Answer:
$160
Step-by-step explanation:
Step one:
given data
Principal = $2000
rate= 8%
time t= 1 year
Required
The Simple interest paid after 1 year
Step two:
Simple interest = PRT/100
Simple interest = 2000*8*1/100
Simple interest = 16000/100
Simple interest =$160
The simple interest paid after 1 year is $160
True or False.
If
F(x) = ∫ -23x sin(t) dt
then the second fundamental theorem of calculus can be used to evaluate F '(x) as follows
F '(x) = sin (3x)
Answer:
False.
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Integration
IntegralsDefinite IntegralsIntegration Constant CIntegration Rule [Fundamental Theorem of Calculus 2]: [tex]\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle F(x) = \int\limits^{3x}_{-2} {sin(t)} \, dt[/tex]
Step 2: Differentiate
Chain Rule: [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot \frac{d}{dx}[3x][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3\frac{d}{dx}[x][/tex]Basic Power Rule: [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3x^{1 - 1}[/tex]Simplify: [tex]\displaystyle F'(x) = 3\frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt][/tex]Integration Rule [Fundamental Theorem of Calculus 2]: [tex]\displaystyle F'(x) = 3sin(3x)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
help will give brainliest
Answer:
A the first one
Identify the GCF that was factored out of the polynomial -7t2 -42t -49
Answer:
-7
Step-by-step explanation:
You could take out a factor of -7.
-7t²/-7 = t²
-42t/-7 = 6t
-49/-7 = 7
So the GCF is -7.
PLEASE PLEASE HELP I STG IVE BEEN ASKING THE SAME QUESTIONS FOR SO LONG AND NOONES ANSWERING ITS DUE SOON im just gonna fail tbh
Answer:
3) 5/2
Step-by-step explanation:
5x - 2y = 20
(First, put it in slope intercept form: y = mx + b).
5x - 2y - 5x = 20 - 5x --> Subtracted 5x on both sides of the equation
- 2y = -5x + 20 --> Simplified
-2y/-2 = (-5x + 20)/-2 --> Divided by -2 on both sides
y = 2.5x - 10 --> Simplified
Since formula is, y = mx + b, then:
m (slope): 2.5
b (y-intercept): -10
Therefore, the answer is 3) 5/2
Hope this helped! <3
Let's solve for y.
5x − 2y = 20
Step 1: Add -5x to both sides.
5x−2y+−5x=20+−5x
−2y=−5x+20
Step 2: Divide both sides by -2.
−2y/−2 = −5x + 20/−2
y = 5/2x − 10
Answer:
y = 5/2x − 10
Slope = x, therefore, the slope = 5/2.
Pls helppp and thank you
Answer:
∠ 2 = 60°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles fro 180° for ∠ 2, that is
∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°
Work out the value of angle X
Give reasons for your answers
Pls reply asap
Answer:
x = 60
Step-by-step explanation:
The value of x is 60
firstly, what we have is an equilateral triangle
For an equilateral triangle, the measure of the angle is 60
Now, looking at one of the angle at the base, we can see that the measure of angle x is an alternate angle to one of the angles at the base
PLEASE HELP I WILL GEIVE BRAINLIEST AND 20 POINTS Which are characteristics of scientific questions? Check all that apply.
asking about subjective matters
having a wide focus on many topics
addressing a gap in knowledge
possibly leading to a testable hypothesis
already having fully confirmed explanations
Answer: 3 and 4
Step-by-step explanation: I took the quiz
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead?
The theoretical probability of selecting a rough bead is 1/2.
Total number of beads = 52
Number of rough beads = 26
Number of smooth beads =26
What is the probability?Probability is the measurement of possibilities.
P(event) = favorable outcomes/total outcomes
P(rough) = number of rough beads/ total beads
P(rough) =26/52
P(rough) =1/2
Therefore, the theoretical probability of selecting a rough bead is 1/2.
To get more about probability visit:
https://brainly.com/question/24756209
Answer: 1/2
Step-by-step explanation:
If you want to show an increase to the original quantity, how could you change the bar diagram?
Answer:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
Step-by-step explanation:
What is JL ? KM=12
JM=16
Answer:
D. 25
Step-by-step explanation:
By geometric mean property:
[tex] {(12)}^{2} = LM\times JM \\ \\ 144 = LM\times16 \\ \\ LM = \frac{144}{16} \\ \\ LM = 9 \\ \\ [/tex]
JL = JM + LM = 16 + 9 = 25
per
(in meters)
3.23
3.18
3.22
3.19
Answer:
Can you please be more specific what do I convert it to.
Step-by-step explanation:
I GIVE A BRAINLIEST I DO ANYHTING JUST HELP
The lines graphed below show the amounts of water in two tanks as they were being filled over time.
For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes.If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
Answer:
(100,0.5)
Step-by-step explanation:
Unit Rate: k=200x
Eddy had 95 updates on his online profile last time he logged in. Every time he logs on he gets 43 more updates. How many times has he logged in if he has had 396 updates
Answer:
396 - 95 = 301
301/43 = 7
7 + 1 = 8
he logged in 8 times if you count the original log in where he had 95
A bag contains five red marbles and six blue marbles. Another bag contains five green marbles and five yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.
HELP ME PLEASE!!!!
Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
A.(9x)^4-1^2
B.(9x^2)^2-1^2
C.(9x)^4-1^4
D.(9x)^4-1^2
Answer:
B
Step-by-step explanation:
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
In a recent survey, 60% of dads prefer to watch football on TV. 40% prefer to watch basketball. If 200 dads were surveyed, how many more preferred football to basketball?
Given :
60% of dads prefer to watch football on TV.
40% prefer to watch basketball.
To Find :
If 200 dads were surveyed, how many more preferred football to basketball.
Solution :
Number of dad prefer football over basketball is :
[tex]N = 200\times \dfrac{60}{100}\\\\N = 120[/tex]
Therefore, 120 dad's prefer football over basketball.
What is the RANGE of this input/output table???
Answer:
yes
Step-by-step explanation:
which graph is correct for the equation
Answer:
I think the answer is C.
Step-by-step explanation:
What is the length for this question?
Answer:
I believe it would be 3.5
Step-by-step explanation:
2 is half of 4, the measurement for that same side on the connected triangle, by that logic, x would be half of 7.
7 ÷ 2 = 3.5
Answer:
i think it is 9
Step-by-step explanation:
.
Shaneya purchased a membership to play basketball at her local gym. The membership costs $75 for the year, plus she pays $3 to rent equipment each time she goes. If Shaneya doesn't want to spend any more than $150 on basketball for the year, what is the maximum amount of times can she go to the gym to play?
Answer:
25
Step-by-step explanation:
Step one:
given data
We are told that Shaneya purchased a membership to play basketball at her local gym.
Costs = $75 for the year,
Rent = $3 for equipment each time she goes
Given that she has $150 to spend,
Step two:
Firstly, let us model the situation
let the total amount she has to spend be y
and the number of time she goes to the gym be x
y= 75+3x
for y= 150, let us find the value of x
150= 75+3x
150-75= 3x
75= 3x
divide both sides by 3
x= 75/3
x=25 times
The maximum amount of times is 25
The radius of a circle is 1 centimeter What is the circle's area?
Answer: It would be A= 3.14cm²
Step-by-step explanation:
help pls , thank you for all who comment ! <3
Answer:
I think 23 yards
Step-by-step explanation:
not confirm
13 = -2 ( y - 4 ) + 3y
Answer:
5
Step-by-step explanation:
13 = -2y + 8 + 3y
13 = y+8
y = 5
Describe and correct the error in using properties of parallelograms.
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
What is the value of 3/5÷9/2
Answer:
1/30
(Decimal: 0.033333)
Step-by-step explanation:
Answer:
2/15
Step-by-step explanation:
Hope this helps!
what percent of a is b
Answer:
I didn't receive enough information about this, but I hope this helps?
Step-by-step explanation:
A 50%?
B 50%?
This problem needs more information. :3
Sarah and $600 per week and spends 15% of earnings on transportation how much does Sarah Spain and transportation every week plz this is very important
Answer she spent 90$ so she should have 510 dollars left
Step-by-step explanation:
15% of 600 is 90. 90-600=510
How much would your total be if you bought 5 lbs of apples
and 4 lbs of oranges?
Answer:
So apples would cost $2.95 and oranges would cost $1.92 then you would add those two together to get $4.87.
Step-by-step explanation:
Apples you would do 0.52×5 and get $2.95 and for oranges you would do 0.48×4 to get $1.92, then you just add the two numbers together.
Pls explain how you got the answer also ☺️
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250
