Answer:
15,103.05
Step-by-step explanation:
Total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103.85.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.
The amount in account after 5 years can be calculated with the above formula as,
[tex]A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02[/tex]
The total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103..85.
Learn more about the compound interest here;
https://brainly.com/question/24274034
inverse operation needed
Answer:
it is C.
Step-by-step explanation:
we know,
14+17= 31
so if we subtarct 17 from 31 we get 14
and if we subtract 14 from 31 we get 17
Malia split up The large container of salsa that she bought equally into five balls to place around her house for the party if each bowl contained 8.5 ounces of salsa which shows the correct equation and value of X the total amount of salsa in the original container
Answer:
B. [tex] \frac{x}{5} = 8.5 [/tex]; [tex] x = 42.5 ounces [/tex]
Step-by-step explanation:
Total amount of salsa in container = x
Number of bowl the salsa is divided into = 5
Amount contained by each bowl = 8.5 ounces of salsa
Therefore:
[tex] \frac{x}{5} = 8.5 [/tex] ---› equation
Solve for x
Multiply both sides by 5
[tex] \frac{x}{5}*5 = 8.5*5 [/tex]
[tex] x = 42.5 [/tex]
What is the area of this figure?
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
add 3ft+3ft+11ft+3ft and that's your answer
what is the surface area ?
A. 78
B. 57
C. 50
D. 72
I gave Brainlist you ever answer first
Answer:
A. 78
Step-by-step explanation:
7 x 4 is the bottom and the bottom is the same as the top so I got 28 x 2 which is 56. 4 x 1 is one side. The other side is the same so I got 4 x 2 which is 8. 1 x 7 is the front and back. I got 7 x 2 is 14. i wrote 56 + 14 + 8 and got 78
hope this helps :)
Using the method of proof by contradiction, prove that if a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
Step-by-step explanation:
To prove - Using the method of proof by contradiction, prove that if
a product of two positive real numbers is greater than
1,000,000, then at least one of the numbers is greater
than 1000.
Proof -
For a proof of contradiction , firstly we have to assume that the statement is not true.
Here given statement is - A product of two positive real numbers is greater than 1,000,000.
Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.
⇒both the number are in between 0 to 1000
Let a and b are 2 +ve real numbers.
⇒ab < 1000×1000
⇒ab < 1000000
As given,
ab > 1000000
Contradiction.
Hence proved.
If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
HELP ME.,,,,,,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
Use pythagorean theorem
9^2 +40^2=x^2
81+1600=x^2
1681=x^2
now find the square root of each side
[tex]\sqrt{1681} =\sqrt{x}[/tex]
x=41
victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below
The interquartile range of Victor's lemonade sale is A = 7
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range of sales of Victor's lemonade be A
Now , the equation will be
Let the 75th percentile data = 29
Let the 25th percentile data be = 22
Now , the IQR is calculated by spread between the data's 75th and 25th percentiles
On simplifying , we get
The IQR = 29 - 22 = 7
Hence , the interquartile range is 7
To learn more about interquartile range click :
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The complete question is :
Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.
What is the interquartile range of the data?
Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each collecting a total of $725. Write a system of equations to determine the number of tickets he sold at each price and solve your system of equations?
Answer:
The system is of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
[tex]10g+15r=725[/tex]
And a total of 60 tickets were sold. Hence:
[tex]g+r=60[/tex]
Our system of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
We can solve by substitution. First, divide both sides of the first equation by 5:
[tex]2g+3r=145[/tex]
Next, we can subtract a variable (r in this case) from the second equation:
[tex]g=60-r[/tex]
Substitute:
[tex]2(60-r)+3r=145[/tex]
Distribute:
[tex]120-2r+3r=145[/tex]
Simplify:
[tex]120+r=145[/tex]
Subtract:
[tex]r=25[/tex]
Using the previous equation:
[tex]g=60-r[/tex]
Substitute and evaluate:
[tex]g=60-(25)=35[/tex]
So, 35 general tickets and 25 reserve tickets were sold.
Find the surface area of the regular pyramid. Write your answer as a decimal.
Answer: 7
Step-by-step explanation:
first you calculate the equation, then add everything together
Answer: 241.8
I got you guys ;)
Use properties of operation to write an expression equivalent to y/5 + (y + 4)
Answer:
Step-by-step explanation:
Convert binary 11011.110 to base 10
Answer:
27.75₁₀
Step-by-step explanation:
Convert binary 11011.110 to base 10
11011.110 = 1*2^4 + 1*2^3+0*2^2 + 1*2^1 + 1* 2^0 + 1*2^-1 + 1* 2^-2 + 0
11011.110 = 16+8+0+2+1+1/2+1/4
11011.110 =27 + 3/4
11011.110 = 27.75₁₀
Hence the binary number to base 10 is 27.75₁₀
PLEASE HELP I WILL MARK BRAINLIST
Answer: 1. is b
2. is c
3. is c
4. is B
5, is A i think but im not sure about 5
Step-by-step explanation:
100 POINTS! URGENT PLZ HELP
Select the correct answer. What is the simplified form of 4x√5-2π√5/3√5
[tex]\pink{\bigstar}[/tex] Simplified form [tex]\large\leadsto\boxed{\tt\purple{\dfrac{2 \pi}{3}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-[tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Simplified form⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\sqrt{5} (2 \pi)}{\sqrt{5} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\cancel{\sqrt{5}}(2 \pi)}{\cancel{\sqrt{5}} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\bold\red{\dfrac{2 \pi}{3}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, Option A is the correct choice.
option A.
Step-by-step explanation:
we have
[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]
taking out 2[tex] \pi\sqrt{5}[/tex] common from the numerator
[tex] \frac{2\pi \sqrt{5}(2 - 1) }{3 \sqrt{5} } [/tex]
canceling [tex] \sqrt{5} [/tex] from both numerator and denominator
[tex] \frac{2\pi(1)}{3} [/tex]
hence the answer is option A.
An airline uses many different types of airplanes. Information regarding some of the airplanes is given in the table below.
A 5-column table with 5 rows. Column 1 is labeled Plane with entries SkyBus 280, SkyBus 580, Grigson A-2, Grigson A-5, SkyDancer. Column 2 is labeled Number of seats with entries 120, 225, 70, 130, 350. Column 3 is labeled Seat width (inches) with entries 20.3, 20.6, 19.9, 20.5, 20.2. Column 4 is labeled Wi-fi with entries no, yes, no, yes, yes. Column 5 is labeled first-class seats question mark with entries no, yes, no, no, yes.
Which of the variables is a continuous variable?
number of seats
seat width
Wi-Fi
first-class
Answer:
Step-by-step explanation:
I’m pretty sure it’s seats. If it isn’t that then it’s prolly seat width. Sorry if it’s wring I’m doing the quiz too
Answer:
Seats
Step-by-step explanation:
Cylinders a and b each stated with different amounts of water. The graphs shows how the height of the water changed as the volume of the water increased in each cylinder. Which cylinder has the larger radius? a or b
Solve the inequality.
x + 23 < 37
Group of answer choices
x < 60
x < 14
x < 37
x < 23
Answer:
x = 14
x + 23 < 37 ( move constant to right-hand side and change its sign)
x<37-23 ( subtract numbers)
x < 14
A school principal wants to find out if his school needs more bike racks. A survey is taken of 30 students who
ride their bikes to school. Why might the sample be blased?
Answer: This sample may be biased because he is only asking the bike riders when in reality there might be a majority of students who instead take an alternate form of transportation
Step-by-step explanation:
Which expression is equivalent to 4(m+2)?
Answer:
=4m+8
Step-by-step explanation:
=(4)(m+2)
=(4)(m)+(4)(2)
=4m+8
Answer:
4m +8
Step-by-step explanation:
Take out the parenthesis
help pls thank you
ok byeeee
Answer:
fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS
Step-by-step explanation:
7 divided by 2 = 3.5
3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465
ROUND IT AND GET 38.47
Two angles are called when their measures add to 180 degrees.
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Answer:
That is called a supplementary angle
Step-by-step explanation:
Pls solve this for 40 points and fast
Step-by-step explanation:
1)
10(3) + 2(1) = 32/4 = 8 mph
2)
[3(1.5) + 0.5x]/2 = 4
(4.5 + 0.5x) = 8
0.5x = 3.5
x = 7mph
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.
Right triangle ACB is shown where segment AC is twenty one units, segment CB is seventy two units, and segment BA is seventy five units.
Find sin B and tan B.
Answer:
sinB = 21/75
tanB = 21/22
Step-by-step explanation:
sinΦ = Height / Hypotenuse
tanΦ = Height / Base
Answer:
sin B = 7/25, tan B = 7/24
Step-by-step explanation:
sin = opposite / hypotenuse, tan = opposite / adjacent
Maybe I missed something but all I did was recreate your triangle and solve the trig ratios.
Asha has 3 times as many books as Luna. How many books does Asha have if Luna has "x" books.
Answer:
Asha has 3x books
Step-by-step explanation:
Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x
how many rhombuses in a trapezoid?
PLS HELP WILL GIVE BRAINIEST these figures are congruent
Answer:
C
Step-by-step explanation:
Answer is C, only need to move it up and to the right through translation.
Describe the slope of the line. Then find the slope using two points.
helpp step by step explanation
Answer:
No clueeeeeeeeee
Step-by-step explanation:
Which of the following expressions can be written as 12(y – x)
Answer:
I think it would be -12(x-y)?
Step-by-step explanation:
A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far
will it travel in 12 hours?
Answer:
512.04
Step-by-step explanation:
first you need to find out how many miles it goes in 1 hour so 320 divided by 7.5 which is 42.67
then take 42.67 and multiply it by 12
hope this helps!!
Answer:450
Step-by-step explanation:
Question 7
Find the angle measures of ABCD.
Answer:
find it urself, i give u guide
Step-by-step explanation:
Find the value of the x first
As for now the only info that you have is total of angle in the square is 360°
[tex]360 = 4x - 10 + 3x + 7 + 2x + 3 \\ x = 40[/tex]
Which type of parent function is f(x) = |x|?
O A. Cube root
B. Square root
C. Linear
D. Absolute value
Answer:
D. Absolute value
Step-by-step explanation:
There are absolute value bars around x, so the function is absolute value.
Hope this helps...have a great day ^^