Answer:8976
Step-by-step explanation:
Nathan is opening a savings account that has a 10% simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded interest rate?
Answer:
Dollars earned after 5 years = $45.79
Step-by-step explanation:
Given that:
Initial money deposited in account = $75
Time for which the money is deposited = 5 years
Interest rate = 10%
Nature of interest = Simple Interest
Amount after 5 years = $112.50
To find:
Total money earned after 5 years if the interest is compounded ?
Solution:
Formula for amount if the interest is compounded annually:
[tex]A =P(1+\frac{R}{100})^T[/tex]
Where P is the principal amount (initial money)
R is the rate of interest
T is the time
Putting all the values:
[tex]A =75\times (1+\frac{10}{100})^5\\\Rightarrow \bold{A = \$120.79}[/tex]
Total more money earned or the interest after the compounding nature =
[tex]A - P[/tex] = $120.79 - $75 = $45.79
PLEASE HELP ASAP will give brainlist
Answer:
43
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
x=43
Step-by-step explanation:
78+59
180-137=43
what's the common difference 6.5,5,3.5,2,
Plz, solve this teacher put this on worksheet help!!
Answer:
Step-by-step explanation:
A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell before they run out of lemonade
Answer:
32 Large lemonade
Step-by-step explanation:
A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell before they run out of lemonade
1 gallon = 128 oz
Hence, 4 gallons = x
x = 4 × 128 0z
x = 512 oz of Lemonade
If
1 large lemonade = 16 oz
16 oz = 1 large lemonade
512 oz = x
x = 512/16
x = 32 large lemonades
The restaurant will.sell 32 large lemonade
A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?
Answer:
Height of the tree is 78.11 feet.
Step-by-step explanation:
By applying the tangent rule in the right triangle formed,
Since, tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(32)° = [tex]\frac{h}{125}[/tex]
h = 125(tan32°)
h = 125(0.62487)
h = 78.109
≈ 78.11 ft
Height of the tree will be 78.11 feet.
Select the equation Wich represents the graph
Answer:
bubble 1
Step-by-step explanation:
it is going to be +4 because the Y intercept is at positive 4. it is also has a slope of -3 becuase rise over run equals 3 but the slope from left to right reads going down so it is negative plz vote brainliest
PLEASE GUYS HELP ITS DUE TONIGHT
Answer:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
[tex] 4x + 24 = 7x + 6 [/tex] (substitution)
Collect like terms
[tex] 4x - 7x = -24 + 6 [/tex]
[tex] -3x = - 18 [/tex]
Divide both sides by -3
[tex] x = 6 [/tex]
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20
2. Write an equation that represents the following word problem:
The perimeter of a square is equal to four times the length of one side.
p = 4x
p = x + 4
p = 4 = x
p = 4 - x
Answer:
p=4x
Step-by-step explanation:
If you need a further explanation feel free to ask
Answer:
p=4x
Step-by-step explanation:
Whosever answers first gets marked brainliest!
Answer:
Step-by-step explanation:
C.
$5.85 / 13 cans = $0.45/can
$9.45 / 21 cans = $0.45/can
13 cans for $5.85 = 21 cans for $9.45
The ratios are equal.
(PLEASE SOLVE ASAP!!) Suppose the entry fee to Arches national park is $25 per vehicle. Suppose the entrance fee to Bryce national park can be represented by the equation y=30x, where y represents the total cost in dollars, and x represents the number of vehicles. Which park has the greatest cost per vehicle?
Answer:
Bryce national park has the greatest cost per vehicle.
Step-by-step explanation:
From the question, we are given the following:
For Arches national park
Cost per vehicle or entry fee per vehicle at Arches national park = $25
For Bryce national park
We have:
y = 30x ........................... (1)
y = the total cost in dollars
x = the number of vehicles
To obtain the cost per vehicle at Bryce national park, we have to assume that the number of vehicles is one by setting x equal to one, that is, x = 1.
Substituting x = 1 into equation (1), we have:
y = 30 * 1 = 30
This implies that cost per vehicle at Bryce national park is $30.
Conclusion
Since the $30 cost per vehicle at Bryce national park is greater than the $25 cost per vehicle at Arches national park, it therefore implies that Bryce national park has the greatest cost per vehicle.
Élizabeth a 20 ans de moins que son père. Si son père est trois fois plus âgé qu’elle, détermine l’âge de chacun.
22 + 53x + x = -20 + 60x
The Probabilty of rolling a 1 on a 6 sided biased dice is 0.85
Answer:
false
Step-by-step explanation:
This statement is false. There are a total of 6 sides on a six-sided die therefore, every roll is a one in six chance of getting a single number since only one number can be obtained per roll. So that would mean that the probability is
[tex]\frac{1}{6}[/tex] or 0.16666 or 16.66%
That would be the actual probability of rolling a 1 on a single roll of a six-sided die, not 0.85
if 2(3x+5)=6x+10 is what property
Answer:
2(3x + 5) = 6x + 10
⇔ 6x + 10 = 6x + 10
=> infinite solution
Step-by-step explanation:
Statistics and probability: If the glucose level is above 160mg per dl one hour after a sugary drink, Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with the mean being 145mg/dl and a standard deviation of 11mg/dl. If a single glucose measurement is made, what is the probability that Sheila is diagnosed with gestational diabetes?
Answer:
0.0863
Step-by-step explanation:
Given that:
The mean =145
The standard deviation = 11
To find P(X ≥ 160) :
Z = (x - μ)/σ
Z = 160 - 145/ 11
Z = 1.364
From the standard normal z table
Thus;
P(X ≥ 160) = 1- P(Z < 1.364)
P(X ≥ 160) = 1 - 0.9137
P(X ≥ 160) = 0.0863
SOMEONE PLZ HELP ME!!!!!
Explain how you find a unit rate when given a rate.
Answer:
when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6
Step-by-step explanation:
Which describes the correlation shown in the scatterplot?
On a graph, points are grouped together and decrease.
A. There is a positive correlation in the data set.
B. There is a negative correlation in the data set.
C. There is no correlation in the data set.
D. More points are needed to determine the correlation.
It can be said that the "there is a negative correlation in the data set". Option B is correct.
The graph shows points that are grouped together and are decreasing.
The gathered data shows that there is a possibility to get correlation between them.
The group of data is decreasing. So, the correlation of the data will be negative in nature.
Therefore, it can be said that the "there is a negative correlation in the data set". Option B is correct.
For more details, refer to the link:
https://brainly.com/question/11705632
Answer:
The answer B
My Homeys
Have a blessed day guys and gals
The temperature in Vancouver was recorded over a period of four hours. The equation y = -2x + 43 describes the temperature over this time, where y is the temperature in degrees Fahrenheit (°F) and x is the number of hours since measurements started. Which of the following statements correctly describes the temperature? A. It was -2°F when the temperature was first measured, and it is rising by 43 degrees per hour. B. It was 43°F after four hours, and it is dropping by 2 degrees per hour C. It was -2°F after four hours, and it is rising by 43 degrees per hour D. It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour
Answer:
D
Step-by-step explanation:
I had the same quiz
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour.
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 8 is an equation.
We have,
y = -2x + 43
Where y is the temperature after x hours.
Now,
At x = 0,
y = 43
This means the temperature is 43 when it first started to measure.
At x = 1,
y = 41
This means,
The temperature decreases by 2 degrees per hour
Thus,
It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour.
Option D is the correct answer.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.
Answer:
the correct answers are 22 and 8
which equation represents the same line as the points in the table
Answer:
The answer for this is the 2nd one
Stretch y=6x by a factor of 3
Answer:
If my memory serves me correctly, then you just have to multiply the variable 3 by whatever number you are facorting it by, in this case 6 and 3.
So, the answer would be y = 18x
May I have brainliest please? :)
How many cups are in 500mL
Answer:
30+
Step-by-step explanation:
what is the output of the function when the input is 0
enter your answer as a number like this:42
MARKING BRAINLIST
Answer:
y = -1
Step-by-step explanation:
Any ordinate pair (x, y) represents the input output values of a function to be graphed.
For any input value of x, there will be an output value (y).
If input value for the graph attached is x = 0,
Output value will be represented by the y-value along y-axis as, y = -1
Therefore, y = -1 will be the answer.
Solving 2 Step equation
Solve the two step equation:
2x – 8 = 6
What does x equal
Answer:
x=7
Step-by-step explanation:
2x-8=6
2x=14
x=7
Answer:
the answer is 7.
Step-by-step explanation:
2x-8=6
you would need to add 8 to both sides to remove the 8 from the left side. so that makes it
2x=14
then you would need to divide both sides by 2 to remove the 2 from the left side. so..
x=7
HELP ASAP!!!!! need help now please, 10 points for the person who answers
5(2p-6)=40
10p-30= 40
what is the percent of 9 out of 15?
Answer:
60% plz brainiest me
Step-by-step explanation:
9 divided by 15 is 0.6. 0.6 converted to a percent is 60%
Answer:
60 %
Step-by-step explanation:
9 divided by 15 is 0.6. 0.6 converted to a percent is 60%
Simplify the following expression: x − x
Answer:
=x
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
1-1=X-X
Need help with 3 questions!
On Tuesday, the mailman delivers three checks for $5 each and two bills for $2 each. If you had a starting bank account balance of $25, what is the ending balance?
Answer:
The ending balance is $36.
Step-by-step explanation:
With the information given, in order to find the ending balance, you have to take the starting bank account balance and add the three checks that is money you receive and subtract the two bills that is money you need to pay and comes out of your account:
25+(3*5)-(2*2)=25+15-4=36
According to this, the answer is that the ending balance is $36.