Answer:
6. 1800
7. 49
Step-by-step explanation:
estimation is to round to easy numbers first and then multiply or divide, which can then be done easily in our heads.
so, for 6. I rounded to 60 pages per day and 30 total days (the nearest tens). one factor of the multiplication I rounded a little bit down, the other one a little bit up. therefore the total result should still be near that.
for 7 I did a similar thing. I rounded 975 to 980 and 23 to 20. just now we need to divide.
980 / 20 = 98/2 = 49
I = PRT/100
where
I = simple interest
P = the amount of money invested
R = the interest rate
T = the period of time the money is invested for.
Carla invests £500 for 3 years at a rate of 5%.
How much simple interest does Carla earn?
Answer:
75
Step-by-step explanation:
I = PRT/100
Substitute the values
in
I = 500 * 5 * 3 /100
I = 75
PLEASE HELP!
WILL MARK BRAINLIEST!!!
If AC=12cm, what is the area sector ACB to the nearest whole number?
Thank you! Multiple choice!
Answer:
38
Step-by-step explanation:
Have a nice day :)
round to 387.4 when rounded to the nearest tenth
Answer:
387.4
Step-by-step explanation:
Have a nice day
Function f is shown on the graph
Answer:
Option A, (-4, -1)
Hope this helps!
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
HELP ME ASAPPP 25 POINTS!!!
The slope of the line parallel is -2/3 and the slope of the perpendicular one is 3/2.
Pls help
Escape Question 2
Answer:
unlock code is 11
A= 27
B=16
C=1
(11)^1 = 11
Step-by-step explanation:
Parrot eats only ........ products
Answer:
Maybe Plants products...
Which expression results in the smallest difference?
A.12.5 - 3.1
B.12.5 -0.31
C.12.5 -0.031
D.12.5 -0.0031
Answer:
i pretty sure it is A
Step-by-step explanation:
Check all of the correct names for the object pictured below.
A. UT
B. TU
C. UT
D. TU
E. TU
DE UT
8. The initial value of an investment is $12,000. If the investment earns an annual interest rate of 2.2%, what is its value in 10 years?
a. $14,917.30
b. $14,640.00
c. $14,627.93
d. $87,655.58
Answer:
$14,917.30
Step-by-step explanation:Step 1: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. Here,
I = Interest amount paid in a specific time period (month, year etc.)
P = Principle amount (the money before interest)
t = Time period involved
r = Interest rate in decimal
Step 2: Once you put all the values required to calculate your interest rate, you will get your interest rate in decimal. Now, you need to convert the interest rate you got by multiplying it by 100. For example, a decimal like .11 will not help much while figuring out your interest rate. So, if you want to find your interest rate for .11, you have to multiply .11 with 100 (.11 x 100).
Amount get after 10 year is $14,640
Given information:
Initial amount invested = $12,000
Annual interest rate = 2.2%
Number of year = 10 year
Find:
Amount get after 10 year
Computation:
Amount of interest = Initial amount invested × Annual interest rate × Number of year
Amount of interest = 12,000 × 2.2% × 10
Amount of interest = $2,640
Amount get after 10 year = Initial amount invested + Amount of interest
Amount get after 10 year = 12,000 + 2,640
Amount get after 10 year = $14,640
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Find the quotient and the remainder when X+5x+2 is divided by X + 1
Quotient: 6
Remainder: -4
Hope this helps! :)
Do 5 feet+ 12 feet + 13 feet make a. Right triangle
Answer:
yes
Step-by-step explanation:
Pythagoras
in a right triangle it is always
c² = a² + b²
with c being the side opposite of the 90 degree angle.
5² = 25
12² = 144
13² = 169
so, because indeed 13² = 5² + 12², these three lines make a right triangle.
Write a linear factorization of the function.
f(x) = x4 + 16x2
f(x) = x2 (4x + i)(4x - i)
f(x) = x2 (x + 4i)2
f(x) = x2 (x + 4i)(x - 4i)
f(x) = x2 (4x + i)2
Answer:
f(x) = x^2 ( x -4i) (x+4i)
Step-by-step explanation:
f(x) = x^4 + 16x^2
Factor out x^2
f(x) = x^2 ( x^2 +16)
f(x) = x^2 ( x^2 - -16)
The square root of -16 is 4i and -4i
Using the difference of square (a^2 - b^2) = (a-b)(a+b)
f(x) = x^2 ( x -4i) (x+4i)
find the value of x. what is the relationship of these 2 angles? set up and solve an equation
finding missing angles 33 33 x
please help me solve this
Answer:
x=5, y=16
Step-by-step explanation:
y=x^2-9
y=2x+6
solve by substitution
2x+6= x^2 -9
2x+6 = (x+3) (x-3)
2 (x+3) = (x+3) (x-3)
divide both sides by x+3
2= x-3
add 3 to both sides
x=5
y= 2(5) +6
y= 16
Answer:
(-3, 0), (5, 16)Step-by-step explanation:
y = x² - 9y = 2x + 6Solve by substitution:
x² - 9 = 2x + 6x² - 2x - 15 = 0x² - 2x + 1 = 16 (x - 1)² = 4²x - 1 = ± 4x = 1 ± 4x = 5 ⇒ y = 2*5 + 6 = 16x = - 3 ⇒ y = 2*(-3) + 6 = 0Which inequality represents the compound in
equality x > 3 and x < 5
Answer:love
Step-by-step explanation:
Inequalities and Absolute Value Equations.
x > 3 and x < 5
Inequality Form:3<x<5
Interval Notation:
(3,5)
An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols
What are the 5 inequalities?The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).
Which of the following is an example of compound inequality?Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.
To learn more about inequality, refer
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Can someone help me with this question please..
Answer:
The answer is (3 ,5)
Step-by-step explanation:
Please give brainliest!!!
Answer:
(3,5)
Step-by-step explanation:
order pair of A is (3,5)
3 is x component.
5 is y component.
A six sided number cube is rolled. What is the probability of getting a 2 and then a 1, given that the first number rolled was a 2?
Answer:
1/36
Step-by-step explanation:
P(2 then 1) = 1/6 x 1/6 = 1/36
look at the image and I need help with that
Answer:
A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.
Step-by-step explanation:
A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.
Step-by-step explanation:
So, lets pick apart the expressions.
We know the variables will be unknown values:
3unknown value + 5
We know that a number in front of a variable is multipication, so:
3 times unknown value + 5
We know there is a addition symbol, which means a sum of two numbers.
So:
3 times a unknown value and the sum of 5
5 is just 5, so we can write it as it is.
This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:
3 times a unknown value plus by 5
So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.
Next we have 4(x-2)
So first off, x is our unknown value:
4(unknown value-2)
- is subtraction, so:
4(unknown value subtracted by 2)
2 remains as 2.
4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:
The unknown value subtracted by 2, then multiplied by 4.
I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.
PLEASE HELP ME
Solve:
24t = 72
OA) t= 3
OB) t= 4
OC) t=- 2/1
OD) t= 1/3
Answer:
t =3
Step-by-step explanation:
24t = 72
Divide each side by 24
24t/24 = 72/24
t=3
Answer:
A
Step-by-step explanation:
24 t = 72
divide both sides by 24
Thus, t = 72/24
t = 3
Bye ! :-)
Express 384kg in tones
1 kg= 1000 tonnes
384 kg= 384×1000 tonnes = 384000 tonnes
Step-by-step explanation:
384kg = 0.384 tones!!!!!
Which expression is equivalent to square root 343x^9y^12z^6?
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!
Answer:
pulling a king out of a deck of cards
Step-by-step explanation:
A compound event is more than one thing happening
The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event
Solve the inequality for s:
5s + 2 > 7
Answer:
Answer:
S>1
Step-by-step explanation:
5s + 2 > 7
Subtract 2 from both sides
5s>5
Divide 5 from both sides
S>1
Solution of the inequality is s>1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.
Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.
The inequality sign must be reversed if either side is multiplied or divided by a negative number.
5s+2 > 7
Subtracting 2 on both side,
5s > 5
s>1
Therefore, the solution set of inequality is s>1.
To learn more about the inequality in mathematics;
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If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
Answer:
[tex](f-g)(2)=14[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x^2+1\text{ and } g(x)=1-x[/tex]
And we want to find the value of:
[tex](f-g)(2)[/tex]
This is equivalent to:
[tex](f-g)(2)=f(2)-g(2)[/tex]
Substitute:
[tex]=(3(2)^2+1)-(1-(2))[/tex]
Evaluate:
[tex]=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14[/tex]
Therefore:
[tex](f-g)(2)=14[/tex]
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation:
16 men take 10 days to build 2 bedroom houses. How long will it take 10 men to build 4 bedroom houses?
Answer:
chicken nuggets are good
Step-by-step explanation:
chicken but nuggets who t f thought of this
ILL GIVE YOU BRAINLIEST IF YOU GET RIGHT AND EXPLAIN
An Angle is half of its supplement.What is the measure of its complement?
Answer:
Step-by-step explanation:
That means that its complement is 90 - 40 = 50 degrees. This also means that its supplement is 180 - 40 = 140 degrees. Therefore, a half of its supplement is 70 degrees and when added to the 50 degree complement the total is 120 degrees, just as the problem said it should be.
==========================================================
Explanation:
Let x be the unknown angle
Its supplement is 180-x, since it must add to x to get 180
The angle x is half of the supplement 180-x, meaning,
x = half of supplement of x
x = half of (180-x)
x = (1/2)*(180-x)
x = 0.5*(180-x)
x = 90 - 0.5x
x+0.5x = 90
1.5x = 90
x = 90/1.5
x = 60
The unknown angle is 60 degrees. It's supplement is 120 because 60+120 = 180, and we can see that 60 is half of 120. So that confirms we have the correct x value.
The last step is to find the complement of angle x. We subtract from 90 like so
90-x = 90 - 60 = 30 which is the final answer
As a check, we can see that 60+30 = 90 to show that we have complementary angles.
------------
Extra info:
It might be easy to mix up the terms "supplementary" and "complementary". What helps me remember is that "supplementary" and "straight angle" both start with S. This could be one way to remember that supplementary angles always add to 180.
Also, both "complementary" and "corner" both start with C, which may be one way to remember that complementary angles always add to 90.
