Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
Write the ratio as a percent.
In a survey of 100 full-time students at a certain college, 62 were employed at least part-time.
Answer:
62%
Step-by-step explanation:
This one's easy to solve as a percentage because the total number was 100 to begin with. Simply divide the number of employed students by the total amount of students, 62/100, which gets 0.62, or 62%.
1) Diego drank x ounces of juice. Lin drank 1/4 less than that
2) Lin ran x miles. Diego ran 3/4 more than that
3) Diego bought x pounds of almonds Lin bought 1/4 of that
(Drag and drop plz help)
Answer:
Follows are the solution to this question.
Step-by-step explanation:
Please find the solution file for the question in the attachment.
i giveeee brainllstttt
Answer:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj\jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
PLEASE ANSWER
(x + )^2 =
Answer:
x^2 = x * x
Step-by-step explanation:
I think you might be missing a number but if not then this is the answer
You have $4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters. How much of each coin do you have?
show work
PLEASE I NEED HELP ASAP
Answer:
13 quarters and 21 nickels
Step-by-step explanation:
In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.
0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)
0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)
0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)
0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)
0.3x = 3.9 (Divide both sides by 0.3)
x = 3.9/0.3 (Divide 3.9 by 0.3)
x = 13
Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.
Substitute x for 13 in the equation to see if this is true.
0.25(13) + 0.05(13 + 8) = 4.3
3.25 + 0.05(21) = 4.3
3.25 + 1.05 = 4.3
4.3 = 4.3
So, x is 13.
There are 13 quarters and 21 nickels do we have.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
$4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters
0.25x + 0.05(x + 8) = 4.3
Apply distributive property
0.25x + 0.05x + 0.4 = 4.3
0.3x + 0.4 = 4.3
Subtract 0.4 from both sides
0.3x = 4.3 - 0.4
0.3x = 3.9
Divide both sides by 0.3
x = 3.9/0.3
x = 13
Hence, there are 13 quarters and 21 nickels we have.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
The half-life of a radioactive isotope is 140 days. In how many days does the decay rate of a sample of this isotope decrease to one fourth its initial decay rate? A) 35 days B) 70 days C) 105 days D) 210 days E) 280 day
Answer:
It mus be 70 because you half 140 hence its called 'half life'
Найдите подходящее число, на которое можно разделить обе части уравнения и найти решение уравнения
3x = 12 | :
x =
5x = –10 | :
x =
–7x = 21 | :
x =
0,1x = 2 | :
x =
0,01x = –4 | :
x =
Answer:
Смотрите в объяснении.
Step-by-step explanation:
x=4
x=-2
x=-3
x=20
x=-400
Надеюсь, это помогло! :)
1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)
Answer:
Force = mass * acceleration
Acceleration = force/mass
As force increases, acceleration increases.
As mass increases acceleration decreases
Step-by-step explanation:
what are the measures for 1 and 4
Answer:
1: 90
4:90
Step-by-step explanation:
Answer: 110
Explanation: all 3 angles have to add up to 180.
Both the right and left angles are the same and since the left angle is 35 degrees we can safely conclude the right angle is as well, so all you have to do is is both of the 35 degree angles together which gives you 70, then subtract it from 180. 180-70=110 so that is the angle of 1. and since the bottom and top are the same the angle of 4 is also 110
Linear or not linear PLZZ HELP ME :(
Answer:
B is the only one that is linear
Step-by-step explanation:
Answer:
no yes no no
Step-by-step explanation:
Linear means straight line and from the other equations they have exp.: ^2 ^3 which makes the line not straight si. you have to find a straight lined problem (:
Which expression is equivalent to
4 • 7 + (3 + (-3))?
A. 4 • 7 + 3
B. 4 • 10
C. 4 • 7 + 1
D. 4 • 7 + 0
Answer:
4 • 7 + ( 3 + ( -3) ) is equivalent to D. 4 • 7 + 0
Hope it helped ❤
Keenan is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 118-yard warmup and then swim laps in a lane that is 41 yards long. If Keenan swims at the indoor pool at his gym, he will complete a 154-yard warmup, plus a main set that consists of 32 yards per lap. If Keenan swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take? How long will Keenan's workout be in total?
9514 1404 393
Answer:
4 laps282 yardsStep-by-step explanation:
For n laps, the length Keenan swims in the rec center pool is ...
118 + 41n
and the length he swims in the gym pool is ...
154 +32n
These are equal length for equal numbers of laps, so we have ...
118 + 41n = 154 + 32n
9n = 36 . . . . . . . . . . . . . subtract 32n+118
n = 4 . . . . . . . . divide by 9
Then the length of Keenan's workout is ...
118 +41(4) = 282 . . . . yards
It will take 4 laps to make the workout total 282 yards in each pool.
help me plss!!!! thank you!!!!
A factory makes lightbulbs. The probability that a bulb is defective is If
300 lightbulbs are tested, about how many are expected to be defective?
Answer:
20, I believe because 300 x 1/5 is 20
not 30
not 15
not 66
The AL east baseball division has 5 teams how many different ways can they finish 1st through 5th?
Answer:
25
Step-by-step explanation:
5 * 5 = 25.
5 Different teams, 5 different places, multiply the numbers of each together and you get how many different ways.
I hope this helps!
Please help!!
Point M is between L and N. LN = 23 and MN = 3. Find LM.
Answer:
[tex]LM = 20[/tex]
Step-by-step explanation:
Given
[tex]LN = 23[/tex]
[tex]MN = 3[/tex]
Required
Find LM
Because M is between L and N, then
[tex]LN = LM + MN[/tex]
Substitute values for LN and MN
[tex]23 = LM + 3[/tex]
Collect Like Terms
[tex]LM = 23 - 3[/tex]
[tex]LM = 20[/tex]
Find the value of x.
Answer:
x = 26
Step-by-step explanation:
If angle a and b are congruent, then set 68 and 4x + 8 together to equal to 180 on the right side. Combine 68 and 8 together to get 76. Then, subtract 76 on both sides to get 104 on the right side. Divide that number by 4 to get your x-value which is 26.
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Answer:
2
Step-by-step explanation:
To find the scale factor of a dilation, we first find two corresponding sides. For example, the leftmost side of the black shape corresponds with the leftmost side of the blue shape. The side on the black shape measures 2 units while the side on the blue shape measures 4 units.
Now, we divide the length of the side taken from the figure by the length of the side taken from the original shape.
4/2=2
Therefore, the scale factor of the dilation is 2.
I hope this helps!
Answer:
15- =18/ 1678s 2792 - 2- =22
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Answer:
bqgsdfgsdfghsdfbvcxbxcvb
Step-by-step explanation:
my grandmother told me the answer
Ian walked 4 miles in 90 minutes. Bob walked 7 miles in 2.5 hours. Are these rates in proportion? If no, who walked faster?
Answer:
Bob walked faster than Ion.Step-by-step explanation:
90/4=22.5
Ian - 1 mile in 22.5 minutes
2x60=120
60/2=30
120+30=150
150/7=21.43
Bob - 1 mile in 21.43
Answer:
They are not the same because Ian - 1 mile in 22.5 minutes and Bob - 1 mile in 21.43
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
what are numbers called that are the same distance from 0 but in opposite directions
Find the distance between the two points rounding to the nearest tenth (if necessary) (-1,-2) and (5,2)
Answer:
Distance between the two points
AB = √52 = 7.2111
Step-by-step explanation:
Explanation:-
Given points are (-1,-2) and (5,2)
Distance formula
[tex]= \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
[tex]= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }[/tex]
[tex]= \sqrt{(6 )^{2} +(4)^{2} }[/tex]
= √36+16
=√52
= 7.2111
Final answer:-
Distance between the two points
AB = √52 = 7.2111
can someone please help
Answer:
[tex] \boxed{ \boxed{ \tt{3. \: \: \: \: \underline{ \: 11.85}}}}[/tex]
[tex] \boxed{ \boxed{ \tt{ \: 4. \: \: \: \: \: \: \: \underline{13 \sqrt{3} \: cm}}}}[/tex]
Step-by-step explanation:
First , A simple way how to remind the three basic trigonometric functions is by reminding the famous word " SOHCAHTOA". We divide the word in three words with three letters.
[tex] \underline{ \underline{ \sf{SOH , \: CAH , \: TOA}}}[/tex] :
The first letter of each word represents the name of the function.The second letter represents what's up the ratios sign.The third one represents what's at the bottom of the ratio sign.We write :
[tex] \sf{sin \: \theta = \frac{opposite}{hypotenuse} }[/tex][tex] \sf{cos \: \theta = \frac{adjacent}{hypotenuse}} [/tex][tex] \sf{tan \: \theta = \frac{opposite}{adjacent}} [/tex]Now , Let's work on it :
3. Based on the figure ( 3 ) , we know the hypotenuse ( i.e 15 ) & the angle 53° & we have to find the opposite ( x ).
[tex] \sf{ \sin(53) = \frac{opposite}{hypotenuse} }[/tex]
⇾ [tex] \sf{0.79 = \frac{x}{15}} [/tex]
⇾ [tex] \sf{x = 11.85}[/tex]
----------------------------------------------------------------
5. Based on the figure ( 4 ) , we know the adjacent ( i.e 13 cm & the angle 60° & we have to find the opposite ( x ).
[tex] \sf{ \tan(60}) = \frac{opposite}{adjacent} [/tex]
⇾ [tex] \sf{ \sqrt{3} = \frac{x}{13} }[/tex]
⇾ [tex] \sf{x = 13 \sqrt{3}} [/tex] cm
And we're done !
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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An internet download speed is 4.2 MB/S (constant). How long will it take to download a 30 GB file?
And with 900 KB/S?
Answer:
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Step-by-step explanation:
Given that:
Internet download speed = 4.2 MB/S
File to download = 30 GB
1 GB = 1024 MB
30 GB = 30*1024 = 30720 MBS
Time required = [tex]\frac{30720}{4.2}[/tex]
Time required = 7314.3 seconds
With 900 KB/S
1 MB = 1024 KB
30720 MB = 30720 * 1024 = 31457280 KBS
Time = [tex]\frac{31457280}{900}=34952.5\ seconds[/tex]
Hence,
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Answer:
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Step-by-step explanation:
Given that:
Internet download speed = 4.2 MB/S
File to download = 30 GB
1 GB = 1024 MB
30 GB = 30*1024 = 30720 MBS
Time required =
Time required = 7314.3 seconds
With 900 KB/S
1 MB = 1024 KB
30720 MB = 30720 * 1024 = 31457280 KBS
Time =
Hence,
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
4 brainliest only correct answers
Select all statements that are true about the graph of ordered pair (5, −1).
The point is in the fourth quadrant.
The point is 5 units below the x-axis.
The point is 1 unit to the left of the y-axis.
The point is 1 unit below the x-axis.
The point is on the x-axis.
Answer:
The point is in the fourth qaudrant
and, the point is 1 unit below the x-axis
Step-by-step explanation:
hope this helped
What value is equivalent to 81-2^3\cdot\left(5-2\right)81−2
3
⋅(5−2)?
Answer:
57
Step-by-step explanation:
By the Order of Operators:
First parenthesis, then exp and radicals, next multiplications and divisions and finally addition and subtraction
[tex]81-2^{3}(5-2)\\81-2^{3}(3)\\81-8(3)\\81-24\\57\\[/tex]
When solving this equation: -16 + x = -15 we start with adding 16 to both sides. Why do we use addition?
Answer:
So you can cancel out the 16. See, the -16 is negative, and if we add +16 to it, then it cancels out and is 0. That way, you have x=1.
Step-by-step explanation:
-16x+x=-15
+16x +16
0+x=1
x=1
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Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation: 9 cm and 18cm
An new bakery must sell at least $250 worth of cookies and
cakes per day to stay open. Each cookie costs $5 and each
cake costs $25. The store can make a maximum of 15 items
per day
Answer:
125
Step-by-step explanation:
250/x 30/15=125
$250 total then add 25+5=30 max of items is 15
cross multiply 250x15=3225 divide by 250=107.5
hope that's right?
Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?
Answer:
9%
Step-by-step explanation:
8000 x 9%= 720