Answer:
$22,200 over all
Step-by-step explanation:
The compound interest after 20 years is $22700.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
The principle, p = $10,000
Rate of interest, r = 6.1% = 0.061
Compounded continuously, n = 1
Number of years, T = 20
The amount formula of compound interest is
[tex]A=p(1+\frac{r}{n} )^{T}[/tex]
On substituting the above values,
⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]
⇒ [tex]A=10000(1.061)^{20}[/tex]
⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]
The compound interest can be calculated as
[tex]CI=A-P[/tex]
⇒ [tex]CI=32682-10000[/tex]
⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]
Hence we can conclude that the compound interest after 20 years is $22700.
Learn more about compound interest here
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Find the value of 4!
O A. 24
O B. 16
O C. 12
O D. 10
Answer:
A) 24
Step-by-step explanation:
4!
4 x 3 x 2 x 1
24
Daniella earns a 7.5% commission on everything she sells at the electronics store where she works. How much did she earn last week if she sold $3,500 in electronics merchandise
Answer:$262.50
Step-by-step explanation:3500x.075=262.5
Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?
A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²
I know that the area is 8π² I just don't know which answer choice it is.
Answer:
C.
Step-by-step explanation:
Radius = 16 ÷ 2 = 8
[tex]\frac{45}{360} *8^2*\pi =25.1[/tex] (3sf)
You can first find the total area of the circle which is [tex]64\pi[/tex].
Then, you can find the area of the slice of the pizza, if you take the ratio of the angle it creates with the total angle of a circle (360.)
For example, a semicircle's are would be [tex]\frac{180}{360} *8*\pi[/tex].
Answer:
C. 25.1 in²
Step-by-step explanation:
Hope this helps
pleasssseee helpppppp ill give brainly (if you send a link ill report you)
Answer:
sorry i am trying but i don't know what to do
Step-by-step explanation:
Answer:
The answer is 10.4 :)
Step-by-step explanation:
125 + 5 x 10.4 will give you your 180 degree angle, therefore 10.4 should be the correct answer! Hope I could help <3
Help please, I’ll give you brainliest
Answer:
12
Step-by-step explanation:
24. A total of 540 beads are shared in the ratio 4:5. The LARGER share of beads is
(A)60
(B) 240
(C) 300
D)432
Answer:
C
Step-by-step explanation:
PLSSS HELP (What are the square roots of 25?)
Answer:
5
Step-by-step explanation:
5*5=25
Answer:
The square root of 25 is 5, -5
Step-by-step explanation:
5 minuets left plz help
Answer:
I don't know this one exactly but I believe it would be 90 since the plot isn't moving a lot, it's not really an exact answer but I believe that one would be right!
Step-by-step explanation:
10.What kind of circle would you need and which direction would the arrow go if you graph x < 1.5 on a number line?
closed circle, arrow goes right
open circle, arrow goes right
closed circle, arrow goes left
open circle, arrow goes left
Mr. Mastrogiacomo is testing the hypothesis that the proportion of households in a large town that have high-speed internet service is equal to 0.7 against the alternative that the proportion is different from 0.7. What is the chief advantage of using a confidence interval to test this hypothesis rather than a significance test
Step-by-step explanation:
You can use a confidence interval (CI) for hypothesis testing. In the typical case, if the CI for an effect does not span 0 then you can reject the null hypothesis. But a CI can be used for more, whereas reporting whether it has been passed is the limit of the usefulness of a test.
Find the measure of the indicated angle to the nearest degree
Answer:
A) 18°
Step-by-step explanation:
To find the measure of the indicated angle, we can use trigonometric ratios.
Looking at the triangle, we can see that we are given the lengths of the two legs of the triangle, but not the hypotenuse. Since we are not given the hypotenuse, the sine and cosine ratios would not work since both of them require the length of the hypotenuse. We can use the tangent ratio, since it only requires the lengths of the two legs. Remember:
[tex]tan(?)=\frac{opposite}{adjacent}[/tex]
From looking at the image, we can see that the length of the side opposite to the angle is 3, and the length of the side adjacent to the angle is 9. Thus, we can use 3 as out opposite and 9 as out adjacent:
[tex]tan(?)=\frac{3}{9}[/tex]
Now we solve for ?. Lets take the inverse tan of both sides to get rid of the tan on the left side:
[tex]?=tan^{-1}(\frac{3}{9})[/tex]
And we get:
? ≈ 18.4349488° ≈ 18°
So the answer would be 18°, or A.
I hope you find my answer to be helpful. Happy studying.
Work out 69% of 102.16m
Give your answer rounded to two Decimal Place
Answer:
70.49
Step-by-step explanation:
Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.
69% of 102.16
= (69 / 100) * 102.16
= 0.69 * 102.16
= 70.4914
~ 70.49
Answer:
70 ( to 2.d.p)Step-by-step explanation:
[tex]69\% \:of \:102.16m\\\\\\\mathrm{Convert\:}69\%\mathrm{\:into\:a\:decimal\:\\and\:multiply\:by\:}102.16\\69\%\:=\frac{69}{100}\\=0.69\\\\\mathrm{Multiply\:}0.69\mathrm{\:by\:}102.16\\\\=0.69\times\:102.16\\\\=70.4904\\\\=70[/tex]
please help me and i need the solving to
thank you
Answer:
<2 would also be 55°
Step-by-step explanation:
this is because the angles are congruent. but im not 100% sure
Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across
the x-axis to create Point F', what will the coordinates of F be?
Find the slope of the line that passes through the following points: `\left(\frac{2}{5},\frac{2}{3}\right)\ \ \left(-\frac{4}{9},\frac{3}{5}\right)` Show the work/explain!
Answer:
3/50
Step-by-step explanation:
Slope m = y2-y1/x2-x1
From the coordinate
x1 = 2/5, y1 = 2/3, x2 = -4/9 and y2 = 3/5
Substitute;
m = (3/5 - 2/3)/-4/9-2/3
m = (9-10/15)/(-4-6/9)
m = -1/15/-10/9
m = -1/15 * -9/10
m = 9/150
m = 3/50
Hence the slope of the line passing through the points is 3/50
What is the product of w - 3 and w^2 + 8w + 1
Answer:
− 3 w 2 + 9 w + 1
PLZ I NEED HELP NOW!!!!!!!
Answer:
D
Step-by-step explanation:
Answer:
20 divided by 2 = 10
10 x 1/4 = 10/4 = 2 2/4 = 2 1/2
John has 8 different flags that he wants to hang on the wall. How many different ways can the flags be arranged in a row?
Answer:
40,320 different ways
Step-by-step explanation:
Here, we want to arrange 8 flags in a row
In the row, there will be 8 places
The first place has 8 flags to be chosen from
The second place has 7 and like that
So mathematically, the number of ways that we can arrange the flags is 8 factorial ways
We have this as:
8! = 40,320 different ways
What is the solution to the proportion?
3/7 = w/42
Answer:
Step-by-step explanation:
I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HELP ME :D
Answer:
1. 68
2. 22
3. 9
4. 7
Step-by-step explanation:
hahsidijdkejeje
You have a triangle with one 70 degree angle and one 40 degree angle. What is the measure of the other angle? A) 40 degrees B) 70 degrees C) 60 degrees D) 180 degrees
Answer:
B) 70 degrees
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
We are given 2 angles in the triangle = 70° and 40°
The measure of the third angle is
180° = 70° + 40° + 3rd Angle
3rd Angle = 180° - ( 70° + 40°)
= 180° - 110°
= 70°
The measure of the other angle is 70°
Option B is the correct option.
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue
It's Homework #1: Odds
Answer:
1/5 ; 7/10
Step-by-step explanation:
1) We have 10 letters, G and B are two letters, so the answer is 2/10, that can be simplify in 1/5
2) we have 7 parts black or white. The total parts are 10, so the answer is 7/10
Part A: How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer.
(5 points
a swimming pool is 8 m long 8 m wide 8 m deep the water resistant paint needed for the pool cost $6 per meter what is the surface area of the pool that needs to be painted
Answer:
Two walls are 6*2
Multiply, add the products, round UP and multiply times 6.
NOTE: Why round up? because if you need, for example, 1.22 gallons, you have to get 2 gallons. If you buy just 1 you'll be short, and you can't buy 0.22 of a gallon.
Make x the subject of the formula
X + p = q
Answer:
p+q=x
Step-by-step explanation:
pls help ill give brainliest if correct
no scams or links
Answer:
3rd one. Amsterdam is the same distance from sea level as Drachten.
Step-by-step explanation:
because Amsterdam is 2 below, and drachten is 2 above, but they are both 2 meters away from the sea level.
You are working on a banner for Friday's pep rally. The length of the banner is 3 times the width. The length is 15 feet. What is the width?
Answer:
5 feet
Step-by-step explanation:
15/3 = 5
If Sally has 8 apples and she cuts them up and put them in the blender and drinks it
an throws it up and gives it to her friend what is the simplified
proportional divided by 3 if its blue?
___________________________________________________________JK XD
I'm tryna learn 7 Languages would anybody be willing to teach me?
1.Korean
2.Japanese
3.Spanish
4.Portuguese
5. Haitian Kreole
6. French
7. Cantonese ( If possible that's more harder than the math question I gave you)
____________________________________________________
Grades are coming soon i'm stressed what 65 x 89 - 9 + 7?
Answer:
What a question
Step-by-step explanation:
I speak Thai but doubt I can teach you
Answer:
5783 and 8/3
Step-by-step explanation:
65 x 89 - 9 + 7 then simplify and came up with 5783. and for the main question the answer is 8/3.and I only know little bit about Spanish only sorry here is all that I know about Spanish Uno is one in Spanish Dos is two on Spanish Tres is three in Spanish Cuatro is four in Spanish Cinco is five in Spanish Seis is six in Spanish Siete is seven in Spanish Ocho is eight in Spanish Nueve is nine in Spanish Diez is ten in Spanish and also Hola is hi and hello in Spanish and last but not least Amigos is friends in Spanish. oh in Thai hello is Sawadee.
NEED HELP ASAP
Camille runs every morning before school. On Monday, she ran 2.36 miles. On Tuesday, she ran 4.88 miles. On Wednesday, she ran 3.19 miles. After she ran on Thursday, her total mileage for the week was 12.81 miles. How many miles did she run on Thursday?
Answer: 2.38
Step-by-step explanation:
Okay so first you add up all the mileage from Monday-Wednesday. After you do that, subtract that number from 12.81 which will give you your answer
Hope this helps :)
Finish solving the equation -13y + 33 = 7.
Answer:
y = 2
Step-by-step explanation:
-13y + 33 = 7
add -13y to each side of the equation:
33 = 13y + 7
subtract 7 from each side:
13y = 26
divide both sides by 13:
y = 2