Answer:
£10200
Step-by-step explanation:
Amount borrowed (P) = £6000
Rate of interest (R) = 7%
Time (T) = 10 years
First, let us calculate the simple interest (SI) for 10 years.
Formula for simple interest is given as:
[tex]S.I.=\frac{PRT}{100}[/tex]
Plugging the values of P, R and T in the above formula, we find:
[tex]S.I.=\frac{6000(7)(10)}{100}[/tex]
S.I.= £4200
Total money paid back at the end of the 10 years
= £6000 + £4200
= £10200
please help me ( if you get it right i will rate you 5/5)
Answer:
D.
Step-by-step explanation:
Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours
12:45 to 17:30 is 285 minutes, or 4.75 hours
3.75 + 4.75 = 8.5 hours (total)
She earns 14.50 dollars per hour
8.5 * 14.5 = 123.25 dollars
D.
Answer:
The answers is D: 8.5 hours x $14.50 = $123.25
Step-by-step explanation:
This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).
Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.
8.5 hours x $14.50 = $123.25
need help :((((((((((((((((((((((
if x=2 and y=-3 solve each of the question
a) 3x+y^2=
b) 3x^2+5y^2=
c)2x+y
d)5y+x^2=
Answer:
A) 15
B) 57
C) 7
D) 19
Step-by-step explanation:
a) 3x+y^2=
Insert the values
3(2) + 3^2
6+9 (3^2 = 3 x 3 = 9)
= 15
b) 3x^2+5y^2=
Insert the values
3(2)^2 + 5(3)^2
3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)
3(4) + 5(9)
12+ 45
= 57
c) 2x+y
insert the values
2(2) + 3
4 + 3
= 7
d) 5y+x^2=
Insert the values
5(3)+ 2^2
15 + (2^2 = 2x2 = 4)
15+4
= 19
Please Help! will give Brainlest!
Answer:
y = 0
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values of the function.
maximum = 0.5 and minimum = - 0.5 , then
y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
the equation of the midline is y = 0 ( that is the x- axis )
Answer:
y=0
Step-by-step explanation:
y = 0.5−0.52\(0.5-0.5)(2)
2
0.5−0.5
= -0.02/0
= 0
The midline is y=0
So if I have 6,000 dollars and I need 20,000 how much money do I need to earn to reach 20,000?
Answer14,000
Step-by-step explanation:
20,000-6,000=14,000
Answer:14000
Step-by-step explanation:
20000 - 6000, not sure why ur doing these type of problems in highschool
Which expression is equivalent to –12 – 40?
Juana invests $1,500 in an account accumulating 3% interest according to the equation v = 1500(1.03), where v
represents the value of the account after y years. Marquez and Calvin invest the same amount of money at the sam
rate. Marquez invests three years before Juana, and Calvin invests two years after Juana. By what factor would
Calvin's investment need to be increased to equal Marquez's investment at any time after Calvin's investment is
made?
A.86.3%
B. 97.1%
C. 115.0%
D. 115.9%
Answer:
d 115.9
Step-by-step explanation:
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)
How to determine the investment needed by Calvin to equal Marquez's investment at any time
In this question we must apply the concept of compound interest to derive the initial investment to be done by Calvin. According to the statement, Calvin invests money five years later than Marquez.
To determine the initial investment to be deposited by Calvin such that his investment equals Marquez's investment at any time we resort to the following expression:
[tex]1500\cdot (1+0.03)^{t+5} = C_{C}\cdot (1+0.03)^{t}[/tex] (1)
Then, we simplify the required initial investment:
[tex]C_{C} = 1500\cdot (1+0.03)^{5}[/tex]
[tex]C_{C} = 1738.911[/tex]
And the increase factor is:
[tex]r_{C} = \frac{1738.911}{1500}\times 100\,\%[/tex]
[tex]r_{C} = 115.927\,\%[/tex]
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D) [tex]\blacksquare[/tex]
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Can someone please help me with these questions
Answer:
easy
bro
Step-by-step explanation:
so you have to calculate the equation
Solve the system using linear combination.
41
S 5x + 3y
Зх бу
9
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?
Answer:
Delta does not have a relative extreme in the equation, so it is variable y It can not be true
Step-by-step explanation:
[tex]s = 5x + 3y[/tex]
There is an answer
The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.
A car is purchased for $23,000. Each year it loses 30% of its value. After how many years will the car be worth $6800 or
less?
Hey there!
A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Set up the depreciation equation D(t) where t is the number of years in the life of the car:
D(t) = 23,000/(1.3)^t
The problem asks for D(t)<=6800
23,000/(1.3)^t = 6800
Cross multiply:
7300(1.3)^t = 24,000
Divide each side by 6800
1.3^t = 23000/6800
1.3^t = 3.38
Take the natural log of both sides:
LN(1.3^t) = LN(3.38)
Using the natural log identities, we have:
t * LN(1.3) = 1.22
t * 0.2624 = 1.22
Divide each side by 0.2624
t = 4.6494
Rounding this up, we have t = 5
Answer:
it would be 7647
close enough though
Step-by-step explanation:
What type of number is -91i?
Choose all answers that apply:
real
imaginary
complex
Answer:
complex
Step-by-step explanation:
express the product of 0.54 and 0.35 in standard form
Answer:
First answer, 0.54 is 54% and for the second one, 0.35 is 35%
Step-by-step explanation:
1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54
2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.
A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifespan of batteries that are within the given standard deviation of the mean?
1. 1 Standard deviation
2. 2 Standard deviation
3. 3 Standard deviation
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
4 cases of Sprite are on sale for $12.
What is the cost per case?
At this rate, how many cases can you purchase for $48?
Answer
One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.
Step-by-step explanation:
How to get the cost for 1 case:
You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.
How to get the amount of cases of sprite you can buy with $48:
divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!
Answer:
It costs $3 per case of Sprite
With 48 dollars, you could buy 16 cases.
Step-by-step explanation:
12/4 = 3 12 dollars divided buy 4 dollars each equals 3 dollars per case
48/3 = 16 48 dollars divided by 3 dollars per case equals 16 cases of sprite
Sonia earned $2,100 at her uncle's orchard. if she worked for 70 weeks and earned the same amount of money each week, how much did she earn per week?
Answer:
30 dollars a week
Step-by-step explanation:
2100/70 is 30
A scale diagram of a statue is drawn using a scale of 1 cm to 6 m.
The statue is 30 m tall in real life.
How tall is the diagram of the statue?
Answer:
5cm in the diagram
Step-by-step explanation:
30/6=5
Luca sells muffins and juice boxes at the
school snack bar. muffins are $1.50 each
and juice boxes are $1.25 each.
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
The area of this rectangle is 132 square units.
h = 11
What is the base of the re
angle?
Please help begging u ..
Answer=12
Step-by-step explanation:
The area of a rectangle is h×b.
h=11
11×b=132
b=132/11=12 units
Ms. fudge recently gave an algebra 1 test. the scores were normally distributed with a mean of 74 and a standard deviation of 8. find each of the following. write as a percent.
Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 74 and the standard deviation of 8, we have that:
74 - 8 = 66
74 + 8 = 82.
Hence, there is a 68% probability that a student scored between 66 and 82.
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Paisley is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 22 meters from the building. The angle of elevation from her eyes to the roof (point A) is 29°, and the angle of elevation from her eyes to the top of the antenna (point B) is 42°. If her eyes are 1.74 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary.
Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.
What is the Tangent Ratio?Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).
The information given has been sketched in the diagram attached below.
Find AC using the tangent ratio. Thus, we would have:
tan 29 = AC/CD
Substitute
tan 29 = AC/22
AC = tan 29 × 22 = 12.2 m.
Find BC using the tangent ratio:
tan 42 = BC/DC
Substitute
tan 42 = BC/22
BC = tan 42 × 22 = 19.8 m.
The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.
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find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)
Step-by-step explanation:
could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, all in all we get
pi×r²×h
with r being the radius (half of the diameter), and h being the height.
in our case we get
pi×(140/2)²×10 = pi×70²×10 = 49000×pi =
= 153,938.04... cm³
From the tip of a 9 foot tree, to the end of it's
shadow is 15 feet. Which is longer, the tree
or the shadow? By how much?
Answer:
The shadow is longer by 3ft
Step-by-step explanation:
A simple a^2 + b^2 = c^2 problem
81 + b^2 = 225
b = 12ft
pleaseeee help me solve for X.
Answer:
x-17.5
Step-by-step explanation:
angles in a triangle add to 180
3x+8+(2x-3)+5x = 180
simplify(collect like terms):
10x + 5 = 180
solve:
10x = 175
x=17.5
true or false are these lines are intersecting
Answer: True.
Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel. Parallel lines look like the image below. The point of intersection in your image is where K is.
Hope this helps! :)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: x = 54°
Step-by-step explanation:
The sum of these three inter angles is equal to 180°.
36° + 90° + x° = 180
126 + x = 180
x = 54°
Step-by-step explanation:
36° +90°+ x = 180° ( sum of all angle of triangle is 180°)
126° + x = 180°
x = 180° - 126°
x = 54°
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 2 inches. How much wax will the company need to make 160 candles? Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Answer: 18,086.4 cubic units
Step-by-step explanation:
the radius squared: 3×3.14×4²=150.72.
If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.
After door-to-door canvassing, census workers determine the number of unoccupied homes. The table shown to the
right lists the number of homes, in millions, that were unoccupied in four census years.
Answer questions a through c.
The exponential regression equation of the census predicts the number of unoccupied homes
The exponential regression equation is y = 5.247256 * 1.033157^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 5.3
10 7.3
20 9.7
30 14.3
To determine the exponential regression equation, we make use of a graphing calculator.
The calculation summary from the graphing calculator are:
Regression Equation: y = 5.247256 * 1.033157^xCorrelation: r = 0.998002R-squared: r^2 = 0.996008Hence, the exponential regression equation is y = 5.247256 * 1.033157^x
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Talia tossed a penny many times. She got 30 heads and 50 tails. She said the experimental probability of getting heads was
30
50
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.
She did not
(select)
30 and 50 to find the total number of trials. The experimental probability of landing on heads is
Answer:
The probability of landing on heads is 50 and the probability of landing on tails is 50.
Step-by-step explanation:
Her answer is wrong because -
A. It does not equal 100, all percentages must add to 100
B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal
Elizabeths school is selling 100 raffle tickets to raise money for a new gymnasium. The grand prize is a ten speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys all the tickets
The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.
What are the chances that Elizabeth will win the raffle?If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.
In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.
Find out more on likely events at https://brainly.com/question/7130419.
50 POINTS CORRECT ANSWER ONLY!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
!! Use an explicit formula to find the time she will complete the 10th station. Show your work. !!
Answer:
Step-by-step explanation:
Part A
The data is modeling a geometric sequence because they have a common ratio of 2.
Part B:
= 48
Step by Step Answer
f(n)=f(n-1)*r
f(n)=f(5-1)*2
f(n)=f(4)*2
f(n)=(24)2
f(n)= 48
Part C:
= 384
Step by Step Answer
f(n)=f(1)*r^n-1
f(n)=3*2^8-1
f(n)=3*2^7
f(n)=3*128
f(n)=384
Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).
What is a geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
aₙ=a₁(r)ⁿ⁻¹
The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.
We can find the common ratio by dividing any term by its preceding term.
Common ratio = 4/2 = 8/4 = 16/8 = 2
Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:
Tₙ = T₁ r⁽ⁿ⁻¹⁾
where r is the common ratio.
We are given the first four terms:
T₁ = 2
T₂ = 4
T₃ = 8
T₄ = 16
We can use the formula to find the time taken to complete the 10th station (x = 10):
T₁₀ = T₁ r⁽¹⁰⁻¹⁾
T₁₀ = 2(2)⁹
T₁₀ = 2 x 512
T₁₀ = 1024
Therefore, T₁₀ = 1024.
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