Answer:
$23.20
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 20 × 0.04 × 4 = 3.2
I = $ 3.20
The simple interest accumulated
on a principal of $ 20.00
at a rate of 4% per year
for 4 years is $ 3.20.
Based on the calculations, your balance after four (4) years is equal to $23.2.
Given the following data:
Interest rate = 4% = 0.04.Principal = $20.Time = 4 yearTo determine the balance after four (4) years:
How to calculate simple interest.Mathematically, simple interest is given by this formula:
[tex]I = PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Substituting the given parameters into the formula, we have;
[tex]I=20 \times 0.04 \times 4[/tex]
Simple interest = $3.2.
Balance = [tex]3.2 +20[/tex] = $23.2.
Read more on simple interest here: https://brainly.com/question/24341207
Which rational number equals 0 point 2 with bar over 2
Algebraic expressions can have a variable, operational symbols, and numbers?
true or flase
29 cm
10 cm
8 cm
34 cm
26 cm
39 cm
Find the area.
Answer:
1246 sq cm
Step-by-step explanation:
First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.
34 x 39 = 1326
10 x 8 = 80
1326 - 80 = 1246
Find the average rate of change of f(x)=9x^2-2 on the interval of [1,t]
Answer:
[tex]Rate = 9(t+1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 9x^2 - 2[/tex]
[tex]Interval = [1,t][/tex]
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [1,t][/tex]
So, we have:
[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]
Solve for f(t) and f(1)
[tex]f(t) = 9t^2 - 2[/tex]
[tex]f(1) = 9*1^2 - 2[/tex]
[tex]f(1) = 9 - 2[/tex]
[tex]f(1) = 7[/tex]
So, we have:
[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]
[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]
Factorize:
[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]
Apply difference of two squares
[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]
[tex]Rate = 9(t+1)[/tex]
What is the product of 3.6 x 4.2
How did you find it.
Answer:
15.12
Step-by-step explanation:
3.6 x 4.2
first aline the decmials like you would regularly do to multiply.
Then multiply 2 x 6=12 and then 2 x 3=6 and put them down were you would already do noramly multiplying.
and then muliply 4x6=24 and 4x3=12 and do the same thing as you would do normaly and then add 72 and 144 to get 1512 and then count your decmail placing. which is 2 placeing in total which makes 1512 into 15.12
and now you done!
Example of how it should look...
3 . 6
× 4 . 2
+ 7 . 2
+ 1 4 4
= 1 5 1 2
help please I need help very bad
Answer:
(8,2)
Step-by-step explanation:
the third option
Answer:
i guess (8,2)
Step-by-step explanation:
it's where both lines intercept
Ken ran 2.5 kilometers, 5,250 meters and 75,650 centimeters. how many total meters did Ken run?
Answer:
The answer is 2.77 km.
Step-by-step explanation:
A 98% confidence interval for a proportion is found to be (0.72, 0.78). What is
the sample proportion?
Answer: 0.75 appex
Step-by-step explanation:
The sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
From the data the margin of error = (0.78 - 0.72)/2
MOE = 0.03
98% Confidence interval for a sample proportion:
n - 0.03 = 0.72
n + 0.03 = 0.78
The interval is (0.72, 0.78)
The sample proportion = 0.75
Thus, the sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
Learn more about the confidence interval here:
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Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $224 in interest after 2 years. How much money should he deposit? Can someone help me out I’m kind of struggling
Answer:
$7000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.6%/100 = 0.016 per year,
then, solving our equation
P = 224 / ( 0.016 × 2 ) = 7000
P = $ 7,000.00
The principal required to
accumulate interest of $ 224.00
on a rate of 1.6% per year for 2 years is $ 7,000.00.
help me please people
help pls i'll give brainliest, are they inverses or not explain why or why not
Answer:
no
Step-by-step explain why
because they have to be the same numbers
4.
The probability that I will go sailing today AND the fair six-sided die will come up even on the next roll is .3.
these events are independent, what is the probability that I will go sailing today?
Answer:
Step-by-step explanation:
Let us consider P(A) to be the probability for the fact that I will go for sailing today
Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.
Now, according to the question,
P(A and B) = 0.3
It is known to us that the probability of a die to land with an even number on its side up =
Moreover, we are given with the fact that both P(A) and P(B) are independent.
∴ P(A and B) = P(A) × P(B)
⇒ 0.3 = P(A) × 0.5
⇒ P(A) = = 0.6
Greatest common factor 20x76 and 8x92
Answer:
dont know this one my apologies
help plz plz plz
Pentagon ABCDE is similar to pentagon RSTUV . The perimeter of pentagon ABCDE is 36.8 centimeters.
What is the length of ST ?
19.8 cm
18 cm
25.8 cm
15 cm
Answer:
ST = 15 cm
Step-by-step explanation:
find BC first by adding four other sides and subtracting from 36.8
sum of 4 sides is 30.8, so BC = 6
Now find ST by creating a proportion from corresponding sides:
BC / ST = DE / UV
6 / ST = 13.2 / 33
Cross-multiply:
13.2ST = 198
ST = 198/13.2
ST = 15
A coffee shop sells 5 different types of cake and 6 different kind of drinks. Ruby wants to order a cake and a drink. How many different combinations of cake and drink could she choose?
Answer:
She could choose 30 different combinations of cake and drink
Step-by-step explanation:
A coffee shop sells 5 different types of cake and 6 different kind of drinks.
This means that:
For each type of cake, there are 6 different kind of drink.
At all, there are 5 different types of cake.
So
6*5 = 30
She could choose 30 different combinations of cake and drink
Given the following triangle, determine the measure of angle B to the nearest
degree
pls this is due soon helopppp
Evaluate -2x^2y, if x = -3 and y=-1.
-12
18
12
-18
Answer:
Option A is your answer
please i’ve been stuck on this for days i need help
Answer:
x=12, y=9, z=7, w=3
Step-by-step explanation:
When a card is selected from a deck, find the probability of getting a. A club b. A face card or a heart c. A 6 and a spade d. A king e. A red card
Answer:
Kindly check explanation
Step-by-step explanation:
Number of clubs = 13
Number of face cards = 12
Number of hearts = 13
Number of King's = 4
Number of reds = 26
Number of spade = 13
Number of 6's = 4
Total possible outcomes = total number of cards = 52
Probability = required outcome / Total possible outcomes
1.) P(A club) = 13 / 52
2.) P(face card or heart) =
p(face card) + p(heart)
12 / 52 + 13/52
= (12 + 13) / 52 = 25 /52
3.)
(A 6 and a spade)
4/52 * 13/52
= 52 / 2704
= 1/52
4.) A king
P(king) = 4 /52 = 1/13
5) A red
P(red) = 26 / 52 = 1/2
What's the correct formula for this function?
Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
The correct anwer is (C) : y = - 2x + 3
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
Can someone help me find the value of n? For this problem
Answer:
n = 129
Step-by-step explanation:
Reference angle = 60°
Hypotenuse = n
Adjacent side = 64.5
Apply CAH, which is:
Cos 60 = adj/hyp
Cos 60 = 64.5/n
Multiply both sides by n
n×Cos 60 = 64.5
Divide both sides by cos 60
n = 64.5/Cos 60
n = 64.5/0.5
n = 129
Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.
Answer:
Diana's score is better.
Step-by-step explanation:
In Diana case :
Score = 92
Mean score , μ = 71
Standard deviation σ = 15
So,
P( x ≥ 92 ) = 1 - P( x ≤ 92 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )
= 1 - P( z ≤ 1.4 )
= 1 - 0.9192
= 0.0808 = 8.08 %
⇒P( x ≥ 92 ) = 8.08%
∴ we get
Diana score is > 91.92% other students in the class.
In Micheal case :
Score = 688
Mean score , μ = 493
Standard deviation σ = 150
So,
P( x ≥ 688 ) = 1 - P( x ≤ 688 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )
= 1 - P( z ≤ 1.3 )
= 1 - 0.9032
= 0.0968 = 9.68 %
⇒P( x ≥ 688 ) = 9.68%
∴ we get
Micheal score is > 90.32% other students in the class.
From both scores , we can conclude that
Diana's score is better.
Grayson is going to invest $710 and leave it in an account for 17 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Grayson to end up
with $920?
Answer:
1.52%
Step-by-step explanation:
ꕥ Easy question! ꕥ
——————————————
What's the distance between (-4, 2) and ( 0, 2)?
——————————————
Please hurry T-T
Answer:
4
Step-by-step explanation:
since they are both on the same y coordinate, you have to count from -4 to 0, and that is 4
are they cute ? say yes it’s 100 points
Answer:
they all are super cute.
yes! thanks for free points.
Solve for x. + 9 = 30 x = 18 x = 24 x = 34 x = 44
Answer: 11 = x
Step-by-step explanation:
Help me out here ✏️ Mathematics
Answer:
it's definitely F .. Your welcome
The graph shown below displays the change in the average temperature of the world over time.
Which statement is the best description of the association between these variables?
Choose 1 answer:
A: As time went by, the average temperature tended to increase.
B: As time went by, the average temperature tended to decrease.
C: There is no clear relationship between time and average temperature.
Answer:a
Step-by-step explanation: you can clearly see that the points are going up
As time went by, the average temperature tended to increase.
What is scatter plot?A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.
Given is the graph shown below displays the change in the average temperature of the world over time.
The scatterplot has a positive correlation. This means that as time went by, the average temperature tended to increase.
Therefore, as time went by, the average temperature tended to increase.
To solve more questions on scatterplots, visit the link below -
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