,
Answer: carter has not saved any money
Step-by-step explanation:
A) Jose and Anna are planning a Halloween Party. They are making goodie bags and have 30
Lollipops and 42 KitKat bars. If they want the same amount of candy in each goodie bag, what
the greatest number of goodie bags they can make?
B) How many lollipops and KitKat bars will be in each goodie bag?
C) Using the distributive property, factor the sun of terms 30 and 42 as a product of the GCF and a sum.
D) John and his two friends are buying tickets to the Halloween party. Each tickets cost $2.75. They paid with a $50.00 bill, what is their change?
Answer:
6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags
Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)
If an island's only residents are penguins and bears, and if there are 24 heads and 64 feet on the island, how many penguins and how many bears are
on the island
Penguins (P): 1 H + 2 Ft
Bears (B): 1 H + 4Ft
Heads Equation: 1P + 1B = 14 → -2(1P + 1B = 14) → -2P - 2B = -28
Feet Equation: 2P + 4B = 30 → 1(2P + 4B = 30) → 2P + 4B = 30
2B = 2
B = 1
Heads Equation: 1P + 1B = 14 → 1P + 1(1) = 14 → P = 13
Answer: 13 Penguins and 1 Bear
Identify the dividend, quotient, divisor, and remainder of x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2. What do you know about the function at x = 1?
Answer:
Step-by-step explanatio
may not be real numbers. Our final theorem in the section gives us an upper bound on the number
of real zeros.
Theorem 3.7. Suppose f is a polynomial of degree n ≥ 1. Then f has at most n real zeros,
counting multiplicities.
Theorem 3.7 is a consequence of the Factor Theorem and polynomial multiplication. Every zero c
of f gives us a factor of the form (x − c) for f (x). Since f has degree n, there can be at most n of
these factors. The next section provides us some tools which not only help us determine where the
real zeros are to be found, but which real numbers they may be.
We close this section with a summary of several concepts previously presented. You should take
the time to look back through the text to see where each concept was first introduced and where
each connection to the other concepts was made.
Connections Between Zeros, Factors and Graphs of Polynomial Functions
Suppose p is a polynomial function of degree n ≥ 1. The following statements are equivalent:
• The real number c is a zero of p
• p(c) = 0
• x = c is a solution to the polynomial equation p(x) = 0
• (x − c) is a factor of p(x)
• The point (c, 0) is an x-intercept of the graph of y = p(x)
3.2 The Factor Theorem and The Remainder Theorem 265
3.2.1 Exercises
In Exercises 1 - 6, use polynomial long division to perform the indicated
find the volume of the cone
The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]
r: radius --> 3fth: height --> 12ft [tex]\pi\\[/tex] = 3.14Volume = [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]
Hope that helps!
Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form? –3x2 – 18x – 27 –3x2 – 15x – 30 –3x2 3x 6 –3x2 3x – 30
The simplification of the given expression will be [tex](-3x^2-15x-30)[/tex].
What will be the simplification of the given expression?Given expression is
[tex]-3(x+2)^2 -3+3x[/tex]
By applying [tex](a+b)^2=a^2+2ab+b^2[/tex] we get
[tex]-3(x^2+6x+9)-3+3x[/tex]
Multiplying by -3 into the whole bracket we get
[tex]-3x^2-18x-27-3+3x[/tex]
[tex]-3x^2-18x-30+3x[/tex]
[tex]-3x^2-15x-30[/tex]
Thus the simplification of the given expression will be [tex](-3x^2-15x-30)[/tex]
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Answer:
B. –3x^2 – 15x – 30
Step-by-step explanation:
Expand and simplify (2x - 5)(3x - 2)
I got -13x +10? not sure what i’m doing wrong.
Answer:
6x^2 - 19x + 10 is the answer
Step-by-step explanation:
Lets use the FOIL method to expand,
(2x - 5)(3x -2)
2x * 3x + 2x * -2 + -5 * 3x + -5 * -2
This is the expanded version of the expression above!
here is a better way of explaining it,
(2x - 5) is the first equation now lets split it up
now its 2x and -5!
now you just multiply 2x and -5 to the second equation (3x - 2)
makes sense?
Lets Simplify it,
2x * 3x + 2x * -2 + -5 * 3x + -5 * -2
6x^2 - 4x - 15x + 10
6x^2 - 19x + 10
(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)
Now you just simplify!
So as a result the answer is,
6x^2 - 19x + 10
Hope this helps :)
Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
What is the volume of a rectangular prism?It is given by the multiplication of the base area by the height, that is:
[tex]V = S_bh[/tex]
In this problem, we have that the measures in square inches and inches, respectively, are given by:
[tex]S_b = 400, h = 17[/tex]
Hence:
[tex]V = 400 \times 17 = 6800[/tex]
The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
Answer:
6800
Step-by-step explanation:
(please help!) Find the surface area of the prism.
Two number whose product is -168 and sum is -13
Answer:
-21 and 8
Step-by-step explanation:
-21 × 8 = -168 and -21 + 8 = -13
Hope this helps!
find the height of the tree to the nearest foot.
Answer:
height = 50 ft (nearest foot)
Step-by-step explanation:
This creates a right triangle, where:
horizontal leg = 72 ftvertical leg = height of treeangle of elevation (between horizontal leg and hypotenuse) = 34.6°Use the tan trig ratio to find the height.
[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]
[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]
[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]
[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]
[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]
[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]
[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]
height approximately 50ftali and beth divide £35 in the ratio of 2:5 what do they get
Ali gets £10
Beth gets £25
Step-by-step explanation:
The amount is divided into 7 equal parts since 2+5=7.
since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.
share the £35 between the 7 parts by dividing 35 by 7.
35÷7=5
Ali gets 5× £2= £10
Beth gets 5×£5 =£25
5×5=25 (Beth's portion)
i dont really understand this and i need it done by the end of the dday
Answer:
1.
A: GI= 60
B: MH= 14
C: IK= 23
D: HI= 46
E: MG= 24
2.
A: TU= 38
B: VY= 17
C: UZ= 15
D: WV= 15
E: TV= 30
Step-by-step explanation:
This probally isnt all right but most of it most likely is.
calculate the area of the figure below
Answer:
164 cm²
Step-by-step explanation:
Take the 2 shapes and find the areas
Triangle area = (bh)/2
13 × 8 × 0.5 = 52
Rectangle area = 16 × 7 = 112
Add up the areas
112 + 52 = 164
Answer:
136 cm²
Step-by-step explanation:
The composite figure is made up of a triangle and a rectangle.
Area of the triangle
[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]
Area of the rectangle
[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]
Therefore, the area of the composite figure is:
[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]
Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip,how many ways are there?
Cathy and Iris have 259,459,200 ways to skip countries.
Data;
Number of countries they are planning to visit = 9Number of countries they would like to visit = 13CombinationTo solve this problem, we would have to use a mathematical procedure known as combination.
Let us calculate the number of countries that would have to skip.
[tex]13 - 9 = 4[/tex]
To decide which country they have to skip, it would be 4 out of 13.
[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]
Let's solve this
[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]
Cathy and Iris have 259,459,200 ways to skip countries.
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Please help me! This is finding slope btw
Step-by-step explanation:
for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.
Hence why it is -3.
For number 10. The slope is 0. I Forgot to write that on the pic
:)
Please pe please please please please please help me
Answer:
y =mx
Step-by-step explanation:
The second one is for the gradient
The third one is pythogras theorm
The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)
A forest ranger collected data about the rainfall in a forest, in inches, on consecutive days of a month. His data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Rainfall and number line from 2 to 3 in increments of 1 tenth labeled Rainfall (in inches) with zero dots over 2, zero dots over 2 and 1 tenth, zero dots over 2 and 2 tenths, 1 dot over 2 and 3 tenths, 2 dots over 2 and 4 tenths, 1 dot over 2 and 5 tenths, 2 dots over 2 and 6 tenths, 2 dots over 2 and 7 tenths, 2 dots over 2 and 8 tenths, zero dots over 2 and 9 tenths, and zero dots over 3 box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 6 tenths, and maximum value 2 and 8 tenths
The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).
What is a Box Plot?A box plot shows the five-number summary of a data distribution which includes:
Minimum valueMaximum valueMedianUpper quartile (Q3)Lower quartile (Q1)To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:
2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8
The five-number summary of the data points stated above would be:
Minimum value - 2.3Maximum value - 2.8Median - 2.6Upper quartile (Q3) - 2.7Lower quartile (Q1) - 2.4Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).
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Answer:
other guy is right
Step-by-step explanation:
Find the final
price $
laptop with 5% sales tax
5
of a $719.99
Answer:
■ Sales tax: $36.00
■ Cost/Price before ST: $719.99
■ Total Cost/Price including ST: $755.99
Step-by-step explanation:
Answer: $755.99
Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.
In this problem the sales tax is 5%, which is equal to 0.05
(719.99) (0.05) = 35.9995
35 + 719.99 = 755.9895
The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99