Answer:
x = 18
Step-by-step explanation:
1: 1/2x - 7 = 1/3x - 4
2: 3/6x - 7 = 2/6x - 4
3: 3/6x = 2/6x + 3
4: 1/6x = 3
5: x = 18
Harry is saving for the deposit for an apartment. He has 21 350 EUR, but needs at least 30
000 EUR in 3 years time.
He compares banks that offer annual interest compounded monthly.
What is the minimum interest rate he requires to meet his needs? Give your answer to three
significant figures.
[Answer format: 00.0%]
We need to know about the concept of compound interest to solve the given problem. The minimum interest rate that Harry needs to meet his need is 11.4%
Compound interest can be described as the interest that you earn on both the principal amount and the interest earned. In this question it is said that the bank offers annual interest compounded monthly, we will be using a formula to solve this problem. Since Harry has 21350 EUR we will take that as the principal amount and the minimum amount that he needs is 30000 EUR we will consider this to be the final amount at the end of 3 years. We need to find out the rate of interest that the bank offers.
A=P[tex](1+\frac{r}{12} )^{12t}[/tex] where A is amount, P is principal, r is the rate of interest and t is time period.
P=21350 EUR
A=30000 EUR
t=3
30000=21350[tex](1+\frac{r}{12}) ^{36}[/tex]
[tex]\frac{600}{427} =(1+\frac{r}{12}) ^{36}[/tex]
1+[tex]\frac{r}{12}[/tex]=1.00949
r/12=0.00949
r=0.1139
r=11.4%
Therefore we found that the minimum rate of interest Harry requires to meet his needs is 11.4%
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Can someone tell me what 17-6+2 is please?
Answer:
[tex]\frac{3}{x-1}+\frac{2}{x+1}=\frac{5}{x}[/tex]
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
28 – 2.5x – 2y
32 + 2.5x + 2y
32 – 2.5x – 2y
:(
Information about five planets is shown in the table below.
Diameter (km)
4.88 × 10³
1.43 x 105
1.28 x 10¹
6.78 × 10³
1.21 x 105
Planet
Mercury
Jupiter
Earth
Mars
Saturn
Mass (kg)
3.3 x 1023
1.898 × 1027
5.97 x 1024
6.42 x 1023
5.68 × 1026
a) Write down the name of the planet with the greatest mass.
b) Work out the radius of Mercury giving your answer as an ordinary number.
Answer:
Mass is the property of a body that measure its inertia. It is taken as the measure of the amount of material it contains and have weight in gravitational field
Mass is also refers as the weight of an object. It is measured in grams (g) and kilograms (kg)
Radius of an object is defined as a straight line from the centre of a circular object to the circumference of the circular object
According to the data given of five planets
(a) The planet which has greatest mass is Mars that is 6.42 x 1023 kg
Radius of a given object can be calculated by dividing the diameter of the given object by 2.
(b) Radius of the mercury = Diameter given in kilometers / 2
= 4.88 × 10³ / 2
= 2.44 x 103 km
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among cbc students, 50% of students are enrolled in less than three courses and 33% of students are taking a math class. if 71% of students are either enrolled in less than three courses or taking a math course, what percentage of students are enrolled in less than three courses and taking a math course? group of answer choices 38% 35.5% 17% 83% 12%
12% of students are enrolled in less than three courses and taking a math course
For given question,
50% of students are enrolled in less than three courses and 33% of students are taking a math class.
The probability that the students are enrolled in less than three courses is 0.5
P(A) = 0.5
The probability that the students are taking a math class is 0.33
P(B) = 0.33
if 71% of students are either enrolled in less than three courses or taking a math course.
P(A ∪ B) = 0.71
We need to find the percentage of students that are enrolled in less than three courses and taking a math course.
i.e., we need to find P(A ∩ B)
We know that, P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∩ B) = 0.5 + 0.33 - 0.71
P(A ∩ B) = 0.12
So, 12% of students are enrolled in less than three courses and taking a math course.
Therefore, 12% of students are enrolled in less than three courses and taking a math course.
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If point A (–1, 0) is the midpoint of segment CT, and T is located at (1, 2), what are the coordinates of point C?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad T(\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 +x}{2}~~~ ,~~~ \cfrac{ 2 +y}{2} \right) ~~ = ~~ \stackrel{\textit{\LARGE A}}{(-1~~,~~0)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+x}{2}=-1\implies 1+x=-2\implies \boxed{x=-3} \\\\\\ \cfrac{2+y}{2}=0\implies 2+y=0\implies \boxed{y=-2}[/tex]
Frozen hamburgers are sold in packages of 4 and hamburger buns are sold in packages of 6. What is the smallest number of hamburgers and buns that can be sold so the number of hamburgers equals the number of hamburger buns?
PLS ANSWER QUICK!!!!
Answer:
The least common multiple of 8 and 6
burgers: 6, 12, 18, 24
buns: 8, 16, 24
You make 24 burgers which is 4 packages
of meat patties and 3 packs of buns.
4. Which of the following is the same figure as EG?
a) EF
b) EG
c) EF
d) EG
- Which of the following is the same figure as DF?
a) GF
b)FD
c) DF
d) DE
6. Which of the following is the same figure as DG?
a) DG
b) EG
c)GD
d) EG
7. Which of the following is true about the figu
a) DE EF
b) ED=FG
c) EF FG
d) DF DE
Answer:
a) EF
c) DF
a) DG
a) DE EF
Step-by-step explanation:
Please help!! Questions 16-19
Answer: 16. f(1)=-2
17. f(-3)=1
18. x=0
19. x=-1 and x=1
Step-by-step explanation:
16. f(1)=-2
17. f(-3)=1
18. f(x)=-3
x=0 ==> f(0)=-3
19. f(x)=-2
x=-1 and x=1 ==> f(-1)=-2, f(1)=-2
12 ÷ 3 × (15 - 6) + 3
Answer:
39
Step-by-step explanation:
[tex]{ \blue{ \mathfrak{39}}}[/tex]
Step-by-step explanation:
[tex]{ \red{ \tt{ \frac{12}{3} }}} \times ({ \green{ \tt{15 - 6}}}) + { \red{ \tt{3}}}[/tex]
[tex]{ \red{ \tt{4}}} \times { \green{ \tt{9}}} \: + \: { \red{ \tt{3}}}[/tex]
[tex]{ \red{ \tt{36}}} + { \red{ \tt{3}}}[/tex]
[tex] = { \purple{ \mathfrak{39}}}[/tex]
Maria purchased 1,000 shares of stock for $35.50 per share in 2003.
share. Express her capital gain
She sold them in 2007 for $55.10 per
as a percent, rounded to the nearest tenth of a percent.
Maria's capital gain is 55.2%.
Here, we are given that Maria purchased 1,000 shares of stock for $35.50 per share in 2003.
Thus, the total cost price of these shares = 1000 × 35.5
= $35500
In 2007, she sold all of the stocks for $55.10 per share
Thus, the total selling price of these shares = 1000 × 55.1
= $55100
Now, absolute gain = selling price - cost price
Here, Maria's absolute gain will be-
= 55100 - 35500
= 19600
Now, her percentage gain will be given by-
Gain % = absolute gain/ initial value × 100
= 19600/35500 × 100
= 55.2
Thus, Maria's capital gain is 55.2%.
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really need an explanation
Given f(x) = 5x squared of 2 + 2 and g(x) = 8 - 3x, find the following.
12. Find g[f(-2)].
11. Find flg(x)).
what numbers are missing from the pattern? 11,22,?,?,?,?,77,88,99
Please Answer ASAP!!! HURRY:)
Answer:
so it goes 11,22,33,44,55,66,77,88,99!
Step-by-step explanation:
Not that hard you're welcome kings and queens have a nice day
Order the square root of 50, negative 7.1 repeating, twenty three thirds, and negative seven and one fifth from least to greatest. negative 7.1 repeating, negative seven and one fifth, square root of 50, and twenty three thirds negative seven and one fifth, negative 7.1 repeating, twenty three thirds, and the square root of 50 negative 7.1 repeating, negative seven and one fifth, twenty three thirds, and the square root of 50 negative 7 and one fifth, negative 7.1 repeating, square root of 50, and twenty three thirds
Answer:
I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50
how to find the rise and run on the graph
rise: 1 run: 2
slope: 1/2
you can start from any point on the slope. if i picked point (-5,0) i go up 1 square and right 2 squares to get to point (-3, 0). thats basically the rise and run, and the slope is always rise over run
Find two consecutive even integers such that 6 times the smaller integer is 36 more than 3 times the larger integer. Please Help me!
The integers are 14 and 16.
How to calculate the value?Let the integers be represented by x and x+2.
It was stated that the consecutive even integers such that 6 times the smaller integer is 36 more than 3 times the larger integer.
This will be:
6(x) = 3(x + 2) + 36
6x = 3x + 6 + 36
6x = 3x + 42
6x - 3x = 32
3x = 42
Divide
3x/3 = 42/3
x = 14.
The larger number will be:
= x + 2
= 14 + 2
= 16
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I WILL GIVE BRAINLIEST Juan writes 3^2 ∙9^4 = 27^6 and the teacher marked it wrong. Explain Juan’s error.
Juan multiplied the bases together, and added the power together, therefore, his solution is wrong.
What is power?Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The correct solution,
3² ∙ 9⁴
= 3² ∙ (3²)⁴
= 3² ∙ 3⁸
= 3¹⁰
Hence, Juan multiplied the bases together, and added the power together, therefore, his solution is wrong.
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f(a) = a + 3. Find f(7)
Answer: a=1/2=0.5
Step-by-step explanation:
7(a)=a+3
Subtract a from both sides.
7a−a=3
Combine 7a and −a to get 6a.
6a=3
Divide both sides by 6.
a= 63
Reduce the fraction
63
to lowest terms by extracting and canceling out 3.
a= 21
. Two angles in a triangle have measures 30° and 57°. What is the measure of the
third angle?
Answer:
93
Step-by-step explanation:
first you add 30 and 57
where you will get 87
then subtract 87 from 180 and get 93
Find the equation of the line which passes through (6,2) and is parallel to the line with equation 3y=5x+2
Answer:
3y = 5x - 24
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3y = 5x + 2 ( divide through by 3 )
y = [tex]\frac{5}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation of the parallel line
to find c substitute (6, 2 ) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = [tex]\frac{5}{3}[/tex] x - 8 ← equation in slope- intercept form
multiply through by 3 to clear the fraction
3y = 5x - 24 ← equation of parallel line
Complete the following statement. Use the integers that are closest to the number in the middle.
< –80
Answer:
Step-by-step explanation:
Complete the following statement. Use the integers that are closest to the number in the middle.
< –80
Can somebody please help me?
Expand and simplify (K+4)(7k+3)
Answer:
(k + 4) (7k + 3)
k(7k + 3) + 4(7k + 3)
7k² + 3k + 4(7k + 3)
7k² + 3k + 28k + 12
7k² + 3k + 28k + 12
7k² + 31k + 12
7k² + 31k + 12
if the length of a rectangle is increased by 30 percentage and the width of the same rectangle is decreased by 30 what is the affect on the area
Answer:
The area will decrease by 9%.
Step-by-step explanation:
The area of a rectange is given by the formula below.
[tex]\boxed{\text{Area of rectangle}= \text{length}×\text{width}}[/tex]
Let the original length and width of the rectangle be L and W respectively.
Start by finding the original area:
Original dimensions
Length= L= 100%L
Width= W= 100%W
Original area= LW
Let's find the dimensions of the new rectangle in terms of L and W.
New dimensions
Length= (100% +30%)L= 130%L
Width= (100%-30%)W= 70%W
New area
[tex] = \frac{130}{100} L \times \frac{70}{100} W[/tex]
[tex] = \frac{91}{100} LW[/tex]
= 91% LW
Comparing the new area with the original area:
100% LW- 91% LW= 9% LW
∴ The area will decrease by 9%.
*Note that percentage is equivalent to dividing a number by 100.
перший завод виготовляє 6000 деталей з них 2% бракованих а в другого 6% бракованих скільки деталей робить другий завод якщо разом в них 3%
Answer:
18000
Step-by-step explanation:
18 000, тому що якщо ви заробляєте 6 000 і маєте 2% дефектних деталей, помножте на 3, щоб отримати 6% дефектних деталей, які дають вам 18 000
A teacher has a salary of $25,920 for her second year on the job. If this is 4.2% more than her first year salary, how much did she earn her first-year?
Answer:
i don't know the answer!!
Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime, how much did he earn?
When Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2
Given,
The amount he earns in an hour = $5.40
Total number of hours he worked =40 hours
The amount he earns = 5.40×40 = $216
Overtime hours = 2 hours
Overtime payment per hour= 5.40×1.5= $8.1
The amount he earns for overtime = 2×8.1= $16.2
The total amount he earned = 216+16.2= $232.2
Hence, when Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2
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Which statements are true about the graph of the system of linear inequalities? Select two options.
y > 3x – 4
y < One-halfx + 1
The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < One-halfx + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.
There are no solutions to the system.
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
The statements that are true about the graph of the system of linear inequalities include:
The graph of y > 3x − 4 has shading above a dashed line.
The graphs of the inequalities will intersect.
How to illustrate the information?y means the shading will be above the corresponding line.
y means the shading will be below the corresponding line.
Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.
Therefore, the graph of y > 3x − 4 has shading above a dashed line and thee graphs of the inequalities will intersect.
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Answer:
A, C
Step-by-step explanation:
Which statements are true about the graph of the system of linear inequalities? Select two options.
y > 3x – 4
y < One-halfx + 1
The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < One-halfx + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.
There are no solutions to the system.
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
Edge 2022
is 5 1/25 irrational