Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answer:
x= 4 y = -1
(5,-1)
Step-by-step explanation:
x + y = 4 x − y = 6
Add the two equations together to eliminate y
x + y = 4
x − y = 6
---------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
x+y = 4
5+y = 4
Subtract 5 from each side
5+y-4 = 4-5
y = -1
Answer
5,-1
Step-by-step explanation:
edg 2020
What is the base of a triangle with a height of 14 cm and an area of 42 square cm?
Answer:
[tex]6cm[/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]
hope this helps
Answer:
6
Step-by-step explanation:
What is the measure of the supplementary angle of the 65˚ angle?
A.50˚
B.40˚
C.130˚
D.310˚
Answer:
115
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:
x+65=180
x=180-65=115 degrees
Hope this helps!
Answer:
None of them
Step-by-step explanation:
Supplementary angles have 180 degrees
50+65=115
40+65=105
130+65=185
310+65=375
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
Please help please :( I will really appreciate it thank you
Answer:
an Altitude
Step-by-step explanation:
Its altitude indicated by point A to line BC
Answer:
Im pretty sure that would be an altitude
Step-by-step explanation:
Need some help with a few consecutive integer word problems, tysm if you do :)
The sum of three consecutive odd integers is -57. Find the integers.
A. -19, -17, -15
B. -19, -21, -23
C. -21, -19, -17
D. -21, -23, -25
Three times the greater of two consecutive odd integers is 5 less than 4 times the smaller. Find the integers.
A. 8, 9
B. 7, 9
C. 11, 13
D. 3, 5
Five times the smaller of two consecutive odd integers is 11 more than 4 times the greater. Find the integers.
A. 13, 15
B. -7, -5
C. -7, -9
D. 19, 21
Answer:
Answers are: A,D, and A
Step-by-step explanation:
I hope these are right
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Answer:
65p
Step-by-step explanation:
375 divided by 750=0.50
0.50+15=65p
Answer:
0.65
Step-by-step explanation:
750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65
URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c for child
a for adult
4c+ 6a ≤ 120 for build
4c +4a ≤ 100 for test
We want 20 child and 6 adult
4(20)+ 6*6 ≤ 120
80+36 ≤ 120
116 ≤ 120 true for build
4*20 +4*6 ≤ 100
80+24 ≤ 100
104 ≤ 100
False for test
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem: 171 divided by 3.8 Jacob started by multiplying the divisor and the dividend by 10. This is the new problem: 1710 divided by 38 Use long division to find the quotient. 0.45 4.5 45 450
See the attached picture
Answer:
45
Step-by-step explanation:
(i just highlighting the answer from the other person's paper)
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
What is the quotient of y/4 divided y/8
Answer:
2
Step-by-step explanation:
when you divide fraction, you flip the second fraction and change to multiply
y/4 *8/y =8/4 =2
Answer:
2
Step-by-step explanation:
[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]
= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]
= [tex]\frac{8y}{4y}[/tex]
= 2
Hope this helps <_>
Which value is NOT equivalent to the other values?
A: 1.5
B: 15%
C: 3/20
D: 0.15
Answer:
A
Step-by-step explanation:
1.5 does not equal 0.15 or the other values.
The equation of the graphed line is..... x+......y=4 ANSWER FAST PLZZXZZ FILL IN THE BLANKS (DOTED LINE)
Answer:
x+2y=4
Hope this helped
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
What is the HCF of 36 81?
Answer:
9
Step-by-step explanation:
Let us look at the factors of each of these
36:
1 and 36
2 and 18
3 and 12
4 and 9
81:
1 and 81
3 and 27
9 and 9
When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.
Answer: hope that's right
HCF OF 36 81 = 9
Step-by-step explanation:
Steps to find HCF:
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3
Find the prime factorization of 81 81 = 3 × 3 × 3 × 3
To find the HCF , multiply all the prime factors common to both numbers:
Therefore, HCF = 3 × 3
True or false All irrational numbers are real numbers. Explain
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.
The answer is True
The statement that all irrational numbers are real numbers is true.
Real number is a union of rational number and irrational numbers.
An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.
Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.
Thus, all irrational numbers are also real numbers.
Yes, the given statement is true.
Learn more about irrational numbers here:
https://brainly.com/question/17450097
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What is another word for magnitude
Answer:
Step-by-step explanation:
Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction
Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30
Another word for magnitude is "size" or "extent."
We have,
Magnitude refers to the size, quantity, or intensity of something.
It is a measure of the absolute value or scale of a particular attribute or characteristic.
In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.
It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.
Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.
Thus,
"size" or "extent." are the other words for magnitude,
Learn mroe about magnitude here:
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Please HELP!!!!!!! PLEASE
Answer:
Step-by-step explanation:
Twins born call A
single child born called B
twins in family history 1
twins not in family history 2
my new table
1. 2
A 8/34=0.23 (23.52%) 26/34=0.7647 (76.47%)
B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)
I hope u understand my table
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds
Answer:
2 and three-fourthsStep-by-step explanation:
Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;
[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]
2 and three-fourth therefore gives the required expression
Answer:
2 and three-fourths
Step-by-step explanation:
Given the expression , the equivalent expression can be gotten as shown;
Step-by-step explanation:
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
Please help. Posting question below will mark brainiest and 25 points!!!!!!
Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides
Answer:
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘.
Step-by-step explanation:
Since opposite angles of a parallelogram are equal. Therefore,
3x − 2=50 − x⇒x = 13
(3x−2)∘ = 3(13)−2 = 37∘
The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.
Another angle = 180−37=143∘
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]V=122.5in^3[/tex]
Step-by-step explanation:
The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .
So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).
[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]
Answer:
122.5
Step-by-step explanation:
Need help fast
(X-5)^2+11=20
Answer:
X= 8, 2
Step-by-step explanation:
So, to solve answers like these you have to have to take the root of both sides and then solve. Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes. Hope this helps!!
Answer:
Answer: (x-2) • (x-8)
(X-5)^2+11=20
Step by Step explanation:
1. 1 • 16 = 16
2. Find two factors of 16 which will be -10
-16 + -1 = -17
-8 + -2 = -10
3. x2 - 8x - 2x - 16
4. x • (x-8)
2 • (x-8)
5. (x-2) • (x-8)
(((( Yo Welcome)))
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹
Answer:
y=3/4x+17/4
Step-by-step explanation:
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
The slope-intercept form of the equation of the line is y = ax + b
This line passes (-3, 2) and (1, 5)
=> 2 = a(-3) + b
=> 5 = a(1) + b
Subtraction 1st equation from 2nd equation, we have:
3 = 4a
=> a = 3/4
From 2nd equation, we have: 5 = 3/4 + b
=> b = 5 - 3/4 = 17/4
=> y = (3/4)x + 17/4
Hope this helps!
write a rule for the nth term of the sequence 15, 19, 23, 27
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Pls answer this correctly
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn?
Approximately 68%
Approximately 75%
Approximately 95%
99.7%
The output or possible values you could get as a result from
an expression or equation.
Answer:
The Solution Set
Step-by-step explanation:
Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.
[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]
Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.
[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]
The output or possible values you could get as a result from an expression or equation is the solution set of the equation
Take for instance, we have the following equation
[tex]x^2 = 4[/tex]
When solved, the equation becomes
[tex]x = \pm 2[/tex]
This can be rewritten as:
[tex]x = \{-2,2\}[/tex]
This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]
Hence, the output or possible values are called solution set
Read more about equations at:
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On a compass, what bearing is South East?
HELP FAST
√32 as a mixed radical
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]
Hope this helps!
Answer:
[tex]4\sqrt{2} \\[/tex]
Step-by-step explanation:
4 times the square root of 2 is equivalent to the square root of 32.