Step-by-step explanation:
There are 6 faces in a die 3 is an even no.
So, probability of getting 3 is
3/6=1/2 Answer
hope it helps...
please help im stuck on this
Answer
The slope is 2
Step-by-step explanation:
Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1
% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?
Answer:22215
Step-by-step explanation: got it from delta math
After 16 years Angel would have amount $22942 more money in his account than Jackson.
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,
Investment of Jackson, p = $81000
Rate of interest, r = 6 1/2%
⇒ [tex]6.5\% = 0.065[/tex]
Interest is compounded monthly, so n = 12
Number of years, T = 16
Investment of Angel, p = $81000
Rate of interest, r = 7 1/8%
⇒ [tex]7.125\% = 0.07125[/tex]
Interest is compounded quarterly, so n = 4
Number of years, T = 16
The formula of amount in compound interest is
[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]
Jackson's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]
⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]
⇒ [tex]A=81000(1.0054)^{192}[/tex]
⇒ [tex]A=81000(2.8123)[/tex]
⇒ [tex]A=227798.13[/tex]
Angel's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]
⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]
⇒ [tex]A=81000(1.0178)^{64}[/tex]
⇒ [tex]A=81000(3.0955)[/tex]
⇒ [tex]A=250739.62[/tex]
After 16 years, how much more money would Angel have in his account than Jackson is
⇒ [tex]250739.62-227798.13[/tex]
⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]
Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.
Learn more about compound interest here
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Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
Which of these are statistical questions? Select all that apply.
A. Do you walk or get a ride to school?
B. How many text messages do you send during one week
C. How many months away is your birthday
D. Do you live within three blocks of the school?
E. Do you like sports?
Answer:
Step-by-step explanation:
Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!
Step-by-step explanation:
3x+11=57
subtract 11 from both sides and you will get this
3x=46
Divide by 3
42/3. 3/3
X=14
Answer:
15.333
Step-by-step explanation:
3x+11=57(y)
reverse the question
so:
57-11=46
46 divided by 3=15.333
so x=15.333
hope that helps
thank you
19NBoli
The choises are
4.2
4.25
4.5
4.8
Answer:
The answer would be 4.5
what is 1 1/3 as a single fraction
Answer:
Step-by-step explanation:
The mixed number 1 1/3 is equal to the improper fraction 4/3.
Answer:
4/3
explanation:
What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon
Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)
5.3d = 42.4
pls help
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor out 3.
3(x+2)
These students that fail a single time, will withdraw (drop) from the program the month following their failure; ex. J. Doe fails Month 3, J. Doe withdraws before the start of Month 4.
what is 500 / 60 x 70
Answer:
583.3
Step-by-step explanation:
write the sum 3+3+3+3+3+3 using sigma notation
Answer:
18
Step-by-step explanation:
The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
What is sigma notation?A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.
According to the question
The sum 3+3+3+3+3+3
Represent the sum as sigma notation
[tex]\sum_{i=1}^{6}3[/tex] start at 1 and goes up to 6
= 3+3+3+3+3+3
Hence, the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
To know more about sigma notation here:
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What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180
Answer:
n=11
Step-by-step explanation:
(11-2) 180
9×180=1620
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m
Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27
Answer:
:::::::::
C. 6:7 = 18:21
answer: it is C
Step-by-step explanation:
6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.
hope it helps :)
What is the formula of the surface area solved for r?
Answer:
Option CStep-by-step explanation:
It is the correct answer I explained in your next question
If f(x) = (x – 2, then find f(-3).
10 divied by 1 half of 3
Answer: 6.66 repeated
Step-by-step explanation:
10 divided by 1.5 will give you 6.66 repeated
Answer:
1/3 divied by 10 =1/30
1/3 divided by 10= 0.333333
Step-by-step explanation:
decimal form is o.3333333
fraction form is 1/30
have a good day /night
may i please have a branllist
help please thanks plsss
Answer:
A
area = 256 inches²
side = √256 = 16 inches
B
0.0063 inch = 6.3 × 10^-3
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
HELP MEEE PLSSSS CHOOSE IF YOU ARE GOING TO HELP POEASE CHOOSE TWO
Answer:
C) 12(5-3w) and A) 6(10-6w)
Step-by-step explanation:
60-36w=12(5-3w)
60-36w = 60+ -36w
Answer:C
Step-by-step explanation:
Use the diagram to fill in the blanks
x=
m∠=
Answer:
x = 21, m∠A = 23°, the measure of angle in the right = 67°
Step-by-step explanation:
The angles of a triangle sum up to 180°.
Right angles equals to 90°.
Thus, (2x - 19)° + (3x + 4)° + 90° = 180°
=> 5x + 75 = 180
=> 5x = 105
=> x = 21
m∠A=> 2(21) -19 = 23°
the measure of angle in the right=> 3(21) + 4 = 67°
Twenty-four out of the forty pies at a bake sale are coconuts pies. What
percent of the pies are coconut?
Answer:
60%
Step-by-step explanation:
Total number of pies = 40
Number of coconut pies = 24
Percentage of coconut pies :
(Number of coconut pies / total number of pies) * 100%
(24 / 40) * 100%
0.6 * 100%
= 60%
60% of pies are coconut pies
When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.
Answer:
Its normal value would be 50 beats per minute.
Step-by-step explanation:
20% = 10bpm
40% = 20bpm
60% = 30bpm
80% = 40bpm
100% = 50bpm
Please help! *no links* GIVING BRAINIEST
Answer:
6. -1
7. [tex]\pi \\[/tex]
8. 2.16
9. -7
10. [tex]\sqrt{144}[/tex]
11.-7.65091254...
12. 4
Step-by-step explanation:
PLEASE HELP ME THE QUESTION IS ON THE PICTURE!!!!!
The Wiggins Family ate dinner at a restaurant. The total cost of the meal was $85.60. The family left a 15% tip for the waiter. How much money was the total bill? (Make sure you type your answer using $ and the decimal)
Fast please
Answer:
$98.44
Step-by-step explanation:
You already know how much the actual dinner was so all you have to do is figure out how much 15% of the $85.60 is which is $12.84 meaning that they left a tip of $12.84 for the waiter. Then you would just add the cost of the dinner with the tip to get the total amount they spent. $85.60 + $12.84 = $98.44. So the total amount the Wiggins spent is $98.44